Dynamically corrected gates from geometric space curves

Barnes, Edwin; Calderon-Vargas, F. A.; Dong, Wenzheng; Li, Bikun; Zeng, Junkai; Zhuang, Fei

doi:10.48550/arxiv.2103.16015

Cited by 2 publications

(2 citation statements)

References 151 publications

(235 reference statements)

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“…If robustness at a certain noise frequency is defined by a vanishing filter function value, robustness against static detuning noise (i.e., at ω = 0) is equivalent to having the position vector trace a closed three-dimensional curve whose curvature is given by Ω(t). Such a geometric interpretation has been noted previously in the literature [53][54][55][56][57][58][59].…”

Section: Dynamical Invariantssupporting

confidence: 80%

Reverse engineering of one-qubit filter functions with dynamical invariants

Colmenar,

Kestner

2022

Preprint

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We derive an integral expression for the filter-transfer function of an arbitrary one-qubit gate through the use of dynamical invariant theory and Hamiltonian reverse engineering. We use this result to define a cost functional which can be efficiently optimized to produce one-qubit control pulses that are robust against specified frequency bands of the noise power spectral density. We demonstrate the utility of our result by generating optimal control pulses that are designed to suppress broadband detuning and pulse amplitude noise. We report an order of magnitude improvement in gate fidelity in comparison with known composite pulse sequences. More broadly, we also use the same theoretical framework to prove the robustness of nonadiabatic geometric quantum gates under specific error models and control constraints.

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Section: Dynamical Invariantssupporting

confidence: 80%

Reverse engineering of one-qubit filter functions with dynamical invariants

Colmenar,

Kestner

2022

Preprint

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“…The the two ST qubits, as in Fig. 1(b), is in a Ising-like [72], namely, the qubits are coupled via the form of σ z ⊗ σ interaction. This is also applied for the capacitively-coupled charge qubits in semiconductor quantum dot [63], the superconducting transmon qubits operated in the dispersive regime [62], and also the NMR system [73].…”

Section: Two-qubit Geometricmentioning

confidence: 99%

Fast high-fidelity geometric gates for singlet-triplet qubits

Chen,

Zhang,

Xue

2021

Preprint

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Geometric gates that use the global property of the geometric phase is believed to be a powerful tool to realize fault-tolerant quantum computation. However, for singlet-triplet (ST) qubits in semiconductor quantum dot, the low Rabi frequency of the microwave control leads to overly long gating time, and thus the constructing geometric gate suffers more from the decoherence effect. Here, we investigate the key issue of whether the fast geometric gate can be realized for ST qubits without introducing an extra microwave-driven pulse, while maintain the high-fidelity gate operation at the same time. We surprisingly find that, both the single-and two-qubit geometric gates can be implemented via only modulating the time-dependent exchange interaction of the Hamiltonian, which can typically be on the order of ∼GHz, and thus the corresponding gate-time is of several nanoseconds. Furthermore, the obtained geometric gates are superior to their counterparts, i.e., the conventional dynamical gates for ST qubits, with a relatively high fidelity surpassing 99%. Therefore, our scheme is particularly applied to ST qubits to obtain fast and high-fidelity geometric gates. Our scheme can be also extended to other system without microwave drive.

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Dynamically corrected gates from geometric space curves

Cited by 2 publications

References 151 publications

Reverse engineering of one-qubit filter functions with dynamical invariants

Reverse engineering of one-qubit filter functions with dynamical invariants

Fast high-fidelity geometric gates for singlet-triplet qubits

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