Tight Bounds from Multiple-Observable Entropic Uncertainty Relations

IF 2.2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Alberto Riccardi, Giovanni Chesi, Chiara Macchiavello, Lorenzo Maccone
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引用次数: 0

Abstract

The additivity properties for both bipartite and multipartite systems are investigated by using entropic uncertainty relations (EUR) defined in terms of the joint Shannon entropy of probabilities of local measurement outcomes. In particular, state-independent and state-dependent entropic inequalities are introduced. Interestingly, the violation of these inequalities is strictly connected with the presence of quantum correlations. It is shown that the additivity of EUR holds only for EUR that involve two observables, while this is not the case for inequalities that consider more than two observables or the addition of the von Neumann entropy of a subsystem. They are applied to bipartite systems and to several classes of states of a three-qubit system.

Abstract Image

从多重可观测的熵不确定性关系中得出严格界限
通过使用根据局部测量结果概率的联合香农熵定义的熵不确定性关系 (EUR),研究了双分系统和多分系统的可加性特性。特别是引入了与状态无关的熵不等式和与状态有关的熵不等式。有趣的是,这些不等式的违反与量子相关性的存在密切相关。研究表明,EUR 的可加性只对涉及两个观测变量的 EUR 成立,而对考虑两个以上观测变量或子系统的冯-诺依曼熵增加的不等式则不成立。它们被应用于二元系统和三量子比特系统的几类状态。
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来源期刊
Annalen der Physik
Annalen der Physik 物理-物理:综合
CiteScore
4.50
自引率
8.30%
发文量
202
审稿时长
3 months
期刊介绍: Annalen der Physik (AdP) is one of the world''s most renowned physics journals with an over 225 years'' tradition of excellence. Based on the fame of seminal papers by Einstein, Planck and many others, the journal is now tuned towards today''s most exciting findings including the annual Nobel Lectures. AdP comprises all areas of physics, with particular emphasis on important, significant and highly relevant results. Topics range from fundamental research to forefront applications including dynamic and interdisciplinary fields. The journal covers theory, simulation and experiment, e.g., but not exclusively, in condensed matter, quantum physics, photonics, materials physics, high energy, gravitation and astrophysics. It welcomes Rapid Research Letters, Original Papers, Review and Feature Articles.
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