Stochastic resetting induces quantum non-Markovianity

TL;DR

This paper investigates how stochastic resetting in quantum systems can induce non-Markovian effects, revealing memory effects and potential for engineering quantum correlations through time-dependent reset protocols.

Contribution

It demonstrates that quantum stochastic resetting generally leads to non-divisible maps and non-Markovian dynamics, especially with negative reset probabilities, which was previously less understood.

Findings

Quantum resetting can cause revivals in state distinguishability.

Non-divisible maps characterize quantum reset processes.

Time-dependent resets can enhance stationary quantum correlations.

Abstract

Stochastic resetting describes dynamics which are reinitialized to a reference state at random times. These protocols are attracting significant interest: they can stabilize nonequilibrium stationary states, generate correlations in noninteracting systems, and enable optimal search strategies. While a constant reset probability results in a Markovian dynamics, much less is known about non-Markovian effects in quantum stochastic resetting. Here, we analyze memory effects in these processes -- examining the evolution of quantum states and of observables -- through witnesses of non-Markovianity for open quantum systems. We focus on discrete-time reset processes, which are of particular interest as they can be implemented on existing gate-operated quantum devices. We show that these processes are generically described by non-divisible maps and, in non-classical scenarios where the effective reset probability can become negative, can feature revivals in the state distinguishability. Our results reveal non-Markovian effects in quantum stochastic resetting and show that a time-dependent reset may be exploited to engineer enhanced stationary quantum correlations.