A bipartite separable ball and its applications
Shu-Qian Shen, Ming Li, and Lei Li
TL;DR
This paper introduces a larger separable ball around the identity matrix for bipartite quantum states using a matrix norm, providing new criteria for state separability and extending to multipartite systems.
Contribution
It presents a novel separable ball based on matrix norms that improves upon previous Frobenius norm bounds and applies to various quantum states.
Findings
Larger separable ball around the identity matrix for bipartite states.
Simple sufficient conditions for separability of pseudopure states.
Extension of separable ball concept to multipartite systems.
Abstract
In this paper, based on a matrix norm, we first present a ball of separable unnormalized states around the identity matrix for the bipartite quantum system, which is larger than the separable ball in Frobenius norm. Then the proposed ball is used to get not only simple sufficient conditions for the separability of pseudopure states and the states with strong positive partial transposes, but also a separable ball centered at the identity matrix for the multipartite quantum system.
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