Experimental demonstration of suppressing residual geometric dephasing

Cui, Jin-Ming; Ai, Ming-Zhong; He, Ran; Qian, Zhong-Hua; Qin, Xiao-Ke; Huang, Yun‐Feng; Zhou, Zheng-Wei; Li, Chuan‐Feng; Tu, Tao; Guo, Guang‐Can

doi:10.1016/j.scib.2019.09.007

Cited by 9 publications

(5 citation statements)

References 36 publications

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“…In contrast, our approach has the advantages that corrects both amplitude and detuning noise errors while being sufficiently flexible for incorporation into arbitrary gate operations. We also note that in the NMR field, recently a number of methods have been developed to suppress the noises by topological DD method 47 – 49 , or by eliminating the errors in the synthesizers 50 – 52 .…”

Section: Discussionmentioning

confidence: 99%

A noise-resisted scheme of dynamical decoupling pulses for quantum memories

Gong

Zhu

et al. 2020

Sci Rep

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Stable quantum memories that capable of storing quantum information for long time scales are an essential building block for an array of potential applications. The long memory time are usually achieved via dynamical decoupling technique involving decoupling of the memory states from its local environment. However, because this process is strongly limited by the errors in the pulses, an noise-protected scheme remains challenging in the field of quantum memories. Here we propose a scheme to design a noise-resisted $$\pi$$ π pulse, which features high fidelity exceeding $$99.9\%$$ 99.9 % under realistic situations. Using this $$\pi$$ π pulse we can generate different dynamical decoupling sequences that preserve high fidelity for long time scales. The versatility, robustness, and potential scalability of this method may allow for various applications in quantum memories technology.

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Section: Discussionmentioning

confidence: 99%

A noise-resisted scheme of dynamical decoupling pulses for quantum memories

Gong

Zhu

et al. 2020

Sci Rep

Self Cite

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“…( 1) for the lack of an analytical solution. It is popular to see the application of the rotating-wave approximation (RWA) in the previous treatments [14,33,34]. With respect to the unitary transformation…”

Section: A More Accurate Effective Hamiltonianmentioning

confidence: 99%

“…where we omitted the contribution up to the second-order of O(Ω 2 R ) and the first-order derivative of the driving parameters with respect to time [14,34] under the assump-…”

Section: A More Accurate Effective Hamiltonianmentioning

confidence: 99%

“…The quantum geometric phase [8][9][10][11][12], which is accumulated when the system is moving in the parameter space, has intrinsic tolerant property and is robust against certain fluctuations during the trajectory. The geometric quantum computation is therefore appealing and becoming feasible in many experimental platforms, including the trapped ions [13,14], the nuclear magnetic resonance [15,16], and the superconducting circuits [17,18].…”

Section: Introductionmentioning

confidence: 99%

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Suppressing classical noise in the accelerated geometric phase gate by optimized dynamical decoupling

Chen,

Jing

2022

Preprint

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“…Geometric quantum computation has been originally proposed to accumulate a geometric phase adiabatically, requiring long operation time so that the quantum information can be destructed by decoherence. Thus, nonadiabatic geometric quantum computation aims at shortening the operation time without loss of fidelity, which is experimentally demonstrated [8,[14][15][16][17][18][19] in both Abelian [20][21][22][23] and non-Abelian cases [24,25]. However, the systematic errors induced by inaccurate driving fields harm the performance of geometric gates [26,27], which should be further optimized by quantum control techniques.…”

Section: Introductionmentioning

confidence: 99%

Digital Quantum Simulation of Nonadiabatic Geometric Gates via Shortcuts to Adiabaticity

Wang

Ding

Wang

et al. 2020

Entropy

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Geometric phases are used to construct quantum gates since it naturally resists local noises, acting as the modularized units of geometric quantum computing. Meanwhile, fast nonadiabatic geometric gates are required for reducing the information loss induced by decoherence. Here, we propose a digital simulation of nonadiabatic geometric quantum gates in terms of shortcuts to adiabaticity (STA). More specifically, we combine the invariant-based inverse engineering with optimal control theory for designing the fast and robust Abelian geometric gates against systematic error, in the context of two-level qubit systems. We exemplify X and T gates, in which the fidelities and robustness are evaluated by simulations in ideal quantum circuits. Our results can also be extended to constructing two-qubit gates, for example, a controlled-PHASE gate, which shares the equivalent effective Hamiltonian with rotation around the Z-axis of a single qubit. These STA-inspired nonadiabatic geometric gates can realize quantum error correction physically, leading to fault-tolerant quantum computing in the Noisy Intermediate-Scale Quantum (NISQ) era.

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Experimental demonstration of suppressing residual geometric dephasing

Cited by 9 publications

References 36 publications

A noise-resisted scheme of dynamical decoupling pulses for quantum memories

A noise-resisted scheme of dynamical decoupling pulses for quantum memories

Suppressing classical noise in the accelerated geometric phase gate by optimized dynamical decoupling

Digital Quantum Simulation of Nonadiabatic Geometric Gates via Shortcuts to Adiabaticity

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