On separable decompositions of quantum states with strong positive partial transposes

Abstract

We analyze a class of positive partial transpose states (PPT) such that the positivity of its partial transposition is recognized with respect to canonical factorization of the original density operator (Cholesky block decomposition). We call such PPT states strong PPT states (SPPT). This property, contrary to PPT, is basis dependent. It is shown that there exists a proper subset of SPPT states which are separable and provide a separable decomposition for any of these states.

6 pages

References in corpus (5)

• Entanglement detection
• The classical-quantum boundary for correlations: discord and related measures
• Quantum states with strong positive partial transpose
• Quantum-correlation breaking channels, broadcasting scenarios, and finite Markov chains
• Quantum-correlation breaking channels, quantum conditional probability and Perron-Frobenius theory

Cited by in corpus (2)

• Separability of Multipartite Quantum States with Strong Positive Partial Transpose
• A bipartite separable ball and its applications