S.D.C. Wehner
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47 records found
1
This work addresses the gap by performing a component-wise threat identification of Arqon, simulating attack vectors on its Python implementation, and providing concrete mitigation. The identified vulnerabilities can be primarily categorized into denial-of-service and data integrity attacks. This work also explores the impact of possible attack spillover between the classical control plane and the quantum data plane.
As the first formal security evaluation of Arqon, this thesis addresses its immediate vulnerabilities, establishes a clear road map for future control plane hardening, and helps in the transition of quantum network security from theory to practice. ...
This work addresses the gap by performing a component-wise threat identification of Arqon, simulating attack vectors on its Python implementation, and providing concrete mitigation. The identified vulnerabilities can be primarily categorized into denial-of-service and data integrity attacks. This work also explores the impact of possible attack spillover between the classical control plane and the quantum data plane.
As the first formal security evaluation of Arqon, this thesis addresses its immediate vulnerabilities, establishes a clear road map for future control plane hardening, and helps in the transition of quantum network security from theory to practice.
Quantum networks with satellites
Hardware, protocol and architectures
To this end, we begin by exploring how current satellite links can be made more efficient, specifically, how to increase the amount of quantum information reaching the ground stations, avoiding the requirement of long coherent time in the quantum memories and without altering the satellite hardware. We propose the use of high-dimensional encoding, showing an improvement in the rate of entanglement compared with conventional qubit encoding.
From there, the discussion expands to a full quantum network architecture using several quantum repeaters place in space, with the aim of achieving secure liks across intercontinental distances. We propose a setup based on individually trapped atoms acting as both single-photon sources and quantum memories. Incorporating hardware imperfections and modeling transmission losses through free space and the atmosphere, we estimate the hardware performance required to achieve high-fidelity entanglement at a chosen transmission rate.
Finally, we go to a more specific example of distributing quantum key (QKD) to different cities of the Iberian Peninsula. Taking into account real-time weather conditions, atmospheric effects, and propagating losses, we analyze the feasibility of deploying current use cases of satellite-based QKD. ...
To this end, we begin by exploring how current satellite links can be made more efficient, specifically, how to increase the amount of quantum information reaching the ground stations, avoiding the requirement of long coherent time in the quantum memories and without altering the satellite hardware. We propose the use of high-dimensional encoding, showing an improvement in the rate of entanglement compared with conventional qubit encoding.
From there, the discussion expands to a full quantum network architecture using several quantum repeaters place in space, with the aim of achieving secure liks across intercontinental distances. We propose a setup based on individually trapped atoms acting as both single-photon sources and quantum memories. Incorporating hardware imperfections and modeling transmission losses through free space and the atmosphere, we estimate the hardware performance required to achieve high-fidelity entanglement at a chosen transmission rate.
Finally, we go to a more specific example of distributing quantum key (QKD) to different cities of the Iberian Peninsula. Taking into account real-time weather conditions, atmospheric effects, and propagating losses, we analyze the feasibility of deploying current use cases of satellite-based QKD.
Quantum Internet: a step closer
Demonstrations and Applications using Diamond Qubits
In the hardware framework, the Nitrogen-Vacancy center in diamond represents a viable platform as processing end node, thanks to the high quality of its qubits and the capability of generating remote entanglement with other nodes in the network via its optical interface. These properties can be engineered to utilize the NV center as a test-bed for demonstrating crucial steps towards the Quantum Internet final goal.
We first employ a two-node NV quantum network in the laboratory to demonstrate the elementary building-blocks of distributed quantum computation: the generation of a distributed 4-partite Greenberger-Horne-Zeilinger state and the realization of a non-local Controlled-NOT gate between physically separated and non-interacting qubits.
In the long distance scenario, we use the NV center platform to study the photonic interface of solid-state qubits with time-bin qubits compatible with the emission from quantum memory platforms, such as Rubidium gas or Thulium-doped crystals. The interface is benchmarked with a quantum teleportation experiment. Quantum teleportation is the ultimate protocol that enables the transfer of quantum information from one physical point to another. We teleport a photonic time-bin qubit to the communication qubit of the NV center platform, establishing the primary form of communication between heterogeneous platforms in a quantum network.
