Analytical results for entanglement in the five-qubit anisotropic Heisenberg model

2004/07/29 by Xiaoguang Wang, XiaoGuang Wang · 1 citation
Computer Science · Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Information and Cryptography #Quantum many-body systems #quant-ph

paper · pdf · doi:10.1016/j.physleta.2004.07.041

Four pages, three figures

arxiv created 2004/07/29 · openalex publication_date 2004/08/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We solve the eigenvalue problem of the five-qubit anisotropic Heisenberg model, without use of Bethe's Ansatz, and give analytical results for entanglement and mixedness of two nearest-neighbor qubits. The entanglement takes its maximum at Delta= (Delta>1) for the case of zero (finite) temperature with Delta being the anisotropic parameter. In contrast, the mixedness takes its minimum at Delta=1 (Delta>1) for the case of zero (finite) temperature.

Citations

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Entanglement versus Correlations in Spin Systems

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