On the Nonclassicality Distance Indicator of Qudits

IF 0.6 4区物理与天体物理 Q4 PHYSICS, PARTICLES & FIELDS

Physics of Particles and Nuclei Pub Date : 2024-06-06 DOI:10.1134/s1063779624030493

A. Khvedelidze, A. Torosyan

引用次数: 0

Abstract

We consider the nonclassicality distance indicator of a state in finite-dimensional quantum systems which is evaluating a state nonclassicality by its remoteness from the set of “classical states”. The latter are identified with those states whose Wigner function is non-negative. The corresponding Wigner function’s positivity polytope in the simplex of qudit eigenvalues is introduced and the representation for the nonclassicality distance indicator as a piecewise function is derived. The results are exemplified by the qutrit case.

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论 Qudits 的非经典性距离指标

摘要我们考虑了有限维量子系统中状态的非经典性距离指标，该指标通过状态与 "经典状态 "集合的距离来评估状态的非经典性。后者指的是维格纳函数为非负的状态。介绍了相应的 Wigner 函数在 qudit 特征值单纯形中的正多边形，并得出了非经典性距离指标作为片断函数的表示形式。结果以 qutrit 为例证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Physics of Particles and Nuclei 物理-物理：粒子与场物理

CiteScore

1.00

自引率

0.00%

发文量

116

审稿时长

6-12 weeks

期刊介绍： The journal Fizika Elementarnykh Chastits i Atomnogo Yadr of the Joint Institute for Nuclear Research (JINR, Dubna) was founded by Academician N.N. Bogolyubov in August 1969. The Editors-in-chief of the journal were Academician N.N. Bogolyubov (1970–1992) and Academician A.M. Baldin (1992–2001). Its English translation, Physics of Particles and Nuclei, appears simultaneously with the original Russian-language edition. Published by leading physicists from the JINR member states, as well as by scientists from other countries, review articles in this journal examine problems of elementary particle physics, nuclear physics, condensed matter physics, experimental data processing, accelerators and related instrumentation ecology and radiology.