Improved entropic uncertainty relations and information exclusion relations

Improved entropic uncertainty relations and information exclusion relations
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DOI:
10.1103/physreva.89.022112
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发表时间:
2014-02-18
期刊:
影响因子:
2.9
通讯作者:
Piani, Marco
Piani, Marco
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Coles, Patrick J.;Piani, Marco

文献摘要

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测不准原理可以用熵表示,也考虑到纠缠在减少测不准中的作用。相反,信息排除原则限制了在一个物理系统和第二个参考系统上不兼容测量的结果之间存在的相关性。我们给出了测不准原理和信息互斥原理的更严格的表述,并直接应用于量子密钥分配的安全性分析、纠缠估计和量子通信。我们还强调了可观测数据在不确定性和信息方面的互补性之间的根本区别。
The uncertainty principle can be expressed in entropic terms, also taking into account the role of entanglement in reducing uncertainty. The information exclusion principle bounds instead the correlations that can exist between the outcomes of incompatible measurements on one physical system, and a second reference system. We provide a more stringent formulation of both the uncertainty principle and the information exclusion principle, with direct applications for, e.g., the security analysis of quantum key distribution, entanglement estimation, and quantum communication. We also highlight a fundamental distinction between the complementarity of observables in terms of uncertainty and in terms of information.