Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates with Optimal Control in a Trapped Ion

Ai, Ming-Zhong; Li, Sai; Hou, Zhibo; He, Ran; Qian, Zhong-Hua; Xue, Zheng‐Yuan; Cui, Jin-Ming; Huang, Yun‐Feng; Li, Chuan‐Feng; Guo, Guang‐Can

doi:10.1103/physrevapplied.14.054062

Cited by 58 publications

(21 citation statements)

References 51 publications

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“…Recently, GQC [11][12][13][14][15][16][17] based on the nonadiabatic geometric phases [4,5] have been proposed to implement robust and high-fidelity quantum gates, which eliminate the restriction of slow evolution. Remarkably, experimental demonstrations for elementary geometric quantum gates have also been achieved on various systems, such as trapped ions [18,19], NMR [20][21][22][23], superconducting quantum circuits [24][25][26][27][28][29][30], and nitrogen vacancy centers [31][32][33][34][35][36], etc. Meanwhile, to further consolidate the geometric robustness, many efforts have been made to make GQC being compatible with various optimal-control techniques, including the composite pulse [37,38], dynamical decoupling [39,40], time-optimal control [41], path optimization [42], etc.…”

Section: Introductionmentioning

confidence: 99%

Error-Tolerant Geometric Quantum Control for Logical Qubits with Minimal Resource

Chen,

Xue,

Wang

2021

Preprint

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Geometric quantum computation offers a practical strategy toward robust quantum computation due to its inherently error tolerance. However, the rigorous geometric conditions lead to complex and/or error-disturbed quantum controls, especially for logical qubits that involve more physical qubits, whose error tolerance is effective in principle though, their experimental demonstration is still demanding. Thus, how to best simplify the needed control and manifest its full advantage has become the key to widespread applications of geometric quantum computation. Here we propose a new fast and robust geometric scheme, with the decoherence-freesubspace encoding, and present its physical implementation on superconducting quantum circuits, where we only utilize the experimentally demonstrated parametrically tunable coupling to achieve high-fidelity geometric control over logical qubits. Numerical simulation verifies that it can efficiently combine the error tolerance from both the geometric phase and logical-qubit encoding, displaying our gate-performance superiority over the conventional dynamical one without encoding, in terms of both gate fidelity and robustness. Therefore, our scheme can consolidate both error suppression methods for logical-qubit control, which sheds light on the future large-scale quantum computation.

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Section: Introductionmentioning

confidence: 99%

Error-Tolerant Geometric Quantum Control for Logical Qubits with Minimal Resource

Chen,

Xue,

Wang

2021

Preprint

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“…Another method of getting faster holonomic quantum gates is achieved via shortening the evolution path [40,41]. Besides the gate-time consideration, the pulse shaping technique is also applied in NHQC schemes [42][43][44][45][46] with experimental demonstrations [47][48][49][50][51][52], mainly to strength the gate-robustness.…”

Section: Introductionmentioning

confidence: 99%

“…Interestingly, the population of excited state will decrease with the increase of the composite pulse sequence in our S-NHQC, and thus improves both the gate fidelity and robustness. This is distinct from the conventional NHQC schemes [42][43][44][45][46][47][48][49][50][51][52] with dynamical decoupling pulse [55] and pulse shaping, where the gate robustness is obtained at the cost of decreasing the gate-fidelity. In addition, we compare our CS-NHQC scheme with the conventional dynamical scheme, and our scheme performs better in certain parameters ranges.…”

Section: Introductionmentioning

confidence: 99%

Composite Short-path Nonadiabatic Holonomic Quantum Gates

Liang,

Shen,

Chen

et al. 2021

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Nonadiabatic holonomic quantum computation (NHQC) has attracted significant attentions due to its fast evolution and the geometric nature induced resilience to local noises. However, its long operation time and complex physical implementation make it hard to surpass the dynamical scheme, and thus hindering its wide application. Here, we present to implement NHQC with the shortest path under some conditions, through the inverse Hamiltonian engineering technique, which posses higher fidelity and stronger robustness than previous NHQC schemes. Meanwhile, the gate performance in our scheme can be further improved by using the proposed composite dynamical decoupling pulses, which can efficiently improve both the gate fidelity and robustness, making our scheme outperforms the optimal dynamical scheme in certain parameter range. Remarkably, our scheme can be readily implemented with Rydberg atoms, and a simplified implementation of the controlled-not gate in the Rydberg blockade regime can be achieved. Therefore, our scheme represents a promising progress towards future fault-tolerant quantum computation in atomic systems.

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“…Recently, the research in this field is extended to investigate and implement the nonadiabatic holonomic quantum computation (NHQC) [21,22] based on the non-Abelian geometric phase, as it is faster than the adiabatic case and can naturally be used to construct universal quantum gates. At present, the better robust performance of geometric quantum computation has been theoretically investigated [20,[23][24][25][26][27] and some of them have already been experimentally demonstrated [28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Ultrafast Holonomic Quantum Gates

Shen,

Chen,

Xue

2021

Preprint

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Quantum computation based on geometric phase is generally believed to be more robust against certain errors or noises than the conventional dynamical strategy. However, the gate error caused by the decoherence effect is inevitable, and thus faster gate operations are highly desired. Here, we propose a nonadiabatic holonomic quantum computation (NHQC) scheme based on detuned interactions on ∆-type three-level system, which combines the time-optimal control technique with the time-independent detuning adjustment to further accelerate universal gate operations, so that the gate-time can be greatly shortened within the hardware limitation, and thus high-fidelity gates can be obtained. Meanwhile, our numerical simulations show that the gate robustness is also stronger than previous schemes. Finally, we present an implementation of our proposal on superconducting quantum circuits, with a decoherence-free subspace encoding, with the experimentally demonstrated parametrically tunable coupling technique, which also simplifies previous investigations. Therefore, our protocol provides a more promising alternative for future fault-tolerant quantum computation.

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Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates with Optimal Control in a Trapped Ion

Cited by 58 publications

References 51 publications

Error-Tolerant Geometric Quantum Control for Logical Qubits with Minimal Resource

Error-Tolerant Geometric Quantum Control for Logical Qubits with Minimal Resource

Composite Short-path Nonadiabatic Holonomic Quantum Gates

Ultrafast Holonomic Quantum Gates

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