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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.10037 |
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| _version_ | 1866917850578419712 |
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| author | Robin, Rémi Rouchon, Pierre Sellem, Lev-Arcady |
| author_facet | Robin, Rémi Rouchon, Pierre Sellem, Lev-Arcady |
| contents | 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 modeling engineered multi-photon emission and absorption processes, a setting that received considerable attention in recent years due to its potential applications for the stabilization of so-called cat qubits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_10037 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Convergence of bipartite open quantum systems stabilized by reservoir engineering Robin, Rémi Rouchon, Pierre Sellem, Lev-Arcady Quantum Physics Mathematical Physics 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 modeling engineered multi-photon emission and absorption processes, a setting that received considerable attention in recent years due to its potential applications for the stabilization of so-called cat qubits. |
| title | Convergence of bipartite open quantum systems stabilized by reservoir engineering |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2311.10037 |