Simulation of indivisible qubit channels in collision models

TL;DR

This paper demonstrates how collision models with correlated environments can simulate any quantum channel, including non-Markovian evolutions, exemplified by the universal NOT gate, advancing quantum simulation techniques.

Contribution

It introduces a method to simulate arbitrary quantum channels, including non-Markovian ones, using correlated environment collision models, extending previous Markovian-focused approaches.

Findings

Correlated environments enable simulation of non-Markovian dynamics.

Universal NOT gate implemented via non-Markovian quantum channels.

Derived master equation for continuous non-Markovian evolution.

Abstract

A sequence of controlled collisions between a quantum system and its environment (composed of a set of quantum objects) naturally simulates (with arbitrary precision) any Markovian quantum dynamics of the system under consideration. In this paper we propose and study the problem of simulation of an {\it arbitrary} quantum channel via collision models. We show that a correlated environment is capable to simulate {\it non-Markovian} evolutions leading to any indivisible qubit channel. In particular, we derive the corresponding master equation generating a continuous time non-Markovian dynamics implementing the universal NOT gate being an example of the most non-Markovian quantum channels.