Finally, the two-node NV network is used as reliable setup to demonstrate the first operating system for quantum network applications, QNodeOS. QNodeOS can schedule and manage quantum network applications in a multitasking fashion. It constitutes a software interface which enables facilitated access for users, boosting the research in quantum network applications and making a first step towards the deployment of such technology into society. ...
In the hardware framework, the Nitrogen-Vacancy center in diamond represents a viable platform as processing end node, thanks to the high quality of its qubits and the capability of generating remote entanglement with other nodes in the network via its optical interface. These properties can be engineered to utilize the NV center as a test-bed for demonstrating crucial steps towards the Quantum Internet final goal.
We first employ a two-node NV quantum network in the laboratory to demonstrate the elementary building-blocks of distributed quantum computation: the generation of a distributed 4-partite Greenberger-Horne-Zeilinger state and the realization of a non-local Controlled-NOT gate between physically separated and non-interacting qubits.
In the long distance scenario, we use the NV center platform to study the photonic interface of solid-state qubits with time-bin qubits compatible with the emission from quantum memory platforms, such as Rubidium gas or Thulium-doped crystals. The interface is benchmarked with a quantum teleportation experiment. Quantum teleportation is the ultimate protocol that enables the transfer of quantum information from one physical point to another. We teleport a photonic time-bin qubit to the communication qubit of the NV center platform, establishing the primary form of communication between heterogeneous platforms in a quantum network.
Finally, the two-node NV network is used as reliable setup to demonstrate the first operating system for quantum network applications, QNodeOS. QNodeOS can schedule and manage quantum network applications in a multitasking fashion. It constitutes a software interface which enables facilitated access for users, boosting the research in quantum network applications and making a first step towards the deployment of such technology into society.
We firstly analyse entanglement buffers, which are systems designed to generate and store high-quality entangled states to be consumed at any time. For this setting, we derive analytical expressions for two key performance metrics. The solutions are computationally efficient, make no restrictive assumptions about the entanglement purification protocol, and allow general insights: for example, that simple purification schemes can outperformmore complex ones previously considered “optimal” in different contexts.
Then,we turn to the problemof entanglement packet generation,where multiple entangled states of sufficient quality must be established simultaneously between network users. The fast generation of entanglement packets is an essential capability for many quantum network protocols. We obtain analytical results for the entanglement packet generation rate under a constant entanglement generation scheme and later extend the analysis to adaptive schemes, where entanglement parameters are tuned dynamically. Using parameter regimes motivated by current experiments, we show that adaptivity can enhance the entanglement packet generation rate by up to a factor of twenty.
Finally, we examine a standard assumption in performance analyses: that the initial states in a quantum repeater chain can be approximated by a symmetrised, or “twirled”, form. We investigate this assumption in the contexts of postselected and non-postselected entanglement swapping, where postselection is performed based on the Bell-state measurement outcomes at the repeaters. A central result is that, in many relevant cases, the twirled approximation is exact for non-postselected swapping. More generally, we provide a systematic framework to determine when the twirled approximation is valid for the initial states of a repeater chain.
...
We firstly analyse entanglement buffers, which are systems designed to generate and store high-quality entangled states to be consumed at any time. For this setting, we derive analytical expressions for two key performance metrics. The solutions are computationally efficient, make no restrictive assumptions about the entanglement purification protocol, and allow general insights: for example, that simple purification schemes can outperformmore complex ones previously considered “optimal” in different contexts.
Then,we turn to the problemof entanglement packet generation,where multiple entangled states of sufficient quality must be established simultaneously between network users. The fast generation of entanglement packets is an essential capability for many quantum network protocols. We obtain analytical results for the entanglement packet generation rate under a constant entanglement generation scheme and later extend the analysis to adaptive schemes, where entanglement parameters are tuned dynamically. Using parameter regimes motivated by current experiments, we show that adaptivity can enhance the entanglement packet generation rate by up to a factor of twenty.
