2020
DOI: 10.1103/physreva.101.022320
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Time-optimal control of a dissipative qubit

Abstract: A formalism based on Pontryagin's maximum principle is applied to determine the time-optimal protocol that drives a general initial state to a target state by a Hamiltonian with limited control, i.e., there is a single control field with bounded amplitude. The coupling between the bath and the qubit is modeled by a Lindblad master equation. Dissipation typically drives the system to the maximally mixed state, consequently there generally exists an optimal evolution time beyond which the decoherence prevents th… Show more

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Cited by 29 publications
(41 citation statements)
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References 53 publications
(68 reference statements)
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“…10and (13) gives the c-Hamiltonian for systems having both unitary and dissipative dynamics. In principle, optimal control solutions can be found by iteratively solving for the (co)-state, extracting the switching function and updating the controls [40]. The downside is that one has to explicitly propagate the density matrix and its costates.…”
Section: Density Matrix Formulation and Pontryagin's Maximum Prinmentioning
confidence: 99%
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“…10and (13) gives the c-Hamiltonian for systems having both unitary and dissipative dynamics. In principle, optimal control solutions can be found by iteratively solving for the (co)-state, extracting the switching function and updating the controls [40]. The downside is that one has to explicitly propagate the density matrix and its costates.…”
Section: Density Matrix Formulation and Pontryagin's Maximum Prinmentioning
confidence: 99%
“…Using the formalism developed in Ref. [40], the optimal controls, switching functions, and c-Hamiltonians for both problems are given in Fig. 1; these solutions are referred to as the "exact" solutions and will be served as the reference for comparison.…”
Section: A Single Qubit Problemmentioning
confidence: 99%
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