Quantum mutual entropy in terms of local quantum Bernoulli noises

DOI10.1080/03610926.2021.1916532OpenAlexW3157123891MaRDI QIDQ5875240

Yaxin Kou, Ya'Nan Han, Qi Han, Ziqiang Lu

Publication date: 3 February 2023

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2021.1916532

zbMATH Keywords

creation operatorannihilation operatorquantum Bernoulli noiseslocal quantum entropylocal quantum mutual entropy

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) White noise theory (60H40)

Cites Work

• Unnamed Item
• An alternative approach to Privault's discrete-time chaotic calculus
• Stochastic analysis of Bernoulli processes
• Quantum ergodic channels in operator algebras
• Quantum probability for probabilists
• Dirichlet forms constructed from annihilation operators on Bernoulli functionals
• The Theory of Quantum Information
• Quantum entropy in terms of local quantum Bernoulli noises and related properties
• Discrete-time quantum Bernoulli noises
• Localization of quantum Bernoulli noises

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