Finally, we examine a standard assumption in performance analyses: that the initial states in a quantum repeater chain can be approximated by a symmetrised, or “twirled”, form. We investigate this assumption in the contexts of postselected and non-postselected entanglement swapping, where postselection is performed based on the Bell-state measurement outcomes at the repeaters. A central result is that, in many relevant cases, the twirled approximation is exact for non-postselected swapping. More generally, we provide a systematic framework to determine when the twirled approximation is valid for the initial states of a repeater chain.
The internet as it exists today evolved gradually from simpler, smaller-scale networks that originally supported few applications and were accessible to relatively few users. Scaling these classical networks required substantial innovation across many areas, including the development of control architectures that allow multiple users to simultaneously execute applications with diverse and competing requirements.
Quantum computers are an emerging technology that execute applications on a state space defined by quantum mechanical systems, rather than the binary digital state space of classical computers. They can be integrated into hybrid quantum-classical
computing nodes capable of supporting both quantum and classical applications. New classes of applications have been identified that require the classical network connecting such nodes to be supplemented by an additional communication layer operating over a quantum state space. A network of hybrid quantum-classical nodes augmented in this way is called a quantum network.
In this thesis, we address the problem of developing control architectures that enable multiple users to simultaneously execute quantum network applications. This is an urgent challenge because steady technological progress on hybrid quantum nodes is bringing testbed quantum networks within practical reach. As these testbeds are constructed, they will need to be operated and opened up to serve applications from multiple users concurrently.....
...
The internet as it exists today evolved gradually from simpler, smaller-scale networks that originally supported few applications and were accessible to relatively few users. Scaling these classical networks required substantial innovation across many areas, including the development of control architectures that allow multiple users to simultaneously execute applications with diverse and competing requirements.
Quantum computers are an emerging technology that execute applications on a state space defined by quantum mechanical systems, rather than the binary digital state space of classical computers. They can be integrated into hybrid quantum-classical
computing nodes capable of supporting both quantum and classical applications. New classes of applications have been identified that require the classical network connecting such nodes to be supplemented by an additional communication layer operating over a quantum state space. A network of hybrid quantum-classical nodes augmented in this way is called a quantum network.
In this thesis, we address the problem of developing control architectures that enable multiple users to simultaneously execute quantum network applications. This is an urgent challenge because steady technological progress on hybrid quantum nodes is bringing testbed quantum networks within practical reach. As these testbeds are constructed, they will need to be operated and opened up to serve applications from multiple users concurrently.....
In this work, we investigate the possibility of achieving two secure function evaluation primitives - oblivious transfer and bit commitment - in the measurement device independent setting, using imperfect single-photon sources. We already know that under this setting, bit commitment is possible to achieve but oblivious transfer seems hard to achieve. It is still an open question if there exist a protocol to achieve oblivious transfer under this setting. If not, it would be interesting to find new achievable primitives other than oblivious transfer. Here, we study the existing protocols and provide some results towards answering these questions. We start by extending an existing result on the difficulty of achieving oblivious transfer by proving that even a weaker version of this primitive is difficult to achieve under such setting. We also shortly explore the possibility of using an existing reduction from oblivious transfer to bit commitment to see whether we can achieve oblivious transfer from the existing bit commitment protocol. Finally, we show that an existing bit commitment protocol can perform at a better rate by giving a slightly modified security proof.
...
