Related papers: Quantum State Driving along Arbitrary Trajectories

Quantum State Driving along Arbitrary Trajectories

URL: http://arxiv.org/abs/2211.02457v2
Date: Mon, 17 Jul 2023 12:06:34 GMT
Title: Quantum State Driving along Arbitrary Trajectories
Authors: Le Hu and Andrew N. Jordan
Abstract summary: We show how to drive a pure quantum state with limited resources along arbitrary pre-assigned trajectories. We then compare the solution to that of the counterdiabatic driving, and show how the Berry phase is directly involved in both driving processes.
Score: 3.8326963933937885
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Starting with the quantum brachistochrone problem of the infinitesimal form, we solve the minimal time and corresponding time-dependent Hamiltonian to drive a pure quantum state with limited resources along arbitrary pre-assigned trajectories. It is also shown that out of all possible trajectories, with limited resources, which are physically accessible and which are not. The solution is then generalized to the mixed quantum state cases, and applied to trajectories parameterized by single or multiple parameters with discrete or continuous spectrum. We then compare the solution to that of the counterdiabatic driving, and show how the Berry phase is directly involved in both driving processes.

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