Quantum optimal control using phase-modulated driving fields

Tian, Jiazhao; Liu, Haibin; Liu, Yu; Yang, Pengcheng; Betzholz, Ralf; Said, Ressa S.; Jelezko, Fedor; Cai, Jianming

doi:10.1103/physreva.102.043707

Cited by 30 publications

(17 citation statements)

References 79 publications

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“…In addition to these future directions, it is also important to emphasize that SCQC is complementary to state-ofthe-art numerical methods for designing pulses [159][160][161][162][163][164][165][166][167][168]. This is because the SCQC framework provides a global view of the optimal control landscape-something that is rarely possible with numerical techniques.…”

Section: Discussionmentioning

confidence: 99%

Dynamically corrected gates from geometric space curves

Barnes¹,

Calderon-Vargas²,

Dong³

et al. 2021

Preprint

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Quantum information technologies demand highly accurate control over quantum systems. Achieving this requires control techniques that perform well despite the presence of decohering noise and other adverse effects. Here, we review a general technique for designing control fields that dynamically correct errors while performing operations using a close relationship between quantum evolution and geometric space curves. This approach provides access to the global solution space of control fields that accomplish a given task, facilitating the design of experimentally feasible gate operations for a wide variety of applications.

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Section: Discussionmentioning

confidence: 99%

Dynamically corrected gates from geometric space curves

Barnes¹,

Calderon-Vargas²,

Dong³

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Then how to make the temporary control converges to the optimal form as fast as possible, is the subsequent problem. Some algorithm such as the gradient ascent pulse engineering (GRAPE) [41], the Krotov algorithm [42,43], the chopped random-basis (CRAB) method [44], and some related variants [45][46][47] offer many possibilities for the solution. The pertinent discussions belong to quantum optimal control theory [48], which will be the focus of our next work.…”

Section: Discussionmentioning

confidence: 99%

Multiparameter simultaneous optimal estimation with an SU(2) coding unitary evolution

Yang,

Ru,

et al. 2022

Preprint

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In a ubiquitous SU (2) dynamics, achieving the simultaneous optimal estimation of multiple parameters is significant but difficult. Using quantum control to optimize this SU (2) coding unitary evolution is one of solutions. We propose a method, characterized by the nested cross-products of the coefficient vector X of SU (2) generators and its partial derivative ∂ X, to investigate the control-enhanced quantum multiparameter estimation. Our work reveals that quantum control is not always functional in improving the estimation precision, which depends on the characterization of an SU (2) dynamics with respect to the objective parameter. This characterization is quantified by the angle α between X and ∂ X. For an SU (2) dynamics featured by α = π/2, the promotion of the estimation precision can get the most benefits from the controls. When α gradually closes to 0 or π, the precision promotion contributed to by quantum control correspondingly becomes inconspicuous. Until a dynamics with α = 0 or π, quantum control completely loses its advantage. In addition, we find a set of conditions restricting the simultaneous optimal estimation of all the parameters, but fortunately, which can be removed by using a maximally entangled two-qubit state as the probe state and adding an ancillary channel into the configuration. Lastly, a spin-1/2 system is taken as an example to verify the above-mentioned conclusions. Our proposal sufficiently exhibits the hallmark of control-enhancement in fulfilling the multiparameter estimation mission, and it is applicable to an arbitrary SU (2) parametrization process.

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“…In addition, broadband quantum gates can be achieved through modulated driving, e.g., via numerical optimization [55]. Though such quantum optimal control has been typically studied assuming the validity of the RWA [25], Ref.…”

Section: Discussionmentioning

confidence: 99%

Observation of the high-order Mollow triplet by quantum mode control with concatenated continuous driving

2021

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The Mollow triplet is a fundamental signature of quantum optics and has been observed in numerous quantum systems. Although it arises in the "strong driving" regime of the quantized field, where the atoms undergo coherent oscillations, it can be typically analyzed within the rotating wave approximation. Here we report the first observation of high-order effects in the Mollow triplet structure due to strong driving. In experiments, we explore the regime beyond the rotating wave approximation using concatenated continuous driving that has less stringent requirements on the driving field power. We are then able to reveal additional transition frequencies, shifts in energy levels, and corrections to the transition amplitudes. In particular, we find that these amplitudes are more sensitive to high-order effects than the frequency shifts and that they still require an accurate determination in order to achieve high-fidelity quantum control. The experimental results are validated by Floquet theory, which enables the precise numerical simulation of the evolution and further provides an analytical form for an effective Hamiltonian that approximately predicts the spin dynamics beyond the rotating wave approximation.

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Quantum optimal control using phase-modulated driving fields

Cited by 30 publications

References 79 publications

Dynamically corrected gates from geometric space curves

Dynamically corrected gates from geometric space curves

Multiparameter simultaneous optimal estimation with an SU(2) coding unitary evolution

Observation of the high-order Mollow triplet by quantum mode control with concatenated continuous driving

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