R Function Related to Entanglement of Formation

Abstract

By investigating the convex property of the function R, appeared in computing the entanglement of formation for isotropic states in Phys. Rev. Lett. 85, 2625 (2000), and a tight lower bound of entanglement of formation for arbitrary bipartite mixed states in Phys. Rev. Lett. 95, 210501 (2005), we show analytically that the very nice results in these papers are valid not only for dimensions 2 and 3 but any dimensions.

3 pages

References in corpus (4)

• Mixed State Entanglement and Quantum Error Correction
• Characterizing Entanglement
• The Entanglement of Formation for Isotropic States
• Entanglement of Formation of Bipartite Quantum States

Cited by in corpus (12)

• Quantum entanglement
• Separability criteria and bounds for entanglement measures
• Roofs and Convexity
• Local-dephasing-induced entanglement sudden death in two-component finite-dimensional systems
• Finite-time destruction of entanglement and non-locality by environmental influences
• Efficient algorithm for multi-qudit twirling for ensemble quantum computation
• Observable estimation of entanglement of formation and quantum discord for bipartite mixed quantum states
• Quantum correlation exists in any non-product state
• Constrained bounds on measures of entanglement
• Evaluation of entanglement measures by a single observable
• Lower and upper bounds for entanglement of Rényi-$\alpha$ entropy
• Computable constraints on entanglement-sharing of multipartite quantum states