Note on quantum discord

IF 4.4 2区物理与天体物理 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Results in Physics Pub Date : 2024-08-05 DOI:10.1016/j.rinp.2024.107905

引用次数: 0

Abstract

Quantum discord goes beyond entanglement and exists in a wide range of quantum states that may be separable, playing a crucial role in quantum information tasks. In this paper, we firstly proposed a zero-discord criterion for two-qubit system based on the partial transposition of density matrix, and then extended it to the qubit–qudit system. By detailed examples we demonstrate the effectiveness of these criteria in detecting discord. Moreover, we provide an analytical lower bound of geometric quantum discord(GQD) using eigenvalue vectors of density matrix. Finally, we presented a one-way work deficit lower bound based on our lower bound of GQD.

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关于量子不和谐的说明

量子不和谐超越了纠缠，存在于多种可分离的量子态中，在量子信息任务中发挥着至关重要的作用。本文首先提出了基于密度矩阵部分转置的双量子比特系统零不和谐判据，然后将其扩展到量子比特-量子比特系统。通过详细的例子，我们证明了这些准则在检测不和谐方面的有效性。此外，我们还利用密度矩阵的特征值向量提供了几何量子不和谐（GQD）的解析下限。最后，我们在 GQD 下限的基础上提出了单向功亏损下限。

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

Results in Physics MATERIALS SCIENCE, MULTIDISCIPLINARYPHYSIC-PHYSICS, MULTIDISCIPLINARY

CiteScore

8.70

自引率

9.40%

发文量

754

审稿时长

50 days

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