In this work, we investigate the possibility of achieving two secure function evaluation primitives - oblivious transfer and bit commitment - in the measurement device independent setting, using imperfect single-photon sources. We already know that under this setting, bit commitment is possible to achieve but oblivious transfer seems hard to achieve. It is still an open question if there exist a protocol to achieve oblivious transfer under this setting. If not, it would be interesting to find new achievable primitives other than oblivious transfer. Here, we study the existing protocols and provide some results towards answering these questions. We start by extending an existing result on the difficulty of achieving oblivious transfer by proving that even a weaker version of this primitive is difficult to achieve under such setting. We also shortly explore the possibility of using an existing reduction from oblivious transfer to bit commitment to see whether we can achieve oblivious transfer from the existing bit commitment protocol. Finally, we show that an existing bit commitment protocol can perform at a better rate by giving a slightly modified security proof.
Evaluating Multi-Metric Scheduler Performance in a Quantum Hub Network with NetSquid
A Method for Selecting a Scheduler in a Centralized Quantum Network
These metrics include measures of throughput, fairness, responsiveness, demand completion, and resource utilisation, among others. Varying network load conditions are simulated and two application-level use cases, quantum key distribution and blind quantum computing, are considered. The results offer detailed insight into how each scheduler performs under different demand patterns and operational contexts.
Based on these results, the earliest deadline first performs better in most metrics than the other schedulers within the context of this thesis. Additionally, the results indicate that classical optimality of a scheduler does not always translate to superior performance in quantum network scenarios. The findings presented and the framework described here can provide practical guidance for network operators seeking to balance multiple performance goals in near-term quantum networks. ...
These metrics include measures of throughput, fairness, responsiveness, demand completion, and resource utilisation, among others. Varying network load conditions are simulated and two application-level use cases, quantum key distribution and blind quantum computing, are considered. The results offer detailed insight into how each scheduler performs under different demand patterns and operational contexts.
Based on these results, the earliest deadline first performs better in most metrics than the other schedulers within the context of this thesis. Additionally, the results indicate that classical optimality of a scheduler does not always translate to superior performance in quantum network scenarios. The findings presented and the framework described here can provide practical guidance for network operators seeking to balance multiple performance goals in near-term quantum networks.
This thesis investigates the feasibility of MDI-RSC protocols using sources with multi-photon emissions, such as weak coherent pulses (WCP) and spontaneous parametric down-conversion (SPDC) sources. First, we correct a practical error in the existing MDI-RSC protocol by bounding the relevant parameters, ensuring the validity of the original security claims. Second, we analyse the achievable committed string rates while using WCP and SPDC sources. We further consider heralded SPDC sources, which in principle enable single-photon emission, and discuss the impact of imperfect local detectors on their performance and the consequences that has on the protocol implementation. Finally, motivated by techniques from Twin-Field Quantum Key Distribution (TF-QKD), we give a phase-encoded MDI-RSC protocol using coherent states and provide a sketch of the security proof in the bounded-storage model. We also investigate extending the approach to OT. However, this is still a challenge due to the basis-dependent information leakage inherent in phase-encoded coherent states. ...
This thesis investigates the feasibility of MDI-RSC protocols using sources with multi-photon emissions, such as weak coherent pulses (WCP) and spontaneous parametric down-conversion (SPDC) sources. First, we correct a practical error in the existing MDI-RSC protocol by bounding the relevant parameters, ensuring the validity of the original security claims. Second, we analyse the achievable committed string rates while using WCP and SPDC sources. We further consider heralded SPDC sources, which in principle enable single-photon emission, and discuss the impact of imperfect local detectors on their performance and the consequences that has on the protocol implementation. Finally, motivated by techniques from Twin-Field Quantum Key Distribution (TF-QKD), we give a phase-encoded MDI-RSC protocol using coherent states and provide a sketch of the security proof in the bounded-storage model. We also investigate extending the approach to OT. However, this is still a challenge due to the basis-dependent information leakage inherent in phase-encoded coherent states.
