Entanglement in bipartite generalized coherent states

TL;DR

This paper analyzes entanglement properties in bipartite generalized coherent states, showing how a positive parameter controls entanglement levels, with maximum entanglement of 1 bit at a specific parameter value.

Contribution

It introduces a parameter-based framework for quantifying entanglement in bipartite generalized coherent states and extends known results to this broader class.

Findings

Maximum entanglement of 1 bit occurs at parameter value √2.

States with equal parameter values have equal entanglement.

Entanglement of 1 bit when relative phase is π in these states.

Abstract

Entanglement in a class of bipartite generalized coherent states is discussed. It is shown that a positive parameter can be associated with the bipartite generalized coherent states so that the states with equal value for the parameter are of equal entanglement. It is shown that the maximum possible entanglement of 1 bit is attained if the positive parameter equals $\sqrt{2}$. The result that the entanglement is one bit when the relative phase between the composing states is $\pi$ in bipartite coherent states is shown to be true for the class of bipartite generalized coherent states considered.