Searching nonadiabatic holonomic quantum gates via an optimization algorithm

Zhang, Feihao; Zhang, Jiang; Gao, Pan; Long, Gui Lu

doi:10.1103/physreva.100.012329

Cited by 24 publications

(13 citation statements)

References 61 publications

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“…Since nonadiabatic geometric quantum computation as well as nonadiabatic holonomic quantum computation not only has some intrinsic noise-resilience features but also allows high-speed implementation, they have received increasing attention . Up to now, nonadiabatic geometric gates have been experimentally demonstrated with trapped ions [36] and nuclear magnetic resonance [37], and nonadiabatic holonomic gates have been experimentally demonstrated with nuclear magnetic resonance [38,39], superconducting circuits [40][41][42][43][44], and nitrogen-vacancy centers in diamond [45][46][47][48][49][50][51]. Besides, adiabatic geometric gates have been sped up [52,53] using the transitionless quantum driving algorithm [54] and the corresponding experiments have demonstrated this result [55][56][57][58][59].…”

Section: Introductionmentioning

confidence: 95%

Experimental realization of nonadiabatic geometric gates with a superconducting Xmon qubit

Zhao

Dong

Zhang

et al. 2021

Sci. China Phys. Mech. Astron.

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Geometric phases are only dependent on evolution paths but independent of evolution details so that they possess some intrinsic noise-resilience features. Based on different geometric phases, various quantum gates have been proposed, such as nonadiabatic geometric gates based on nonadiabatic Abelian geometric phases and nonadiabatic holonomic gates based on nonadiabatic non-Abelian geometric phases. Up to now, nonadiabatic holonomic one-qubit gates have been experimentally demonstrated with superconducting transmons, where the three lowest levels are all utilized in operation. However, the second excited state of transmons has a relatively short coherence time, which results in a decreased fidelity of quantum gates. Here, we experimentally realize Abelian-geometric-phase-based nonadiabatic geometric one-qubit gates with a superconducting Xmon qubit. The realization is performed on the two lowest levels of an Xmon qubit and thus avoids the influence from the short coherence time of the second excited state. The experimental result indicates that the average fidelities of single-qubit gates can be up to 99.6% and 99.7% characterized by quantum process tomography and randomized benchmarking.

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Section: Introductionmentioning

confidence: 95%

Experimental realization of nonadiabatic geometric gates with a superconducting Xmon qubit

Zhao

Dong

Zhang

et al. 2021

Sci. China Phys. Mech. Astron.

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show abstract

“…Universal quantum logical gates [ 1–3 ] are basic elements of universal quantum computing. Recently, the realization of gates has attracted much attention in many quantum systems, such as atoms, [ 4,5 ] cavity quantum electrodynamics (QED), [ 6–9 ] nuclear magnetic resonances, [ 10,11 ] quantum dots, [ 12,13 ] photons, [ 14–18 ] circuit QED, [ 19–21 ] and diamond nitrogen‐vacancy (NV) centers.…”

Section: Introductionmentioning

confidence: 99%

All‐Resonance Controlled‐Phase Gate on Two Nonlocal Nitrogen‐Vacancy Center Ensembles Assisted by a Superconducting Quantum Circuit

Tao

et al. 2021

Annalen der Physik

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The realization of universal quantum logical gates on nonlocal nitrogen‐vacancy center ensembles (NVEs) is a basic task for universal quantum computing with NVEs. In contrast to previous works on the construction of gates, a one‐step all‐resonance scheme is proposed to construct a controlled‐phase gate on two nonlocal NVEs that are coupled to different superconducting transmission line resonators connected by a superconducting transmon qubit. The gate can be easily realized using only one step. Moreover, the all‐resonance operation allows the gate to be achieved within a short time. By considering the feasible parameters obtained in the experiments, this gate can be completed within 101 ns with a high fidelity of approximately 97.8%, which has reached the threshold of fault‐tolerance quantum computing.

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“…As the first stage, the conventional encoding methods have been proposed [12,[34][35][36][37][38][39][40][41][42][43][44], which require more resources of physical qubits. Then, other quantum control techniques are introduced in cooperating with NHQC, such as the composite scheme or dynamical decoupling strategy [45][46][47], the delib- * zyxue83@163.com erately optimal pulse control technique [48][49][50][51][52][53][54][55], and complex pulses target to shorten the gate-time [56][57][58][59][60], etc. However, these kinds of enhancement of gate robustness either need deliberate control of experimental pulse or greatly lengthen the gate-time.…”

Section: Introductionmentioning

confidence: 99%

Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity

Li,

Shen,

Chen

et al. 2021

Preprint

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High-fidelity quantum gates are essential for large-scale quantum computation. However, any quantum manipulation will inevitably affected by noises, systematic errors and decoherence effects, which lead to infidelity of a target quantum task. Therefore, implementing high-fidelity, robust and fast quantum gates is highly desired. Here, we propose a fast and robust scheme to construct high-fidelity holonomic quantum gates for universal quantum computation based on resonant interaction of three-level quantum systems via shortcuts to adiabaticity. In our proposal, the target Hamiltonian to induce noncyclic non-Abelian geometric phases can be inversely engineered with less evolution time and demanding experimentally, leading to high-fidelity quantum gates in a simple setup. Besides, our scheme is readily realizable in physical system currently pursued for implementation of quantum computation. Therefore, our proposal represents a promising way towards fault-tolerant geometric quantum computation.

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Searching nonadiabatic holonomic quantum gates via an optimization algorithm

Cited by 24 publications

References 61 publications

Experimental realization of nonadiabatic geometric gates with a superconducting Xmon qubit

Experimental realization of nonadiabatic geometric gates with a superconducting Xmon qubit

All‐Resonance Controlled‐Phase Gate on Two Nonlocal Nitrogen‐Vacancy Center Ensembles Assisted by a Superconducting Quantum Circuit

Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity

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