Stabilizing Quantum States and Automatic Error Correction by Dissipation Control

TL;DR

This paper introduces a method for stabilizing quantum states and automatically correcting errors using dissipation control, applicable to multipartite systems with two-body interactions, demonstrated on three-qubit repetition code states.

Contribution

It proposes an extended scalability condition for ground-state stability and provides an explicit dissipation control construction, also showing its use in automatic error correction.

Findings

Successfully stabilizes three-qubit repetition code states

Demonstrates dissipation control for automatic error correction

Extends scalability conditions for multipartite quantum systems

Abstract

In this paper an extended scalability condition is proposed to achieve the ground-state stability for a class of multipartite quantum systems which may involve two-body interactions, and an explicit procedure to construct the dissipation control is presented. Moreover, we show that dissipation control can be used for automatic error correction in addition to stabilization. We demonstrate the stabilization and error correction of three-qubit repetition code states using dissipation control.