Information-theoretic measure of genuine multiqubit entanglement

2006/09/10 by Jian-Ming Cai, Jianming Cai, Zheng-Wei Zhou +4 · 3 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physreva.74.042338

published as Phys. Rev. A 74, 042338 (2006) · 5 pages, 2 figures

arxiv created 2006/09/10 · openalex publication_date 2006/10/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider pure quantum states of N qubits and study the genuine N-qubit entanglement that is shared among all the N qubits. We introduce an information-theoretic measure of genuine N-qubit entanglement based on bipartite partitions. When N is an even number, this measure is presented in a simple formula, which depends only on the purities of the partially reduced density matrices. It can be easily computed theoretically and measured experimentally. When N is an odd number, the measure can also be obtained in principle.

Citations

• Three qubits can be entangled in two inequivalent ways
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Separability Criterion for Density Matrices
• Entanglement versus Correlations in Spin Systems
• Global entanglement in multiparticle systems
• Quantifying Entanglement
• Distributed Entanglement

Cited by

• Invariant information and complementarity in high-dimensional states
• Fidelity, entanglement, and information complementarity relation
• Compatibility conditions from multipartite entanglement measures