Review and perspectives in quantum computing for partial differential equations in structural mechanics

Structural mechanics is commonly modeled by (systems of) partial differential equations (PDEs). Except for very simple cases where analytical solutions exist, the use of numerical methods is required to find approximate solutions. However, for many problems of practical interest, the computational cost of classical numerical solvers running on...

CMOS circuits and systems for cryogenic control of silicon quantum processors

Quantum computers can provide exponential speedup in solving certain computational problems pertaining to drug discovery, cybersecurity, weather forecasting, etc. Although a quantum computer with just 50-qubits has been shown to surpass the computing power of the best supercomputers in specific applications, millions of qubits would be required...

Visualization tools: for the OpenQL compiler

The rapid progress quantum devices have made in recent years has led to the need for systems that bridge the gap between quantum algorithms and quantum hardware. To this purpose different full-stack quantum programming platforms have been developed, providing high level languages for expressing quantum algorithms and providing compilers for...

QiBAM: Approximate Sub-String Index Search on Quantum Accelerators Applied to DNA Read Alignment

With small-scale quantum processors transitioning from experimental physics labs to industrial products, these processors in a few years are expected to scale up and be more robust for efficiently computing important algorithms in various fields. In this paper, we propose a quantum algorithm to address the challenging field of data processing...

Practical Implementation of a Quantum Algorithm for the Solution of Systems of Linear Systems of Equations

With the rapid development of Quantum Computers (QC) and QC Simulators, there will be an increased demand for functioning Quantum Algorithms in the near future. Some of the most ubiquitously useful algorithms are solvers for linear systems of equations. Since the conception of the Quantum Linear Solver Algorithm (QLSA) by Harrow, Hassidim and...

Designing a Quantum Algorithm for Real-Valued Addition Using Posit Arithmetic

Currently there are no efficient quantum algorithms for the addition of real-valued numbers. In classical computers addition is performed by using barrel shifters, a concept proven to be very inefficient as a quantum circuit due to its many garbage outputs when the barrel shifter is made reversible. This thesis aims to design a quantum algorithm...

Quantum gradient estimation and its application to quantum reinforcement learning

In 2005, Jordan showed how to estimate the gradient of a real-valued function with a high-dimensional domain on a quantum computer. Subsequently, in 2017, it was shown by Gilyén et al. how to do this with a different input model. They also proved optimality of their algorithm for \ell^\infty -approximations of functions satisfying some...

Implementation and Analysis of an Algorithm on Positive Integer Addition for Quantum Computing

In this project, an positive integer addition algorithm for quantum computing is analyzed which does not makes use of carry bits. The paper shows a general parallelization method. Using this method, the circuit runs in O(n) time instead of O(n^2). The algorithm is executed with different input sizes and error rates such that usable values are...

Quantum Algorithms and their Implementation on Quantum Computer Simulators

Quantum computation is becoming an increasingly interesting field, especially with the rise of real quantum computers. However, current quantum processors contain a few tens of error-prone qubits and the realization of large-scale quantum computers is still very challenging. Therefore, quantum computer simulators are particularly suitable for...