Separability Lindblad equation for dynamical open-system entanglement

TL;DR

This paper introduces a novel nonlinear Lindblad equation framework that identifies and characterizes the build-up of entanglement in open quantum systems by enforcing separability at each moment, aiding quantum technology development.

Contribution

The paper proposes a new class of nonlinear Lindblad equations that unambiguously detect dynamical entanglement through deviations from separability, focusing on instantaneous state correlations.

Findings

Solved the equations for key examples, quantifying entanglement dynamics.

Provided a method to benchmark entangled state engineering via dissipation.

Characterized quantum correlations in noisy system-bath interactions.

Abstract

Providing entanglement for the design of quantum technologies in the presence of noise constitutes today's main challenge in quantum information science. A framework is required that assesses the build-up of entanglement in realistic settings. In this work, we put forth a new class of nonlinear quantum master equations in Lindblad form that unambiguously identify dynamical entanglement in open quantum systems via deviations from a separable evolution. This separability Lindblad equation restricts quantum trajectories to classically correlated states only. Unlike many conventional approaches, here the entangling capabilities of a process are not characterized by input-output relations, but separability is imposed at each instant of time. We solve these equations for crucial examples, thereby quantifying the dynamical impact of entanglement in non-equilibrium scenarios. Our results allow to benchmark the engineering of entangled states through dissipation. The separability Lindblad equation provides a unique path to characterizing quantum correlations caused by arbitrary system-bath interactions, specifically tailored for the noisy intermediate-scale quantum era.