Preparation of Entangled States by Quantum Markov Processes

TL;DR

This paper presents a method to prepare specific entangled quantum states using dissipative processes, with a focus on quasi-local operations and scalability, demonstrated on various complex states including AKLT ground states.

Contribution

It introduces a general formalism for designing dissipative processes that uniquely prepare multipartite entangled states, including Cluster and AKLT states, with quasi-local jump operators.

Findings

Unique stationary states for multipartite pure states derived

Quasi-local jump operators can prepare complex entangled states

Relaxation time is independent of system size

Abstract

We investigate the possibility of using a dissipative process to prepare a quantum system in a desired state. We derive for any multipartite pure state a dissipative process for which this state is the unique stationary state and solve the corresponding master equation analytically. For certain states, like the Cluster states, we use this process to show that the jump operators can be chosen quasi-locally, i.e. they act non-trivially only on a few, neighboring qubits. Furthermore, the relaxation time of this dissipative process is independent of the number of subsystems. We demonstrate the general formalism by considering arbitrary MPS-PEPS states. In particular, we show that the ground state of the AKLT-model can be prepared employing a quasi--local dissipative process.