Achieving fast high-fidelity optimal control of many-body quantum dynamics

Jensen, Jesper Hasseriis Mohr; Møller, Frederik Trier; Sørensen, Jens Jakob; Sherson, Jacob

doi:10.1103/physreva.104.052210

Cited by 13 publications

(10 citation statements)

References 78 publications

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“…For example, a Newton-Raphson method with a regularized Hessian can be applied [263]. This should be used on top of exact, yet efficient calculations of the gradient [262,309] since approximations of the gradient also limit convergence of gradient-based methods. For spin systems in particular, the su(2) algebra can be exploited to calculate both first and second derivatives exactly [233].…”

Section: Numerical Approachmentioning

confidence: 99%

Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Koch

Boscain

Calarco

et al. 2022

EPJ Quantum Technol.

211

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Quantum optimal control, a toolbox for devising and implementing the shapes of external fields that accomplish given tasks in the operation of a quantum device in the best way possible, has evolved into one of the cornerstones for enabling quantum technologies. The last few years have seen a rapid evolution and expansion of the field. We review here recent progress in our understanding of the controllability of open quantum systems and in the development and application of quantum control techniques to quantum technologies. We also address key challenges and sketch a roadmap for future developments.

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Section: Numerical Approachmentioning

confidence: 99%

Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Koch

Boscain

Calarco

et al. 2022

EPJ Quantum Technol.

211

View full text Add to dashboard Cite

show abstract

“…Although MPS representation is limited in its capabilities of representing strongly entangled states, this restriction can be practically avoided by choosing a sufficiently large bond dimension. For instance, numerical MPS-based trajectory optimizations of the state preparation across superfluid-insulator phase transition in the Bose Hubbard model is reported to be converged for a bond dimension of χ = 200 [22]. In addition, many interesting states that have a non-trivial global entanglement pattern, such as the celebrated Greenberger-Horne-Zeilinger state, are naturally encoded as MPS of a low bond dimension.…”

Section: Discussionmentioning

confidence: 99%

“…[16] along with review [17] and tutorial [18]. Typically, in such numerical setups one optimizes the fidelity of the state preparation over the trajectory in the multidimensional space of control parameters using gradientfree [19] or gradient-based routines [20][21][22][23]. In addition, machine-learning based approaches to this problem were also considered [24,25].…”

Section: Introductionmentioning

confidence: 99%

Optimal steering of matrix product states and quantum many-body scars

Ljubotina¹,

Roos²,

Abanin³

et al. 2022

Preprint

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Ongoing development of quantum simulators allows for a progressively finer degree of control of quantum many-body systems. This motivates the development of efficient approaches to facilitate the control of such systems and enable the preparation of non-trivial quantum states. Here we formulate an approach to control quantum systems based on matrix product states (MPS). We compare counter-diabatic and leakage minimization approaches to the so-called local steering problem, that consists in finding the best value of the control parameters for generating a unitary evolution of the specific MPS state in a given direction. In order to benchmark the different approaches, we apply them to the generalization of the PXP model known to exhibit coherent quantum dynamics due to quantum many-body scars. We find that the leakage-based approach generally outperforms the counter-diabatic framework and use it to construct a Floquet model with quantum scars. Finally, we perform the first steps towards global trajectory optimization and demonstrate entanglement steering capabilities in the generalized PXP model.

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“…For example, a Newton-Raphson method with a regularized Hessian can be applied [259]. This should be used on top of exact, yet efficient calculations of the gradient [258,304] since approximations of the gradient also limit convergence of gradient-based methods. For spin systems in particular, the su(2) algebra can be exploited to calculate both first and second derivatives exactly [230].…”

Section: Numerical Approachmentioning

confidence: 99%

Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Koch,

Boscain,

Calarco

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

Achieving fast high-fidelity optimal control of many-body quantum dynamics

Cited by 13 publications

References 78 publications

Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Optimal steering of matrix product states and quantum many-body scars

Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

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