Entanglement of Formation of Bipartite Quantum States

2005/11/15 by Kai Chen, Sergio Albeverio, Shao-Ming Fei · 8 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/physrevlett.95.210501

published as Phys. Rev. Lett. 95, 210501 (2005) · 4 pages

openalex publication_date 2005/11/15 · arxiv created 2005/11/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We give an explicit tight lower bound for the entanglement of formation for arbitrary bipartite mixed states by using the convex hull construction of a certain function. This is achieved by revealing a novel connection among the entanglement of formation, the well-known Peres-Horodecki, and realignment criteria. The bound gives a quite simple and efficiently computable way to evaluate quantitatively the degree of entanglement for any bipartite quantum state.

Citations

• Strong superadditivity of the entanglement of formation follows from its additivity
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Separability Criterion for Density Matrices
• Entanglement for a two-parameter class of states in 2⊗ n quantum system
• Entanglement of a Pair of Quantum Bits
• Concurrence of arbitrary dimensional bipartite quantum states

Cited by

• Sudden Birth versus Sudden Death of Entanglement in Multipartite Systems
• Optimal Entanglement Criterion for Mixed Quantum States
• Separability criteria and bounds for entanglement measures
• Novel Schemes for Directly Measuring Entanglement of General States
• Lower bounds of concurrence for tripartite quantum systems
• Lower bounds on entanglement measures from incomplete information
• A NOTE ON QUANTUM ENTANGLEMENT AND PPT
• Unifying several separability conditions using the covariance matrix criterion