Simulation of indivisible qubit channels in collision models

Abstract

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