Quantum Communication Complexity on Near-Term Networks
Solving the Equality Problem with Realistic Noise
This dissertation presents the building blocks and the experimental realization of an open, fiber-based, cryogenic Fabry-Pérot microcavity enabling the Purcell enhancement of diamond NV and SnV centers, incorporated into the microcavity via a diamond membrane. The background on color centers in the context of quantum networking (Chapter 2) and optical cavities for diamond color centers is summarized (Chapter 3). A novel laser-cutting patterning method is introduced, which can be used to fabricate micrometer-thin diamond devices with arbitrary lateral shapes in the range of tens to hundreds of micrometers (Chapter 4). Microdevices fabricated by this method are characterized by scanning cavity microscopy, revealing a high cavity finesse. Furthermore, SnV and NV centers in the microdevices maintain bulk-like optical properties, which are required for quantum networking. Next to the sample fabrication, the detailed design, construction, and operation of a cryogenic microcavity system is presented, reaching a reproducible cavity length stability level of around 25 picometer with a sample temperature of about 8 kelvin on the cavity mirror (Chapter 5), a prerequisite for the following cavity experiments. Two cavity quantum optics experiments are conducted, exploring the regimes of coherent cavity coupling and efficient photon extraction with the cavity. In the first experiment, a single SnV center is coupled to the cavity, achieving a coherent cooperativity of 0.7. This enables the observation of nonlinear quantum effects, such as the modulation of the cavity resonance by an individual SnV center and the altered photon statistics of light transmitted through the cavity (Chapter 6). In the second experiment, a single NV center is coupled to the cavity, and the Purcell enhancement combined with a high cavity outcoupling leads to a resonant photon extraction (end-to-end) efficiency of 0.5 %. The NV center’s electron spin qubit initialization, manipulation with an on-chip microwave stripline, and readout are utilized to generate spin-photon correlated states, a precondition for remote entanglement with a second color center (Chapter 7).
The presented platform combines an efficient optical interface with microwave control of the spin state and can be used for the exploration of optically active defects in solid states, as a bright source of single photons, and for cavity-enhanced quantum networking. ...
This dissertation presents the building blocks and the experimental realization of an open, fiber-based, cryogenic Fabry-Pérot microcavity enabling the Purcell enhancement of diamond NV and SnV centers, incorporated into the microcavity via a diamond membrane. The background on color centers in the context of quantum networking (Chapter 2) and optical cavities for diamond color centers is summarized (Chapter 3). A novel laser-cutting patterning method is introduced, which can be used to fabricate micrometer-thin diamond devices with arbitrary lateral shapes in the range of tens to hundreds of micrometers (Chapter 4). Microdevices fabricated by this method are characterized by scanning cavity microscopy, revealing a high cavity finesse. Furthermore, SnV and NV centers in the microdevices maintain bulk-like optical properties, which are required for quantum networking. Next to the sample fabrication, the detailed design, construction, and operation of a cryogenic microcavity system is presented, reaching a reproducible cavity length stability level of around 25 picometer with a sample temperature of about 8 kelvin on the cavity mirror (Chapter 5), a prerequisite for the following cavity experiments. Two cavity quantum optics experiments are conducted, exploring the regimes of coherent cavity coupling and efficient photon extraction with the cavity. In the first experiment, a single SnV center is coupled to the cavity, achieving a coherent cooperativity of 0.7. This enables the observation of nonlinear quantum effects, such as the modulation of the cavity resonance by an individual SnV center and the altered photon statistics of light transmitted through the cavity (Chapter 6). In the second experiment, a single NV center is coupled to the cavity, and the Purcell enhancement combined with a high cavity outcoupling leads to a resonant photon extraction (end-to-end) efficiency of 0.5 %. The NV center’s electron spin qubit initialization, manipulation with an on-chip microwave stripline, and readout are utilized to generate spin-photon correlated states, a precondition for remote entanglement with a second color center (Chapter 7).
The presented platform combines an efficient optical interface with microwave control of the spin state and can be used for the exploration of optically active defects in solid states, as a bright source of single photons, and for cavity-enhanced quantum networking.
