Parameterized Bipartite Entanglement Measure

TL;DR

This paper introduces a new parameterized entanglement measure called alpha-concurrence for bipartite quantum systems, providing analytical bounds and explicit calculations for certain states, advancing entanglement quantification methods.

Contribution

It proposes the alpha-concurrence measure, deriving bounds and explicit formulas for isotropic and Werner states, enhancing entanglement quantification techniques.

Findings

Derived analytical lower bounds for alpha-concurrence.

Explicit formulas for isotropic and Werner states.

Enhanced methods for bipartite entanglement measurement.

Abstract

We propose a novel parameterized entanglement measure $\alpha$-concurrence for bipartite systems. By employing positive partial transposition and realignment criteria, we derive analytical lower bounds for the $\alpha$-concurrence. Moreover, we calculate explicitly the analytic expressions of the $\alpha$-concurrence for isotropic states and Werner states.