Related papers: Convergence of bipartite open quantum systems stabilized by reservoir engineering

Convergence of bipartite open quantum systems stabilized by reservoir engineering

URL: http://arxiv.org/abs/2311.10037v1
Date: Thu, 16 Nov 2023 17:34:36 GMT
Title: Convergence of bipartite open quantum systems stabilized by reservoir engineering
Authors: R\'emi Robin, Pierre Rouchon, Lev-Arcady Sellem
Abstract summary: We study a generic family of Lindblad master equations modeling bipartite open quantum systems. We apply our result to a Lindblad master equation proposed for the stabilization of so-called cat qubits.
Score: 0.0
License: http://creativecommons.org/licenses/by-nc-sa/4.0/
Abstract: We study a generic family of Lindblad master equations modeling bipartite open quantum systems, where one tries to stabilize a quantum system by carefully designing its interaction with another, dissipative, quantum system - a strategy known as quantum reservoir engineering. We provide sufficient conditions for convergence of the considered Lindblad equations; our setting accommodates the case where steady states are not unique but rather supported on a given subspace of the underlying Hilbert space. We apply our result to a Lindblad master equation proposed for the stabilization of so-called cat qubits, a system that received considerable attention in recent years due to its potential applications in quantum information processing.

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