Sharing entanglement efficiently
Protocols and architectures for quantum networks
First, we focus on on-demand entanglement distribution, in which the entanglement distribution process is initiated only after some users request it. We find optimal protocols that minimize the waiting time for distributing entanglement among two users that are connected by a chain of two-way quantum repeaters. The performance of these protocols sets a benchmark for on-demand distribution of quantum states. We also study a multi-user network of one-way quantum repeaters, and we conclude that finite waiting times are only achievable when the users are at most a few kilometers apart from each other, irrespective of the number of repeaters available.
Next, we examine protocols for continuous entanglement distribution, in which the distribution process is initiated before any user requests. While these protocols can sometimes lead to resource wastage – as noise in memory renders the entanglement
unusable if distributed too early –, they offer the potential to reduce expected waiting times compared to on-demand methods. Surprisingly, we find that, when the time required to distribute entanglement follows a broad probability distribution, initiating the process preemptively can actually result in longer expected waiting times compared to an on-demand approach.
Lastly, we propose an architecture for buffering high-quality entanglement, ensuring it is readily available for use when needed. A key feature of this system is the use of purification subroutines to prevent the buffered entanglement from degrading over time due to quantum decoherence. Among other findings, we show that maximizing entanglement quality upon consumption requires frequent purification, even if this process often fails and results in the loss of high-quality buffered entanglement. The results presented in this dissertation were obtained mostly analytically, leveraging tools from performance analysis, including queueing theory and renewal theory, and supported by extensive discrete-event simulations. Our theoretical insights provide benchmarks and identify fundamental limitations of quantum networks, offering valuable guidance for the design of reliable entanglement distribution systems. ...
First, we focus on on-demand entanglement distribution, in which the entanglement distribution process is initiated only after some users request it. We find optimal protocols that minimize the waiting time for distributing entanglement among two users that are connected by a chain of two-way quantum repeaters. The performance of these protocols sets a benchmark for on-demand distribution of quantum states. We also study a multi-user network of one-way quantum repeaters, and we conclude that finite waiting times are only achievable when the users are at most a few kilometers apart from each other, irrespective of the number of repeaters available.
Next, we examine protocols for continuous entanglement distribution, in which the distribution process is initiated before any user requests. While these protocols can sometimes lead to resource wastage – as noise in memory renders the entanglement
unusable if distributed too early –, they offer the potential to reduce expected waiting times compared to on-demand methods. Surprisingly, we find that, when the time required to distribute entanglement follows a broad probability distribution, initiating the process preemptively can actually result in longer expected waiting times compared to an on-demand approach.
Lastly, we propose an architecture for buffering high-quality entanglement, ensuring it is readily available for use when needed. A key feature of this system is the use of purification subroutines to prevent the buffered entanglement from degrading over time due to quantum decoherence. Among other findings, we show that maximizing entanglement quality upon consumption requires frequent purification, even if this process often fails and results in the loss of high-quality buffered entanglement. The results presented in this dissertation were obtained mostly analytically, leveraging tools from performance analysis, including queueing theory and renewal theory, and supported by extensive discrete-event simulations. Our theoretical insights provide benchmarks and identify fundamental limitations of quantum networks, offering valuable guidance for the design of reliable entanglement distribution systems.
Metropolitan-scale quantum networks with diamond qubits
Applied quantum networks for business & society
- The detector efficiency, defined as the probability the photon detector correctly registers an incident photon.
-The detector dark count probability, defined as the probability that a detector registers a false detection event.
- The memory efficiency, defined as the maximum probability that an excitation is not lost in the quantum memory.
- The memory coherence time, defined as the characteristic time after which an excitation is lost in the quantum memory.
- The Hong-Ou-Mandel visibilty, which is a measure of the indistinguishability of the photons in the setup.
Additionally, the setup has the ability to be multiplexed. This means that the probabilistic processes essential for executing the repeater protocol are initiated $M$ times in parallel. This increases the performance of the protocol.
