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Reimann, Jesse (author)It was first shown by D. Potapov and F. Sukochev in 2009 that Lipschitz functions are also operatorLipschitz on Schatten class operators S<sup>p</sup>, 1<p<∞, which is related to a conjecture by M. Krein. Their proof combined Schur multiplication, a generalisation of componentwise matrix multiplication, with the socalled first order...master thesis 2024
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van Poelgeest, Sam (author)In the field of quantum information theory, it is wellknown that the purely quantum phenomenon called quantum entanglement can boost the capacity of a quantum channel, which is called the superadditivity of the capacity. Shor showed in his breakthrough paper on the equivalence of additivity conjectures that this superadditivity is equivalent to...master thesis 2022
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Kitsios, Christos (author)In this thesis, we use a variation of a commutator technique to prove that l^pstability is independent of p, for p greater than or equal to one, and for convolutiondominated matrices indexed by relatively separated sets in groups of polynomial growth. Moreover, from the inverseclosedness of the Schur matrices we deduce a Wiener type Lemma for...master thesis 2022
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de Bos, Hidde (author)Quantum Markov Semigroups (QMS) describe the evolution of a quantum system by evolving a projection or density operator in time. QMS are generated by a generator obeying the wellknown Lindblad equation. However, this is a difficult equation. Therefore, the result that the Lindblad form greatly simplifies in the case of the...bachelor thesis 2021
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 van Benthem, Siem (author) bachelor thesis 2021
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Li, Vincent (author)In this thesis we present a study of quantum Markov semigroups. In particular, we mainly consider quantum Markov semigroups with detailed balance that are defined on finitedimensional C*algebras. They have an invariant density matrix ρ. Carlen and Maas showed that the evolution on the set of invertible density matrices that is given by such a...master thesis 2021
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Borst, Matthijs (author)In this thesis we will for a quantum Markov semigroup (Φt)t≥0 on a finite von Neumann algebra N with a trace τ , investigate the property of the semigroup being gradientSp for some p ∈ [1, ∞]. This property was introduced in [12] (see also [9]) and has been studied in [9, 10, 12] for quantum Markov semigroups on compact...master thesis 2021
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Veldhuizen, Daniël (author)Quantum computers promise an exponential speedup over their classical counterparts for certain tasks relevant to various fields including science, technology, and finance. To unlock this potential, the technology must be scaled up and the errors at play must be reduced. As developments in scalable quantum computation devices advance, the demand...bachelor thesis 2021
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Janssen, Luc (author)In 2017 Martijn Caspers, Fedor Sukochev and Dmitriy Zanin published a paper which generalises the proof of Davies' 1988 paper, and thus resolves the NazarovPeller conjecture. The proofs of these papers have been presented in this thesis. They have been expanded with a proof that generalises the conjecture to arbitrary Schatten classes. The...master thesis 2021
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Wildschut, Guillermo (author)In 2011 Avsec showed strong solidity of the qGaussian algebras, building upon previous results of Houdayer and Shlyakhtenko, and Ozawa and Popa. In this work we study this result as well as the necessary literature and qmathematics needed to replicate the proof. The literature is combined within this thesis, whilst additionally filling in gaps...master thesis 2020
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Veerkamp, K. (author)Bell inequalities are certain probabilistic inequalities that should hold in the context of quantum measurement under assumption of a local hidden variable model. These inequalities can be violated according to the theory of quantum mechanics and have also been violated experimentally. Bell inequalities were therefore historically used to...bachelor thesis 2020