Perfect quantum-state synchronization

TL;DR

This paper characterizes the conditions for perfect quantum-state synchronization in open quantum systems, provides bounds and constructions for such mechanisms, and demonstrates their implementation on a quantum computer.

Contribution

It offers a comprehensive theoretical framework for quantum-state synchronization, including necessary conditions, bounds, and explicit constructions, with experimental validation.

Findings

Derived necessary and sufficient conditions for perfect synchronization.

Established lower bounds on environment Hilbert space dimension.

Experimentally demonstrated synchronization on IBM quantum computer.

Abstract

We investigate the most general mechanisms that lead to perfect synchronization of the quantum states of all subsystems of an open quantum system starting from an arbitrary initial state. We provide a necessary and sufficient condition for such "quantum-state synchronization", prove tight lower bounds on the dimension of the environment's Hilbert space in two main classes of quantum-state synchronizers, and give an analytical solution for their construction. The functioning of the found quantum-state synchronizer of two qubits is demonstrated experimentally on an IBM quantum computer and we show that the remaining asynchronicity is a sensitive measure of the quantum computer's imperfection.