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Poisson Quantum Information

delete2021-08-19
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OA
AI
M
Mankei Tsang *
DOI:10.22331/q-2021-08-19-527delete
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摘要

摘要

En 中文
By taking a Poisson limit for a sequence of rare quantum objects, I derive simple formulas for the Uhlmann fidelity, the quantum Chernoff quantity, the relative entropy, and the Helstrom information. I also present analogous formulas in classical information theory for a Poisson model. An operator called the intensity operator emerges as the central quantity in the formalism to describe Poisson states. It behaves like a density operator but is unnormalized. The formulas in terms of the intensity operators not only resemble the general formulas in terms of the density operators, but also coincide with some existing definitions of divergences between unnormalized positivese-midefinite matrices. Furthermore, I show that the effects of certain channels on Poisson states can be described by simple maps for the intensity operators.
Keyword:
RAYLEIGHS CURSE
COHERENCE
RESURGENCE

期刊

Quantum 封面图
Quantum
IF:
5.4
论文数:
951
被引数:
1.0W

机构

N
National University of Singapore
学者数:
7.5W
论文数: 6.5W
被引数: 11.4W
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