Nonadiabatic geometric quantum computation with shortened path on superconducting circuits

Ding, Cheng-Yun; Liang, Yan; Yu, Kexun; Xue, Zheng‐Yuan

doi:10.1063/5.0071569

Cited by 13 publications

(4 citation statements)

References 45 publications

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“…In the following, we take the ratios of η = 0, 1, 2, 3 as examples to test their robustness against the control errors, i.e., the qubit-frequency drift δ and the deviation of the driving amplitude, and compare their performance with the OSSP scheme and pure dynamical case. The detailed steps of constructing the quantum OSSP and dynamical gate are in Appendices B and C. The Hamiltonian affected by these controlled errors is written as [33,35]…”

Section: ϕ(T)|ρ|ϕ(t) Dθmentioning

confidence: 99%

Optimized Unconventional Geometric Gates in Superconducting Circuits

Liu

Zhang

2023

Applied Sciences

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Nonadiabatic Abelian geometric quantum computation has been extensively studied, due to its fast manipulation and inherent noise resistance. However, to obtain the pure geometric phase, the quantum state is required to evolve along some special paths to eliminate the dynamical phase. This leads to increasing evolution time and weakened gate robustness. The unconventional geometric quantum computation is an effective way to solve the above problems. Here, we propose a general approach to realize the unconventional geometric computation. Then, we discuss the effect of the ratio of geometric phase to dynamic phase on the performance of quantum gates. The results show that the selection of ratio corresponds to different quantum gate robustness. Therefore, we can optimize the ratio to get higher-fidelity quantum gates. At last, we construct the ratio-optimized quantum gates in a superconducting circuit and test its robustness. The fidelities of the T-gate, Hadamard H-gate, and controlled phase gate can be obtained as 99.98%, 99.95%, and 99.85%, respectively. Therefore, our scheme provides a promising way to realize large-scale fault-tolerant quantum computation in superconducting circuits.

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Section: ϕ(T)|ρ|ϕ(t) Dθmentioning

confidence: 99%

Optimized Unconventional Geometric Gates in Superconducting Circuits

Liu

Zhang

2023

Applied Sciences

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“…Traditional NHQC schemes usually require exactly the same length of evolution path for any angles of rotation, sometimes it is called orange-slice-shaped NHQC (OSS-NHQC) [27][28][29][30][31][32][33]. A systematic approach to minimize the length has been proposed for two-level system [35,36] and three-level system [37,38]. In this work, we minimized the path of a single qubit gate for a three-level system with Λ configuration in the framework of NHQC.…”

Section: Introductionmentioning

confidence: 99%

Fast Evolution of Single Qubit Gate in Non-Adiabatic Geometric Quantum Computing

Tang,

Yang,

Yan

et al. 2022

Preprint

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We implemented the arbitrary single qubit gates of geometric quantum computing for a three-level system in a single-shot manner. The evolution time of the gate has been minimized by considering the shortest trajectory of the state on a Bloch sphere. The duration of gates with small rotation angles can be reduced to 50% of those in the orange-sliced-path NHQC scheme by the parametrization of Rabi frequency. We also demonstrated that certain pulses are robust against static detuning errors and Rabi errors. The time-dependent detuning and Rabi frequency are found to be proportional to each other by a constant which is determined by the geometric phase. In this way, some previous NHQC schemes can be treated as special cases here in our generalized model.

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“…Recently, many different NGQC protocols have been developed [13][14][15][16][17][18][19]; however, after experimental verification in var-ious quantum systems [20][21][22][23][24][25], it turns out that the advantages of geometric phase are compromised by local noises and the limitations of the protocol. To find better implementations, the orange-slice-shaped scheme [16][17][18][19] is proposed with simplified pulses, and the time and path optimal control techniques [26][27][28][29][30][31] are proposed to shorten the gate time and thus reducing the decoherence induced error. Meanwhile, when the Z error is the main error source, the dynamical decoupling method can be introduced [32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Robust nonadiabatic geometric quantum computation by dynamical correction

Liang,

Xue

2022

Preprint

Self Cite

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Besides the intrinsic noise resilience property, nonadiabatic geometric phases are of the fast evolution nature, and thus can naturally be used in constructing quantum gates with excellent performance, i.e., the so-called nonadiabatic geometric quantum computation (NGQC). However, previous single-loop NGQC schemes are sensitive to the operational control error, i.e., the X error, due to the limitations of the implementation. Here, we propose a robust scheme for NGQC combining with the dynamical correction technique, which still uses only simplified pulses, and thus being experimental friendly. We numerically show that our scheme can greatly improve the gate robustness in previous protocols, retaining the intrinsic merit of geometric phases. Furthermore, to fight against the dephasing noise, due to the Z error, we can incorporate the decoherence-free subspace encoding strategy. In this way, our scheme can be robust against both types of errors. Finally, we also propose how to implement the scheme with encoding on superconducting quantum circuits with experimentally demonstrated technology. Therefore, due to the intrinsic robustness, our scheme provides a promising alternation for the future scalable fault-tolerant quantum computation.

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Nonadiabatic geometric quantum computation with shortened path on superconducting circuits

Cited by 13 publications

References 45 publications

Optimized Unconventional Geometric Gates in Superconducting Circuits

Optimized Unconventional Geometric Gates in Superconducting Circuits

Fast Evolution of Single Qubit Gate in Non-Adiabatic Geometric Quantum Computing

Robust nonadiabatic geometric quantum computation by dynamical correction

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