Principle of least action for quasi-adiabatic state transfers with dissipation
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929282493710336 |
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| author | Luo, Si Fang, Yinan Wang, Yingdan Chesi, Stefano |
| author_facet | Luo, Si Fang, Yinan Wang, Yingdan Chesi, Stefano |
| contents | We discuss a general formalism to optimize quasi-adiabatic state-transfer protocols, where high fidelity is achieved by maintaining the system in a dark subspace protected from the dominant dissipative channels. We cast the residual fidelity loss, induced by a combination of dissipation and non-adiabatic transitions, in the form of a classical action where the time-dependent control parameters act as coordinates. This allows us to apply the least action principle, yielding the fidelity upper-bound and the corresponding optimal transfer time. As an application, we analyze a system of two qubits subject to weak relaxation and dephasing, interacting through a strongly dissipative quantum bus. In this case, our formalism, we obtain a full characterization of the optimal state-transfer fidelity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12807 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Principle of least action for quasi-adiabatic state transfers with dissipation Luo, Si Fang, Yinan Wang, Yingdan Chesi, Stefano Quantum Physics We discuss a general formalism to optimize quasi-adiabatic state-transfer protocols, where high fidelity is achieved by maintaining the system in a dark subspace protected from the dominant dissipative channels. We cast the residual fidelity loss, induced by a combination of dissipation and non-adiabatic transitions, in the form of a classical action where the time-dependent control parameters act as coordinates. This allows us to apply the least action principle, yielding the fidelity upper-bound and the corresponding optimal transfer time. As an application, we analyze a system of two qubits subject to weak relaxation and dephasing, interacting through a strongly dissipative quantum bus. In this case, our formalism, we obtain a full characterization of the optimal state-transfer fidelity. |
| title | Principle of least action for quasi-adiabatic state transfers with dissipation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2402.12807 |