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In this work, we derive analytic formulae that determine the effect of error mechanisms on one- and two-qubit gates in trapped ions and electrons. First, we analyze, and derive expressions for, the effect of driving field inhomogeneities on…

量子物理 · 物理学 2022-03-14 R. Tyler Sutherland , Qian Yu , Kristin M. Beck , Hartmut Häffner

As quantum circuits become more integrated and complex, additional error sources that were previously insignificant start to emerge. Consequently, the fidelity of quantum gates benchmarked under pristine conditions falls short of predicting…

We review our work on the interplay between non-resonant gates and solid state environment in various solid state quantum computer architectures and the resulting gate errors. Particular, we show that adiabatic condition can be satisfied in…

介观与纳米尺度物理 · 物理学 2007-05-23 Xuedong Hu , S. Das Sarma

One of the largest obstacles to building a quantum computer is gate error, where the physical evolution of the state of a qubit or group of qubits during a gate operation does not match the intended unitary transformation. Gate error stems…

量子物理 · 物理学 2018-02-07 Eliot Kapit

Quantum computers based on rare-earth-ion-doped crystals show promising properties in terms of scalability and connectivity if single ions can be used as qubits. Through simulations, we investigate gate operations on such qubits and discuss…

量子物理 · 物理学 2021-12-15 Adam Kinos , Lars Rippe , Stefan Kröll , Andreas Walther

High-dimensional quantum computing has generated significant interest due to its potential to address scalability and error correction challenges faced by traditional qubit-based systems. This paper investigates the Average Gate Fidelity…

We show how a robust high-fidelity universal set of quantum gates can be implemented using a single form of non-adiabatic rapid passage whose parameters are optimized to maximize gate fidelity and reward gate robustness. Each gate in the…

量子物理 · 物理学 2015-05-27 Ran Li , Frank Gaitan

Quantum information processing faces a significant hurdle: noise. Different noise sources induce varying errors in quantum operations depending on the underlying dynamics. To gain a deeper understanding of these error mechanisms, we…

量子物理 · 物理学 2025-05-02 Yong-Ju Hai , Junning Li , Junkai Zeng , Xiu-Hao Deng

Nonadiabatic holonomic quantum computation (NHQC) leverages non-Abelian geometric phases within a nonadiabatic framework to achieve fast and robust quantum gate operations. However, the practical implementation of NHQC is challenged by the…

量子物理 · 物理学 2025-09-17 Hai Xu , Wanchun Li , Tao Chen , Kejin Wei , Chengxian Zhang

When a quantum system is driven adiabatically through a parametric cycle in a degenerate Hilbert space, the state would acquire a non-Abelian geometric phase, which is stable and forms the foundation for holonomic quantum computation (HQC).…

Quantum coherent control of a quantum system with high-fidelity is rather important in quantum computation and quantum information processing. There are many control techniques to reach these targets, such as resonant excitation, adiabatic…

量子物理 · 物理学 2023-03-09 Hang Xu , Xue-Ke Song , Dong Wang , Liu Ye

Geometric phases are well known to be noise-resilient in quantum evolutions/operations. Holonomic quantum gates provide us with a robust way towards universal quantum computation, as these quantum gates are actually induced by nonabelian…

量子物理 · 物理学 2018-05-11 Zhuo-Ping Hong , Bao-Jie Liu , Jia-Qi Cai , Xin-Ding Zhang , Yong Hu , Z. D. Wang , Zheng-Yuan Xue

In holonomic quantum computation, single-qubit gates are performed using driving protocols that trace out closed loops on the Bloch sphere, making them robust to certain pulse errors. However, dephasing noise that is transverse to the…

量子物理 · 物理学 2021-09-01 Wenzheng Dong , Fei Zhuang , Sophia E. Economou , Edwin Barnes

Quantum gates (unitary gates) on physical systems are usually implemented by controlling the Hamiltonian dynamics. When full descriptions of the Hamiltonians parameters is available, the set of implementable quantum gates is easily…

量子物理 · 物理学 2019-10-16 Ryosuke Sakai , Akihito Soeda , Mio Murao , Daniel Burgarth

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…

量子物理 · 物理学 2019-11-14 E. Ferraro , M. Fanciulli , M. De Michielis

Numerical simulation results are presented which suggest that a class of non-adiabatic rapid passage sweeps first realized experimentally in 1991 should be capable of implementing a set of quantum gates that is universal for one-qubit…

量子物理 · 物理学 2007-06-20 Ran Li , Melique Hoover , Frank Gaitan

Precise quantum control relies on a deep understanding of the dynamics of quantum systems under external drives. This study investigates the impact of anharmonicity on qubit dynamics under conditions typical for two-qubit entangling gates…

Non-adiabatic holonomic quantum computation is a method used to implement high-speed quantum gates with non-Abelian geometric phases associated with paths in state space. Due to their noise tolerance, these phases can be used to construct…

量子物理 · 物理学 2022-12-06 Tomas André , Erik Sjöqvist

A simple protocol based on low-weight Pauli Hamiltonians is introduced for performing quantum gates that are robust to control noise. Gates are implemented by an adiabatic sequence of single-qubit fields and two-qubit interactions with a…

量子物理 · 物理学 2017-11-03 Ryan J. Epstein

We examine the adiabatic dynamics of a quantum system coupled to a noisy classical control field. A stochastic phase shift is shown to arise in the off-diagonal elements of the system's density matrix which can cause decoherence. We derive…

量子物理 · 物理学 2007-05-23 Frank Gaitan