The Origin of Separable States and Separability Criteria from Entanglement-breaking Channels

Abstract

In this paper, we show that an arbitrary separable state can be the output of a certain entanglement-breaking channel corresponding exactly to the input of a maximally entangled state. A necessary and sufficient separability criterion and some sufficient separability criteria from entanglement-breaking channels are given.

EBCs with trace-preserving and EBCs without trace-preserving are separately discussed

References in corpus (4)

• Experimental Analysis of a 4-Qubit Cluster State
• Covariance matrices and the separability problem
• Structural approximations to positive maps and entanglement breaking channels
• Nonadditivity of quantum and classical capacities for entanglement breaking multiple-access channels and butterfly network

Cited by in corpus (1)

• Constructing all entanglement witnesses from density matrices