To achieve the optimisation, we introduce absolute minimal hardware requirements and minimal hardware requirements. An absolute minimal hardware requirement is defined as the least favourable hardware parameter that still allows the setup to reach a given target metric. This implies that all other hardware parameters are at their optimal value. Minimal hardware requirements are defined as the least favourable set of hardware parameters that still allow the setup to reach a given target metric.
To evaluate the aforementioned target metric we conduct a numerical analysis. This analysis is based on the entanglement based version of quantum key distribution. We use Netsquid, a discrete event simulator for quantum networks, to carry out the numerical analysis. Utilising this, we formulate an optimisation problem that allows us to find absolute minimal hardware requirements and minimal hardware requirements for an atomic-ensemble-based single repeater setup.
We develop a method to solve this optimisation problem. This allows us to find absolute minimal hardware requirements and minimal hardware requirements for the hardware parameters listed above. We do this for different number of multiplexing modes, and different node placements on the existing fiber network. We consider both perfect photon pair sources and a model of a photon pair source based on Spontaneous Parametric Down Conversion (SPDC). ...
- The detector efficiency, defined as the probability the photon detector correctly registers an incident photon.
-The detector dark count probability, defined as the probability that a detector registers a false detection event.
- The memory efficiency, defined as the maximum probability that an excitation is not lost in the quantum memory.
- The memory coherence time, defined as the characteristic time after which an excitation is lost in the quantum memory.
- The Hong-Ou-Mandel visibilty, which is a measure of the indistinguishability of the photons in the setup.
Additionally, the setup has the ability to be multiplexed. This means that the probabilistic processes essential for executing the repeater protocol are initiated $M$ times in parallel. This increases the performance of the protocol.
To achieve the optimisation, we introduce absolute minimal hardware requirements and minimal hardware requirements. An absolute minimal hardware requirement is defined as the least favourable hardware parameter that still allows the setup to reach a given target metric. This implies that all other hardware parameters are at their optimal value. Minimal hardware requirements are defined as the least favourable set of hardware parameters that still allow the setup to reach a given target metric.
To evaluate the aforementioned target metric we conduct a numerical analysis. This analysis is based on the entanglement based version of quantum key distribution. We use Netsquid, a discrete event simulator for quantum networks, to carry out the numerical analysis. Utilising this, we formulate an optimisation problem that allows us to find absolute minimal hardware requirements and minimal hardware requirements for an atomic-ensemble-based single repeater setup.
We develop a method to solve this optimisation problem. This allows us to find absolute minimal hardware requirements and minimal hardware requirements for the hardware parameters listed above. We do this for different number of multiplexing modes, and different node placements on the existing fiber network. We consider both perfect photon pair sources and a model of a photon pair source based on Spontaneous Parametric Down Conversion (SPDC).
Performing error-detection measurements in distributed error-correction codes requires the generation and consumption of entangled states. We focus on systems that are capable of generating remote two-qubit entanglement between pairs of connected nodes—i.e., Bell pairs. Entangled states of higher weight—the so-called Greenberger-Horne-Zeilinger (GHZ) states—can be generated by fusing Bell pairs. On top of this, the quality of the generated entangled states can be increased with entanglement distillation. We implement dynamic programming to generate high-quality GHZ states by fusing and distilling Bell pairs.
The dynamic program allows us to optimize the quality of error-detection measurements for a specific distributed error-correction code: the (toric) surface code. We numerically evaluate the performance of this code with noise models based on experimental characterization of diamond color center hardware, including the typical behavior of memory decoherence in these devices. This leads to the identification of a threshold in the ratio between entanglement generation and the decoherence rates.
For a two-dimensional error-correction code like the surface code, performing error-detection over multiple time steps can be reinterpreted as measuring the qubits of a three-dimensional cluster state. This equivalence enables considering more general three-dimensional cluster states as fault-tolerant channels that transform the logical qubits of the underlying error-correction code. We use this idea to investigate distributed logical memory channels for general types of circuit-level and entanglement noise.
Our results show that efficient generation of high-quality entanglement and strategic design of error-correction channels are important aspects for developing noise-resilient distributed quantum computers. ...
