2015
DOI: 10.1103/physreva.92.063415
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Near-time-optimal control for quantum systems

Abstract: For a quantum system controlled by an external field, time-optimal control is referred to as the shortest time duration control that can still permit maximizing an objective function J, which is especially a desirable goal for engineering quantum dynamics against decoherence effects. However, since rigorously finding a timeoptimal control is usually very difficult, and in many circumstances the control is only required to be sufficiently short and precise, one can design algorithms seeking such suboptimal cont… Show more

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Cited by 25 publications
(20 citation statements)
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“…For example, the fidelity of tomography experiments is rarely above 99% due to the limited control precision of the tomographic experimental techniques as pointed out in Ref. [31]. Under such conditions, it is unnecessary to prolong the control time since the departure from the optimal scenario is essentially negligible.…”
Section: Discussionmentioning
confidence: 99%
“…For example, the fidelity of tomography experiments is rarely above 99% due to the limited control precision of the tomographic experimental techniques as pointed out in Ref. [31]. Under such conditions, it is unnecessary to prolong the control time since the departure from the optimal scenario is essentially negligible.…”
Section: Discussionmentioning
confidence: 99%
“…The control pulses {u k j } of length T enter in the time evolution operator U (T ). In order to solve (4) we use the algorithm detailed in [28], which is summarized below with further details found in the latter reference.…”
Section: Fig 1 (Color Online)mentioning
confidence: 99%
“…As far as we know, although non-Hermitian systems indeed have some peculiar features and some of them have been proved that can be equivalent to Hermitian systems in some particular conditions [24][25][26][27][28][29], the complex field is always seen as unphysical. Recently some works, including theoretical and experimental research on Lee Yang zeros, which are the points on the complex plane of physical parameters, are proposed [30][31][32][33][34][35][36]. It relates a complex field to the real world in some extent.…”
Section: Hamiltonian and Hermitian Counterpartmentioning
confidence: 99%