Search Results for author: Simeng Wang

Found 4 papers, 0 papers with code

Cutoff profiles for quantum Lévy processes and quantum random transpositions

no code implementations7 Oct 2020 Amaury Freslon, Lucas Teyssier, Simeng Wang

We consider a natural analogue of Brownian motion on free orthogonal quantum groups and prove that it exhibits a cutoff at time $N\ln(N)$.

Probability Operator Algebras Quantum Algebra 46L53, 60G10, 20G42

Ke Li's lemma for quantum hypothesis testing in general von Neumann algebras

no code implementations5 Oct 2020 Yan Pautrat, Simeng Wang

A lemma stated by Ke Li in [arXiv:1208. 1400] has been used in e. g. [arXiv:1510. 04682, arXiv:1706. 04590, arXiv:1612. 01464, arXiv:1308. 6503, arXiv:1602. 08898] for various tasks in quantum hypothesis testing, data compression with quantum side information or quantum key distribution.

Mathematical Physics Mathematical Physics Operator Algebras Statistics Theory Quantum Physics Statistics Theory

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