All-optical non-Markovian stroboscopic quantum simulator

TL;DR

This paper proposes an all-optical method to simulate non-Markovian quantum dynamics, enabling control over information flow and providing criteria for detecting non-Markovianity using linear optics and Gaussian states.

Contribution

It introduces a novel all-optical scheme for simulating and controlling non-Markovian quantum processes with proven conditions for non-Markovianity detection.

Findings

Established a necessary and sufficient condition for non-Markovianity in the scheme.

Analyzed various criteria for detecting non-Markovian behavior.

Demonstrated control over information backflow in the quantum system.

Abstract

An all-optical scheme for simulating non-Markovian evolution of a quantum system is proposed. It uses only linear optics elements and by controlling the system parameters allows one to control the presence or absence of information backflow from the environment. A sufficient and necessary condition for the non-Markovianity of our channel based on Gaussian inputs is proved. Various criteria for detecting non-Markovianity are also investigated by checking the dynamical evolution of the channel.