Multiparty correlation measure based on the cumulant

2006/10/31 by P. Zhang, Dong Zhou, Bei Zeng +3 · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Applied mathematics #Computer science #Construct (python library) #Correlation #Cumulant #Data mining #Mathematics #Measure (data warehouse) #Norm (philosophy) #Physics #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #State (computer science) #Statistical physics #Statistics #TRACE (psycholinguistics) #cond-mat.other #quant-ph

paper · pdf · doi:10.1103/physreva.74.052110

published as Phys. Rev. A 74, 062110 (2006) · 7pages, 4 figures

openalex publication_date 2006/11/22 · arxiv created 2007/01/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We propose a genuine multiparty correlation measure for a multiparty quantum system as the trace norm of the cumulant of the state. The legitimacy of our multiparty correlation measure is explicitly demonstrated by proving it satisfies the five basic conditions required for a correlation measure. As an application we construct an efficient algorithm for the calculation of our measures for all stabilizer states.

Citations

• Three qubits can be entangled in two inequivalent ways
• Quantum entanglement in states generated by bilocal group algebras
• Entanglement versus Correlations in Spin Systems
• Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
• Classical, quantum and total correlations
• Generalized Schmidt Decomposition and Classification of Three-Quantum-Bit States
• The role of relative entropy in quantum information theory

Cited by

• Geometric global quantum discord
• Multipartite quantum correlation and entanglement in four-qubit pure states
• Numerical study of two-body correlation in a 1D lattice with perfect blockade