Fast Navigation in a Large Hilbert Space Using Quantum Optimal Control

Larrouy, A.; Patsch, Sabrina; Richaud, Rémi; Raimond, Jean‐Michel; Brune, M.; Koch, Christiane P.; Gleyzes, Sébastien

doi:10.1103/physrevx.10.021058

Cited by 45 publications

(36 citation statements)

References 39 publications

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“…While quantum control has been employed to improve the precision in quantum estimation [47][48][49][50][51][52][53][54][55][56], the use of quantum control in quantum discrimination remains scarce [57][58][59]. This is so despite the fact that one may expect quantum control to help identify fundamental performance bounds of quantum discrimination, similar to those found for quantum computation [6,60] or derive pulse shapes for improved performance with direct relevance to experiments [8,61]. All that is required is to adapt the quantum optimal control toolbox to the specific use case of quantum discrimination.…”

Section: Introductionmentioning

confidence: 99%

Optimally controlled quantum discrimination and estimation

Basilewitsch

Yuan

Koch

2020

Phys. Rev. Research

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Quantum discrimination and estimation are pivotal for many quantum technologies, and their performance depends on the optimal choice of probe state and measurement. Here we show that their performance can be further improved by suitably tailoring the pulses that make up the interferometer. Developing an optimal control framework and applying it to the discrimination and estimation of a magnetic field in the presence of noise, we find an increase in the overall achievable state distinguishability. Moreover, the maximum distinguishability can be stabilized for times that are more than an order of magnitude longer than the decoherence time.

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Section: Introductionmentioning

confidence: 99%

Optimally controlled quantum discrimination and estimation

Basilewitsch

Yuan

Koch

2020

Phys. Rev. Research

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“…ω p ≈ ω 0 . While such an oscillatory behavior is common in Fourier based optimal control approaches, and often these oscillations can be excluded or suppressed without affecting the effectiveness of the protocol [40], here we find that these oscillations are crucial to the performance of the protocol, in their absence the infidelities rise significantly. Indeed, that the unconstrained ∂P-Free approach also converges to protocols with these characteristic oscillations indicate their importance in the protocol.…”

Section: Optimal Transport In a Disorder-free Chainmentioning

confidence: 57%

Optimal Control in Disordered Quantum Systems

Coopmans¹,

Kiely²,

Chiara³

et al. 2022

Preprint

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We investigate several control strategies for the transport of an excitation along a spin chain. We demonstrate that fast, high fidelity transport can be achieved using protocols designed with differentiable programming. Building on this, we then show how this approach can be effectively adapted to control a disordered quantum system. We consider two settings: optimal control for a known unwanted disorder pattern, i.e. a specific disorder realisation, and optimal control where only the statistical properties of disorder are known, i.e. optimizing for high average fidelities. In the former, disorder effects can be effectively mitigated for an appropriately chosen control protocol. However, in the latter setting the average fidelity can only be marginally improved, suggesting the presence of a fundamental lower bound.

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“…Also, there is an emerging and quite promising research direction of utilizing stochastic driving with a tunable time scale [58]. Moreover, one can ask, in the spirit of quantum control theory [59][60][61], whether a particular driving protocol could be designed in order to maximize or minimize the final condensate deformation.…”

Section: Discussionmentioning

confidence: 99%

Non-equilibrium evolution of Bose-Einstein condensate deformation in temporally controlled weak disorder

Radonjić

Pelster

2021

SciPost Phys.

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We consider a time-dependent extension of a perturbative mean-field approach to the homogeneous dirty boson problem by considering how switching on and off a weak disorder potential affects the stationary state of an initially {equilibrated} Bose-Einstein condensate by the emergence of a disorder-induced condensate deformation. We find that in the switch on scenario the stationary condensate deformation turns out to be a sum of an equilibrium part{, that actually corresponds to adiabatic switching on the disorder,} and a dynamically-induced part, where the latter depends on the particular driving protocol. If the disorder is switched off afterwards, the resulting condensate deformation acquires an additional dynamically-induced part in the long-time limit, while the equilibrium part vanishes. {We also present an appropriate generalization to inhomogeneous trapped condensates.} Our results demonstrate that the condensate deformation represents an indicator of the generically non-equilibrium nature of steady states of a Bose gas in a temporally controlled weak disorder.

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Fast Navigation in a Large Hilbert Space Using Quantum Optimal Control

Cited by 45 publications

References 39 publications

Optimally controlled quantum discrimination and estimation

Optimally controlled quantum discrimination and estimation

Optimal Control in Disordered Quantum Systems

Non-equilibrium evolution of Bose-Einstein condensate deformation in temporally controlled weak disorder

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