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We analyse non-adiabatic non-Abelian holonomic transformations of spin-qubits confined to a linear time dependent harmonic trap with time dependent Rashba interaction. For this system exact results can be derived for spin rotation angle…

Mesoscale and Nanoscale Physics · Physics 2019-12-03 Lara Ulcakar , Anton Ramsak

It is proposed that high-speed universal quantum gates can be realized by using non-Abelian holonomic transformation. A cyclic evolution path which brings the system periodically back to a degenerate qubit subspace is crucial to holonomic…

Quantum Physics · Physics 2017-01-31 Jun Jing , Chi-Hang Lam , Lian-Ao Wu

We consider exactly solvable manipulation of spin-qubits confined in a moving harmonic trap and in the presence of the time dependent Rashba interaction. Non-adiabatic Anandan phase for cyclic time evolution is compared to the Wilczek-Zee…

Mesoscale and Nanoscale Physics · Physics 2018-10-02 A. Ramsak , T. Cadez , A. Kregar , L. Ulcakar

High-fidelity manipulation is the key for the physical realization of fault-tolerant quantum computation. Here, we present a protocol to realize universal nonadiabatic geometric gates for silicon-based spin qubits. We find that the…

Quantum Physics · Physics 2020-05-06 Chengxian Zhang , Tao Chen , Sai Li , Xin Wang , Zheng-Yuan Xue

We investigate the effects of systematic errors of the control parameters on single-qubit gates based on non-adiabatic non-Abelian geometric holonomies and those relying on purely dynamical evolution. It is explicitly shown that the…

Quantum Physics · Physics 2016-04-07 Shi-Biao Zheng , Chui-Ping Yang , Franco Nori

Recent work on Ising-coupled double-quantum-dot spin qubits in GaAs with voltage-controlled exchange interaction has shown improved two-qubit gate fidelities from the application of oscillating exchange along with a strong magnetic field…

Mesoscale and Nanoscale Physics · Physics 2019-02-06 R. K. L. Colmenar , J. P. Kestner

We provide a unified geometrical description for analyzing the stability of holonomic quantum gates in the presence of imprecise driving controls (parametric noise). We consider the situation in which these fluctuations do not affect the…

Quantum Physics · Physics 2012-09-11 P Solinas , M Sassetti , P Truini , N Zanghi

We study theoretically the responses of the dynamically corrected gates to time-dependent noises in the exchange-only spin qubit system. We consider $1/f$ noises having spectra proportional to $1/\omega^\alpha$, where the exponent $\alpha$…

Mesoscale and Nanoscale Physics · Physics 2016-10-21 Chengxian Zhang , Xu-Chen Yang , Xin Wang

Addressing and mitigating decoherence sources plays an essential role in the development of a scalable quantum computing system, which requires low gate errors to be consistently maintained throughout the circuit execution. While nuclear…

Unitary quantum gates constitute the building blocks of Quantum Computing in the circuit paradigm. In this work, we engineer a locally driven two-qubit Hamiltonian whose instantaneous ground-state dynamics generates the controlled-NOT…

Holonomic gates for quantum computation are commonly considered to be robust against certain kinds of parametric noise, the very motivation of this robustness being the geometric character of the transformation achieved in the adiabatic…

Quantum Physics · Physics 2007-07-19 Cosmo Lupo , Paolo Aniello , Mario Napolitano , Giuseppe Florio

A comparison of gate fidelities between different spin qubit types defined in quantum dots and a donor under different control errors is reported. We studied five qubit types, namely the quantum dot spin qubit, the double quantum dot…

Quantum Physics · Physics 2019-11-14 E. Ferraro , M. Fanciulli , M. De Michielis

Inevitable interactions with the reservoir largely degrade the performance of non-local gates, which hinders practical quantum computation from coming into existence. Here we experimentally demonstrate a 99.920(7)\%-fidelity controlled-NOT…

Quantum Physics · Physics 2022-12-07 Tianyu Xie , Zhiyuan Zhao , Shaoyi Xu , Xi Kong , Zhiping Yang , Mengqi Wang , Ya Wang , Fazhan Shi , Jiangfeng Du

Semiconductor spin qubits may be coupled through a superconducting cavity to generate an entangling two-qubit gate. However, the fidelity of such an operation will be reduced by a variety of error mechanisms such as charge and magnetic…

Mesoscale and Nanoscale Physics · Physics 2023-07-06 Steve M. Young , N. Tobias Jacobson , Jason R. Petta

The adiabatic evolution is the dynamics of an instantaneous eigenstate of a slowly varing Hamiltonian. Recently, an interesting phenomenon shows up that white noises can enhance and even induce adiabaticity, which is in contrast to previous…

Quantum Physics · Physics 2018-05-02 B X Wang , T Xin , X Y Kong , Sh J Wei , D Ruan , G L Long

The fidelity of gate operations on neutral atom qubits is often limited by fluctuations of the laser drive. Here, we quantify the sensitivity of quantum gate fidelities to laser phase and intensity noise. We first develop models to identify…

Quantum Physics · Physics 2023-04-26 X. Jiang , J. Scott , Mark Friesen , M. Saffman

Charge noise has been one of the main issues in realizing high fidelity two-qubit quantum gates in semiconductor based qubits. Here, we study the influence of quasistatic noise in quantum dot detuning on the controlled phase gate for spin…

Mesoscale and Nanoscale Physics · Physics 2023-12-21 Yinan Fang

Scaling up quantum computing hardware is hindered by the narrow operating margins of current quantum components. Here, we introduce a composite qubit and gate scheme that achieves wide margins by use of transistor-like nonlinearities to…

Quantum Physics · Physics 2022-02-23 Ryan J. Epstein

Several logical qubits and quantum gates have been proposed for semiconductor quantum dots controlled by voltages applied to top gates. The different schemes can be difficult to compare meaningfully. Here we develop a theoretical framework…

Mesoscale and Nanoscale Physics · Physics 2013-12-09 Teck Seng Koh , S. N. Coppersmith , Mark Friesen

Optimal working points or "sweet spots" have arisen as an important tool for mitigating charge noise in quantum dot logical spin qubits. The exchange-only qubit provides an ideal system for studying this effect because $Z$ rotations are…

Mesoscale and Nanoscale Physics · Physics 2015-08-25 Jianjia Fei , Jo-Tzu Hung , Teck Seng Koh , Yun-Pil Shim , S. N. Coppersmith , Xuedong Hu , Mark Friesen
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