Performing error-detection measurements in distributed error-correction codes requires the generation and consumption of entangled states. We focus on systems that are capable of generating remote two-qubit entanglement between pairs of connected nodes—i.e., Bell pairs. Entangled states of higher weight—the so-called Greenberger-Horne-Zeilinger (GHZ) states—can be generated by fusing Bell pairs. On top of this, the quality of the generated entangled states can be increased with entanglement distillation. We implement dynamic programming to generate high-quality GHZ states by fusing and distilling Bell pairs.
The dynamic program allows us to optimize the quality of error-detection measurements for a specific distributed error-correction code: the (toric) surface code. We numerically evaluate the performance of this code with noise models based on experimental characterization of diamond color center hardware, including the typical behavior of memory decoherence in these devices. This leads to the identification of a threshold in the ratio between entanglement generation and the decoherence rates.
For a two-dimensional error-correction code like the surface code, performing error-detection over multiple time steps can be reinterpreted as measuring the qubits of a three-dimensional cluster state. This equivalence enables considering more general three-dimensional cluster states as fault-tolerant channels that transform the logical qubits of the underlying error-correction code. We use this idea to investigate distributed logical memory channels for general types of circuit-level and entanglement noise.
Our results show that efficient generation of high-quality entanglement and strategic design of error-correction channels are important aspects for developing noise-resilient distributed quantum computers.
A test suite for quantum network applications
Quantifying an application's ability to benchmark a quantum network
This paper examines the viability of using a specific quantum network application as a benchmark for quantum network systems. In order to quantify the application's ability to benchmark, we assess its sensitivity to changes in the properties of the system. These properties include link parameters, quantum gate properties, qubit coherence times, and measurement properties.
We use the BB84 protocol as the benchmarking application for this project, which is a Quantum Key Distribution scheme used to establish secure keys between two parties. In particular, we use the qubit error rate and the key generation rate as the performance metrics for the application. For the setup of the experiments, we prepare two system configurations: generic quantum device nodes with a depolarising error channel, and NV device nodes with a heralded link. In order to assess how the application behaves with changes to different system properties, we observe how the performance metrics change while individually varying system parameters and keeping all other parameters constant.
We find that the application is sensitive to changes in multiple parameters across both network configurations, such as link parameters, single qubit gate properties, and measurement properties. Contrarily, the application is not affected by changes to parameters such as two qubit gate properties and coherence times. We conclude that the BB84 protocol can be used as an individual localised test for the parameters it is sensitive to, and also in combination with other applications, in a more comprehensive benchmarking suite, that provide coverage for a broader range of parameters. ...
This paper examines the viability of using a specific quantum network application as a benchmark for quantum network systems. In order to quantify the application's ability to benchmark, we assess its sensitivity to changes in the properties of the system. These properties include link parameters, quantum gate properties, qubit coherence times, and measurement properties.
We use the BB84 protocol as the benchmarking application for this project, which is a Quantum Key Distribution scheme used to establish secure keys between two parties. In particular, we use the qubit error rate and the key generation rate as the performance metrics for the application. For the setup of the experiments, we prepare two system configurations: generic quantum device nodes with a depolarising error channel, and NV device nodes with a heralded link. In order to assess how the application behaves with changes to different system properties, we observe how the performance metrics change while individually varying system parameters and keeping all other parameters constant.
We find that the application is sensitive to changes in multiple parameters across both network configurations, such as link parameters, single qubit gate properties, and measurement properties. Contrarily, the application is not affected by changes to parameters such as two qubit gate properties and coherence times. We conclude that the BB84 protocol can be used as an individual localised test for the parameters it is sensitive to, and also in combination with other applications, in a more comprehensive benchmarking suite, that provide coverage for a broader range of parameters.
Laying the foundation for building a Quantum Networking Benchmark suite using Quantum Network Applications
Evaluating the inclusion of the Clauser-Horne-Shimony-Holt game quantum network application