A Classical Bound on Quantum Entropy

Cosmas K Zachos

doi:10.1088/1751-8113/40/21/F02

A Classical Bound on Quantum Entropy

高能物理 - 理论 2008-11-26 v6 广义相对论与量子宇宙学计算物理量子物理

作者: Cosmas K Zachos

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摘要

A classical upper bound for quantum entropy is identified and illustrated, $0\leq S_q \leq \ln (e \sigma^2 / 2\hbar)$ , involving the variance $\sigma^2$ in phase space of the classical limit distribution of a given system. A fortiori, this further bounds the corresponding information-theoretical generalizations of the quantum entropy proposed by Renyi.

关键词

quantum entropy quantum classical transition quantum state discrimination

引用

@article{arxiv.hep-th/0609148,
  title  = {A Classical Bound on Quantum Entropy},
  author = {Cosmas K Zachos},
  journal= {arXiv preprint arXiv:hep-th/0609148},
  year   = {2008}
}

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Latex2e, 7 pages, publication version

A Classical Bound on Quantum Entropy

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