Separability criteria and bounds for entanglement measures

2006/06/22 by Heinz-Peter Breuer · 2 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1088/0305-4470/39/38/010

published as J. Phys. A: Math. Gen. 39, 11847 (2006) · 8 pages, 2 figures

arxiv created 2006/06/22 · openalex publication_date 2006/09/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Employing a recently proposed separability criterion we develop analytical lower bounds for the concurrence and for the entanglement of formation of bipartite quantum systems. The separability criterion is based on a nondecomposable positive map which operates on state spaces with even dimension N >= 4, and leads to a class of nondecomposable optimal entanglement witnesses. It is shown that the bounds derived here complement and improve the existing bounds obtained from the criterion of positive partial transposition and from the realignment criterion.

Citations

• Optimal Entanglement Criterion for Mixed Quantum States
• Entanglement in SO(3)-invariant bipartite quantum systems
• State space structure and entanglement of rotationally invariant spin systems
• Entanglement in SU(2)-invariant quantum systems: The positive partial transpose criterion and others
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Entanglement of Formation of Bipartite Quantum States
• Separability Criterion for Density Matrices
• Concurrence of arbitrary dimensional bipartite quantum states

Cited by

• A NOTE ON QUANTUM ENTANGLEMENT AND PPT
• Unifying several separability conditions using the covariance matrix criterion