On Physical Realizability of Nonlinear Quantum Stochastic Differential Equations

TL;DR

This paper establishes criteria to determine when nonlinear quantum stochastic differential equations accurately represent the dynamics of open quantum systems, aiding in the design and analysis of quantum models.

Contribution

It provides a necessary and sufficient condition for the physical realizability of nonlinear QSDEs, advancing the theoretical understanding of quantum system modeling.

Findings

Derived a comprehensive criterion for physical realizability of nonlinear QSDEs

Bridged the gap between mathematical models and physical quantum systems

Enhanced the ability to verify quantum system models against physical laws

Abstract

In this article we study physical realizability for a class of nonlinear quantum stochastic differential equations (QSDEs). Physical realizability is a property in which a QSDE corresponds to the dynamics of an open quantum system. We derive a sufficient and necessary condition for a nonlinear QSDE to be physically realizable.