Measure of entanglement production by quantum operations

TL;DR

This paper introduces a comprehensive measure of entanglement production by quantum operations applicable to pure and mixed states, equilibrium and nonequilibrium processes, using generalized correlation matrices for diverse systems.

Contribution

It proposes a novel, general measure of entanglement production valid across various quantum systems and processes, satisfying all key properties of such measures.

Findings

The measure applies to pure and mixed states.

It is valid for equilibrium and nonequilibrium processes.

It can be used for systems described by different operators.

Abstract

A measure of entanglement production by quantum operations is suggested. This measure is general, being valid for operations over pure states as well as over mixed states, for equilibrium as well as for nonequilibrium processes. The measure of entanglement production satisfies all properties typical of such a characteristic. Systems of arbitrary nature can be treated, described by field operators, spin operators, or any other operators, which is realized by defining generalized correlation matrices. Particular cases of entanglement production are considered.