Time-optimal control of spin 1/2 particles in the presence of radiation damping and relaxation

Zhang, Y.; Lapert, M.; Sugny, Dominique; Braun, Michael H.; Glaser, Steffen J.

doi:10.1063/1.3543796

Cited by 54 publications

(48 citation statements)

References 42 publications

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“…In this framework, different numerical optimal control algorithms [7][8][9] have been developed and applied to a large variety of quantum systems. Optimal control was used in physical chemistry in order to steer chemical reactions [3], but also for spin systems [10,11] with applications in Nuclear Magnetic Resonance [7,[12][13][14][15][16] and Magnetic Resonance Imaging [17][18][19]. Recently, optimal control has attracted attention in view of applications to quantum information processing, for example as a tool to implement high-fidelity quantum gates in minimum time [4,20,21].…”

Section: Introductionmentioning

confidence: 99%

Fully efficient time-parallelized quantum optimal control algorithm

et al. 2016

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We present a time-parallelization method that enables to accelerate the computation of quantum optimal control algorithms. We show that this approach is approximately fully efficient when based on a gradient method as optimization solver: the computational time is approximately divided by the number of available processors. The control of spin systems, molecular orientation and BoseEinstein condensates are used as illustrative examples to highlight the wide range of application of this numerical scheme.

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Section: Introductionmentioning

confidence: 99%

Fully efficient time-parallelized quantum optimal control algorithm

et al. 2016

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“…Spin baths can be studied by NMR experiments and can be viewed as assemblies of qubits (a qubit is an unit of quantum information in quantum computing). These applications need to study the control of spin baths [14][15][16], but the decoherence processes can drastically decrease the efficiency of the control. Previous studies concerning decoherence of spin baths focused on decoherence induced by spin-spin interactions inner the bath (the spin bath being itself considered as an environment for one of its spins).…”

Section: Introductionmentioning

confidence: 99%

Decoherence, relaxation, and chaos in a kicked-spin ensemble

Viennot¹,

Aubourg²

2013

Phys. Rev. E

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We study the dynamics of a quantum spin ensemble controlled by trains of ultrashort pulses. To model disturbances of the kicks, we consider that the spins are submitted to different kick trains which follow regular, random, stochastic or chaotic dynamical processes. These are described by dynamical systems on a torus. We study the quantum decoherence and the population relaxation of the spin ensemble induced by these classical dynamical processes disturbing the kick trains. For chaotic kick trains we show that the decoherence and the relaxation processes exhibit a signature of chaos directly related to the Lyapunov exponents of the dynamical system. This signature is a horizon of coherence, i.e. a preliminary duration without decoherence followed by a rapid decoherence process.

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“…These numerical approaches are very powerful because the optimization algorithms they use are mostly platform independent and easily extendable to account for constraints such as those of ensemble control. Optimal control theory has been applied to the problem of robust or ensemble control in many different contexts like NMR [24][25][26][27], many-body entanglement [28], spin-chains [29], and spin systems [30]. The remainder of this paper is a follows.…”

Section: Introductionmentioning

confidence: 99%

High-fidelity quantum gates in the presence of dispersion

et al. 2012

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We numerically demonstrate the control of motional degrees of freedom of an ensemble of neutral atoms in an optical lattice with a shallow trapping potential. Taking into account the range of quasimomenta across different Brillouin zones results in an ensemble whose members effectively have inhomogeneous control fields as well as spectrally distinct control Hamiltonians. We present an ensemble-averaged optimal control technique that yields high fidelity control pulses, irrespective of quasimomentum, with average fidelities above 98%. The resulting controls show a broadband spectrum with gate times in the order of several free oscillations to optimize gates with up to 13.2% dispersion in the energies from the band structure. This can be seen as a model system for the prospects of robust quantum control. This result explores the limits of discretizing a continuous ensemble for control theory.

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Time-optimal control of spin 1/2 particles in the presence of radiation damping and relaxation

Cited by 54 publications

References 42 publications

Fully efficient time-parallelized quantum optimal control algorithm

Fully efficient time-parallelized quantum optimal control algorithm

Decoherence, relaxation, and chaos in a kicked-spin ensemble

High-fidelity quantum gates in the presence of dispersion

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