Separability and Entanglement of Quantum States Based on Covariance Matrices

Abstract

We investigate the separability of quantum states based on covariance matrices. Separability criteria are presented for multipartite states. The lower bound of concurrence proposed in Phys. Rev. A. 75, 052320 (2007) is improved by optimizing the local orthonormal observables.

11 pages

References in corpus (6)

• Concurrence of arbitrary dimensional bipartite quantum states
• Covariance matrices and the separability problem
• Lower bounds on concurrence and separability conditions
• Optimal entanglement witnesses based on local orthogonal observables
• Entanglement criteria based on local uncertainty relations are strictly stronger than the computable cross norm criterion
• Characterizing multiparticle entanglement in symmetric N-qubit states via negativity of covariance matrices

Cited by in corpus (3)

• Beneficial and detrimental entanglement for quantum battery charging
• A family of multipartite separability criteria based on correlation tensor
• Quantum Entanglement: Separability, Measure, Fidelity of Teleportation and Distillation