Noncyclic geometric quantum computation with shortcut to adiabaticity

Lv, Qing-Xian; Liang, Zhen-Tao; Liu, Hongzhi; Liang, Jia-Hao; Liao, Kai-Yu; Du, Yan-Xiong

doi:10.1103/physreva.101.022330

Cited by 19 publications

(11 citation statements)

References 47 publications

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“…The numerically thorough analysis show that, under the same experimental conditions, the decay and dephasing error caused by the environmental noise can significantly be suppressed via our NNGQC rather than the conventional NGQC. Comparing with recently noncyclic schemes [81,82], (i) our scheme only needs to adjust the amplitude and phase of microwave field without complicated pulse sequences in a resonant two-level system; (ii) the gate speed of our scheme is faster than Ref. [82] with the same Rabi frequency.…”

Section: Introductionmentioning

confidence: 97%

“…Comparing with recently noncyclic schemes [81,82], (i) our scheme only needs to adjust the amplitude and phase of microwave field without complicated pulse sequences in a resonant two-level system; (ii) the gate speed of our scheme is faster than Ref. [82] with the same Rabi frequency. Furthermore, our NNGQC can also be conveniently applied to other physical platforms such as superconducting qubits [57] and nitrogen-vacancy centers [66,67].…”

Section: Introductionmentioning

confidence: 97%

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Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms

Liu

Yung

2020

Phys. Rev. Research

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Nonadiabatic geometric quantum computation (NGQC) has been developed to realize fast and robust geometric gate. However, the conventional NGQC is that all of the gates are performed with exactly the same amount of time, whether the geometric rotation angle is large or small, due to the limitation of cyclic condition. Here, we propose an unconventional scheme, called nonadiabatic noncyclic geometric quantum computation (NNGQC), that arbitrary single-and two-qubit geometric gate can be constructed via noncyclic non-Abelian geometric phase. Consequently, this scheme makes it possible to accelerate the implemented geometric gates against the effects from the environmental decoherence. Furthermore, this extensible scheme can be applied in various quantum platforms, such as superconducting qubit and Rydberg atoms. Specifically, for single-qubit gate, we make simulations with practical parameters in neutral atom system to show the robustness of NNGQC and also compare with NGQC using the recent experimental parameters to show that the NNGQC can significantly suppress the decoherence error. In addition, we also demonstrate that nontrivial two-qubit geometric gate can be realized via unconventional Rydberg blockade regime within current experimental technologies. Therefore, our scheme provides a promising way for fast and robust neutral-atom-based quantum computation.

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Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 97%

Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms

Liu

Yung

2020

Phys. Rev. Research

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“…Therefore, the schemes of GQC based on single-loop evolution have been proposed [30][31][32][33][34][35][36][37][38], which further decreases the needed time for geometric gates. Notably, the elimination of dynamical phase has also been investigate in the case of quantum computation with non-cyclic geometric phases [39][40][41][42][43][44].…”

Section: Introductionmentioning

confidence: 99%

Path-optimized nonadiabatic geometric quantum computation on superconducting qubits

Ding,

Ji,

Chen

et al. 2021

Preprint

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Quantum computation based on nonadiabatic geometric phases has attracted a broad range of interests, due to its fast manipulation and inherent noise resistance. However, it is limited to some special evolution paths, and the gate-times are typically longer than conventional dynamical gates, resulting in weakening of robustness and more infidelities of the implemented geometric gates. Here, we propose a path-optimized scheme for geometric quantum computation on superconducting transmon qubits, where high-fidelity and robust universal nonadiabatic geometric gates can be implemented, based on conventional experimental setups. Specifically, we find that, by selecting appropriate evolution paths, the constructed geometric gates can be superior to their corresponding dynamical ones under different local errors. Numerical simulations show that the fidelities for single-qubit geometric Phase, π/8 and Hadamard gates can be obtained as 99.93%, 99.95% and 99.95%, respectively. Remarkably, the fidelity for two-qubit control-phase gate can be as high as 99.87%. Therefore, our scheme provides a new perspective for geometric quantum computation, making it more promising in the application of large-scale fault-tolerant quantum computation.

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“…Using a numerically thorough analysis on the performance of NNGQC and conventional NGQC under same experimental conditions, the decay and dephasing error caused by the environmental noise can significantly be suppressed via our NNGQC. Furthermore, comparing existing noncyclic schemes [75][76][77], our scheme only needs to adjust the amplitude and phase of microwave field without complicated pulse…”

Section: Introductionmentioning

confidence: 99%

Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms

Liu,

Su,

Yung

2020

Preprint

View full text Add to dashboard Cite

Nonadiabatic geometric quantum computation (NGQC) has been developed to realize fast and robust geometric gate. However, the previous NGQC is that all of the gates are performed with exactly the same amount of time, whether the geometric rotation angle is large or small, due to the limitation of cyclic condition. Here, we propose an unconventional scheme, called nonadiabatic noncyclic geometric quantum computation (NNGQC), that arbitrary single-and two-qubit geometric gate can be constructed via noncyclic non-Abelian geometric phase. Consequently, this scheme makes it possible to accelerate the implemented geometric gates against the effects from the environmental decoherence. Moreover, our scheme only needs to adjust the amplitude and phase of field in a microvave-coupled or Raman-process-induced resonant two-level system without complex control. Specifically, we consider Rydberg atoms based on the proposed unconventional Rydberg blockade regime for two-qubit gate. After a numerical analysis under same experimental conditions, we found that NNGQC can greatly suppress the decoherence error than NGQC. Therefore, our scheme opens the possibility for fast and robust geometric quantum computation on neutral-atom-based quantum system.

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Noncyclic geometric quantum computation with shortcut to adiabaticity

Cited by 19 publications

References 47 publications

Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms

Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms

Path-optimized nonadiabatic geometric quantum computation on superconducting qubits

Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms

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