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Preprints, Working Papers, ... Year : 2023

Convergence of bipartite open quantum systems stabilized by reservoir engineering

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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hal-04379101 , version 1 (08-01-2024)

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Rémi Robin, Pierre Rouchon, Lev-Arcady Sellem. Convergence of bipartite open quantum systems stabilized by reservoir engineering. 2023. ⟨hal-04379101⟩
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