Lower Bound of Concurrence and Distillation for Arbitrary Dimensional Bipartite Quantum States

TL;DR

This paper introduces a new lower bound for concurrence in bipartite quantum states, enhancing entanglement detection and distillability criteria for high-dimensional systems.

Contribution

It provides a novel lower bound for concurrence applicable to arbitrary dimensions, improving existing bounds and offering a practical criterion for entanglement distillability.

Findings

Enhanced lower bounds for concurrence in high-dimensional states

Improved detection of entanglement beyond traditional methods

Operational criterion for distillability of complex mixed states

Abstract

We present a lower bound of concurrence for arbitrary dimensional bipartite quantum states. This lower bound may be used to improve all the known lower bounds of concurrence. Moreover, the lower bound gives rise to an operational sufficient criterion of distillability of quantum entanglement. The significance of our result is illustrated by quantitative evaluation of entanglement for entangled states that fail to be identified by the usual concurrence estimation method, and by showing the distillability of mixed states that can not be recognized by other distillability criteria.