Analytic formulas for quantum discord of special families of N-qubit states

IF 2.2 3区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Quantum Information Processing Pub Date : 2025-01-06 DOI:10.1007/s11128-024-04625-1

Jianming Zhou, Xiaoli Hu, Honglian Zhang, Naihuan Jing

引用次数: 0

Abstract

Quantum discord, a key indicator of nonclassical correlations in bipartite systems, has been recently extended to multipartite scenarios [Phys. Rev. Lett. 2020, 124:110401]. We present exact analytic formulas for the quantum discord of special families of N-qubit states, including generalized class of GHZ states. Our formulations span 2, 3, 4n, \(4n+1\), \(4n+2\), and \(4n+3\)-qubit configurations where \(n\in 1, 2, \ldots \), which refine the assessment of quantum correlations and provide an analytical tool in quantum computation. Moreover, we uncover a “discord freezing” in even-qubit systems under phase flip decoherence which provides a means for preserving quantum coherence in environmental perturbations.

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n -量子位态特殊族的量子不谐解析公式

量子不和谐是二部系统中非经典相关性的关键指标，最近已扩展到多部场景[物理学]。[j].中国农业科学，2002,24(4):391 - 391。我们给出了n -量子比特态的特殊族，包括广义类GHZ态的量子不谐的精确解析公式。我们的公式涵盖2,3,4n, \(4n+1\), \(4n+2\)和\(4n+3\) -量子比特配置，其中\(n\in 1, 2, \ldots \)改进了量子相关性的评估，并提供了量子计算中的分析工具。此外，我们发现了相位翻转退相干下的偶量子比特系统中的“不和谐冻结”，这为在环境扰动中保持量子相干性提供了一种手段。

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

Quantum Information Processing 物理-物理：数学物理

CiteScore

4.10

自引率

20.00%

发文量

337

审稿时长

4.5 months

期刊介绍： Quantum Information Processing is a high-impact, international journal publishing cutting-edge experimental and theoretical research in all areas of Quantum Information Science. Topics of interest include quantum cryptography and communications, entanglement and discord, quantum algorithms, quantum error correction and fault tolerance, quantum computer science, quantum imaging and sensing, and experimental platforms for quantum information. Quantum Information Processing supports and inspires research by providing a comprehensive peer review process, and broadcasting high quality results in a range of formats. These include original papers, letters, broadly focused perspectives, comprehensive review articles, book reviews, and special topical issues. The journal is particularly interested in papers detailing and demonstrating quantum information protocols for cryptography, communications, computation, and sensing.