Principle of least action for quasi-adiabatic state transfers with dissipation

• URL: http://arxiv.org/abs/2402.12807v2
• Date: Wed, 20 Mar 2024 06:12:47 GMT
• Title: Principle of least action for quasi-adiabatic state transfers with dissipation
• Authors: Si Luo, Yinan Fang, Yingdan Wang, Stefano Chesi,
• Abstract summary: We discuss a general formalism to optimize quasi-adiabatic state-transfer protocols. We cast the residual fidelity loss, induced by a combination of dissipation and non-adiabatic transitions, in the form of a classical action. As an application, we analyze a system of two qubits subject to weak relaxation and dephasing, interacting through a strongly dissipative quantum bus.
• Score: 0.40498500266986387
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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