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Monogamy relations of nonclassical correlations for multi-qubit states

2017/03/31 by Shuming Cheng, Lijun Liu
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Computer science #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum correlation #Quantum discord #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Qubit #Relation (database) #State (computer science) #Statistical physics #Theoretical physics #quant-ph

paper · pdf · doi:10.1016/j.physleta.2018.04.037

published as Phys. Lett. A (2018) · 14 pages, no figures

openalex publication_date 2018/04/24 · arxiv created 2018/05/09 · arxiv updated 2018/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Nonclassical correlations have been found useful in many quantum information processing tasks, and various measures have been proposed to quantify these correlations. In this work, we mainly study one of nonclassical correlations, called measurement-induced nonlocality (MIN). First, we establish a close connection between this nonlocal effect and the Bell nonlocality for two-qubit states. Then, we derive a tight monogamy relation of MIN for any pure three-qubit state and provide an alternative way to obtain similar monogamy relations for other nonclassical correlation measures, including squared negativity, quantum discord, and geometric quantum discord. Finally, we find that the tight monogamy relation of MIN is violated by some mixed three-qubit states, however, a weaker monogamy relation of MIN for mixed states and even multi-qubit states is still obtained.

Citations