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Quantum mutual entropy in terms of local quantum Bernoulli noises

Qi Han, Yanan Han, Yaxin Kou, Ziqiang Lu

2021Communication in Statistics- Theory and Methods13 citationsDOI

Abstract

Localization of quantum Bernoulli noises(LQBNs) are the family of local annihilation and local creation operator acting on Bernoulli functionals. In this paper, we give the local quantum mutual entropy I(ρk;Λ*) based on the local quantum entropy S(ρk). Furthermore, we demonstrate that this quantum mutual entropy I(ρk;Λ*) also has the basic properties.

Topics & Concepts

Bernoulli's principleQuantumQuantum discordBernoulli schemeEntropy (arrow of time)Statistical physicsPhysicsQuantum relative entropyQuantum mechanicsMathematicsOpen quantum systemThermodynamicsAdvanced Thermodynamics and Statistical MechanicsQuantum Information and CryptographyQuantum Mechanics and Applications