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Quantum Information Processing

Analytical solution of multipartite quantum nonlocality in a cluster-Ising model and an improved transfer matrix approach

  • 01-11-2025
Published in:
Authors
Fan-Qin Xu
Hong-Guang Cheng
Ze-Xing Lu
Zhao-Yu Sun
Published in
Quantum Information Processing | Issue 11/2025

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Abstract

This paper delves into the phenomenon of multipartite quantum nonlocality, a correlation that defies local realistic theories, and its significance across various scientific fields. The study focuses on a cluster-Ising model, for which an analytical solution for ground-state nonlocality is derived, addressing critical questions left unanswered by numerical methods. The paper introduces an improved transfer matrix approach that simplifies the representation and interpretation of Mermin–Klyshko–Svetlichny (MKS) operators, revealing their string-like structure and the irrelevance of qubit ordering in their construction. Additionally, the paper analyzes Bell inequality violations and the nonlocality spectrum, providing a comprehensive framework for detecting multipartite nonlocality across all system sizes. The findings offer valuable insights for both theoretical advancements and experimental applications in quantum information and condensed matter physics.
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previous article Three-qubit W state tomography via full and marginal state reconstructions on ibm_osaka
next article Bidirectional quantum teleportation using quantum walks
Title
Analytical solution of multipartite quantum nonlocality in a cluster-Ising model and an improved transfer matrix approach
Authors
Fan-Qin Xu
Hong-Guang Cheng
Ze-Xing Lu
Zhao-Yu Sun
Publication date
01-11-2025
Publisher
Springer US
Published in
Quantum Information Processing / Issue 11/2025
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-025-04966-5
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