Single-shot realization of nonadiabatic holonomic gates with a superconducting Xmon qutrit

Zhang, Zhenxing; Zhao, P. Z.; Wang, Tenghui; Xiang, Liang; Jia, Zhimin; Duan, Peng; Tong, D. M.; Yin, Yi; Guo, Guo-Ping

doi:10.1088/1367-2630/ab2e26

Cited by 45 publications

(30 citation statements)

References 54 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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: 94%

“…The superconducting circuit provides an appealing solidstate platform for the implementation of quantum computation due to the nano-fabrication technology scalability, individual qubit addressability and the increasing coherence time. As a charge-insensitive superconducting qubit [60], the transmon has been used for the experimental realization of nonadiabatic holonomic one-qubit gates [40][41][42][43], where the three lowest levels with cascaded configuration are used as a quantum system. However, the second excited state of transmons has a relatively short coherence time, which results in a decreased fidelity of quantum gates.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Experimental realization of nonadiabatic geometric gates with a superconducting Xmon qubit

Zhao

Dong

Zhang

et al. 2021

Sci. China Phys. Mech. Astron.

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Experimental realization of nonadiabatic geometric gates with a superconducting Xmon qubit

Zhao

Dong

Zhang

et al. 2021

Sci. China Phys. Mech. Astron.

Self Cite

View full text Add to dashboard Cite

show abstract

“…These studies further enrich the NHQC dynamics and make it being a hot research topic in quantum computation. Experimentally, NHQC has been demonstrated with nuclear magnetic resonance [76][77][78], superconducting circuits [79][80][81][82][83][84], and nitrogen-vacancy centers in diamond [85][86][87][88][89][90]. Besides, the schemes [91] combining geometric quantum computation with shortcut-toadiabaticity [92], called NHQC+, have also been studied theoretically [93] and experimentally [83].…”

Section: Introductionmentioning

confidence: 99%

Optimized geometric quantum computation with a mesoscopic ensemble of Rydberg atoms

et al. 2020

View full text Add to dashboard Cite

We propose a nonadiabatic non-Abelian geometric quantum operation scheme to realize universal quantum computation with mesoscopic Rydberg atoms. A single control atom entangles a mesoscopic ensemble of target atoms through long-range interactions between Rydberg states. We demonstrate theoretically that both the single qubit and two-qubit quantum gates can achieve high fidelities around or above 99.9% in ideal situations. Besides, to address the experimental issue of Rabi frequency fluctuation (Rabi error) in Rydberg atom and ensemble, we apply the dynamical-invariantbased zero systematic-error sensitivity (ZSS) optimal control theory to the proposed scheme. Our numerical simulations show that the average fidelity could be 99.98% for single ensemble qubit gate and 99.94% for two-qubit gate even when the Rabi frequency of the gate laser acquires 10% fluctuations. We also find that the optimized scheme can also reduce errors caused by higher-order perturbation terms in deriving the Hamiltonian of the ensemble atoms. To address the experimental issue of decoherence error between the ground state and Rydberg levels in Rydberg ensemble, we introduce a dispersive coupling regime between Rydberg and ground levels, based on which the Rydberg state is adiabatically discarded. The numerical simulation demonstrate that the quantum gate is enhanced. By combining strong Rydberg atom interactions, nonadiabatic geometric quantum computation, dynamical invariant and optimal control theory together, our scheme shows a new route to construct fast and robust quantum gates with mesoscopic atomic ensembles. Our study contributes to the ongoing effort in developing quantum information processing with Rydberg atoms trapped in optical lattices or tweezer arrays.

show abstract

“…For experimental realization of off-resonant nonadiabatic holonomic gates, see Refs. [13][14][15][16].The nonadiabatic version of HQC avoids the drawback of the long run time associated with adiabatic holonomies [17], on which the original holonomic schemes are based [1,18]. Nonadiabatic holonomic gates are therefore particularly suitable to avoid unwanted decoherence effects [19].…”

mentioning

confidence: 99%

“…For experimental realization of off-resonant nonadiabatic holonomic gates, see Refs. [13][14][15][16].…”

mentioning

confidence: 99%

Environment-Assisted Holonomic Quantum Maps

Ramberg

Sjöqvist

2019

Phys. Rev. Lett.

View full text Add to dashboard Cite

Holonomic quantum computation uses non-Abelian geometric phases to realize error resilient quantum gates. Nonadiabatic holonomic gates are particularly suitable to avoid unwanted decoherence effects, as they can be performed at high speed. By letting the computational system interact with a structured environment, we show that the scope of error resilience of nonadiabatic holonomic gates can be widened to include systematic parameter errors. Our scheme maintains the geometric properties of the evolution and results in an environmentassisted holonomic quantum map that can mimic the effect of a holonomic gate. We demonstrate that the sensitivity to systematic errors can be reduced in a proof-of-concept spin-bath model.Quantum holonomies are non-Abelian (non-commuting) unitary operators that only depend on paths in state space of a quantum system. The non-commuting property makes them useful for implementing quantum gates that manipulate quantum information by purely geometric means. Holonomic quantum computation (HQC) [1] is a network of holonomic gates that unifies geometric characteristics of quantum systems and information processing, as well as is conjectured to be robust to errors in experimental control parameters [2].Nonadiabatic HQC has recently been proposed [3] and experimentally implemented [4-9] as a tool to realize quantum gates based upon nonadiabatic non-Abelian geometric phases [10]. The basic setup for nonadiabatic HQC in [3] is a threelevel Λ configuration, where two simultaneous resonant laser pulses drive transitions between the qubit levels and an auxiliary state level. This scheme has been generalized to offresonant pulses [11,12]. The off-resonant setup uses two simultaneous laser pulses with the same variable detuning, which enhances the flexibility of the holonomic scheme. For experimental realization of off-resonant nonadiabatic holonomic gates, see Refs. [13][14][15][16].The nonadiabatic version of HQC avoids the drawback of the long run time associated with adiabatic holonomies [17], on which the original holonomic schemes are based [1,18]. Nonadiabatic holonomic gates are therefore particularly suitable to avoid unwanted decoherence effects [19]. The resilience to decoherence errors can be further improved by combining nonadiabatic HQC with decoherence-free subspaces [20-23] and subsystems [24], as well as dynamical decoupling [25-27]. On the other hand, it has been pointed out [28] that the original version of nonadiabatic HQC has no particular advantage compared to standard dynamical schemes in the presence of systematic errors in experimental parameters. To deal with this, we here show that the sensitivity to systematic parameter errors can be reduced by letting the system interact with a structured environment. Our approach is inspired by earlier findings [29][30][31] that transport efficiency in quantum systems can be enhanced in such environments.We modify the off-resonant non-adiabatic holonomic scheme by coupling the auxiliary state to a finite thermal bath, the latter playing t...

show abstract

Single-shot realization of nonadiabatic holonomic gates with a superconducting Xmon qutrit

Cited by 45 publications

References 54 publications

Experimental realization of nonadiabatic geometric gates with a superconducting Xmon qubit

Experimental realization of nonadiabatic geometric gates with a superconducting Xmon qubit

Optimized geometric quantum computation with a mesoscopic ensemble of Rydberg atoms

Environment-Assisted Holonomic Quantum Maps

Contact Info

Product

Resources

About