Non-Abelian holonomic transformation in the presence of classical noise
arXiv:1701.08234 · doi:10.1103/PhysRevA.95.012334
Abstract
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 computing. The cyclic nature and the resulting gate operations are fully dependent on the precise control of driving parameters, such as the modulated envelop function of Rabi frequency and the control phases. We investigate the effects of fluctuations in these driving parameters on the transformation fidelity of a universal set of single-qubit quantum gates. We compare the damage effects from different noise sources and determine the "sweet spots" in the driving parameter space. The nonadiabatic non-Abelian quantum gate is found to be more susceptible to classical noises on the envelop function than that on the control phases. We also extend our study to a two-qubit quantum gate.
arXiv comment7 pages, 3 figures
References in corpus (29)
- Quantum computation with ions in thermal motion
- Holonomic Quantum Computation
- Geometric Manipulation of Trapped Ions for Quantum Computation
- Experimental Realization of Nonadiabatic Holonomic Quantum Computation
- Non-adiabatic holonomic quantum computation
- Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
- Detection of Geometric Phases in Superconducting Nanocircuits
- Implementation of universal quantum gates based on nonadiabatic geometric phases
- Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
- Non-Adiabatic Holonomic Quantum Computation in Decoherence-Free Subspaces
- Simple proof of equivalence between adiabatic quantum computation and the circuit model
- Holonomic quantum computation in decoherence-free subspaces
- Robustness of non-adiabatic holonomic gates
- Semiconductor-based Geometrical Quantum Gates
- Quantum Computation in Noiseless Subsystems with Fast Non-Abelian Holonomies
- Decoherence of geometric phase gates
- Fault-tolerant holonomic quantum computation
- Comparison of the sensitivity to systematic errors between non-adiabatic non-Abelian geometric gates and their dynamical counterparts
- Effect of noise on geometric logic gates for quantum computation
- Resonant Adiabatic Passage with Three Qubits
- A directly phase-modulated light source
- Validity of rotating wave approximation in non-adiabatic holonomic quantum computation
- Quantum computation in continuous time using dynamic invariants
- From quantum circuits to adiabatic algorithms
- Realization of Arbitrary Gates in Holonomic Quantum Computation
- Correction to the geometric phase by structured environments: the onset of non-Markovian effects
- Robustness against parametric noise of non ideal holonomic gates
- Experimental observation of carrier-envelope phase effects by multicycle pulses
- Gaussian and sinc shaped few-cycle pulse driven ultrafast coherent population transfer in lambda- like atomic systems
Cited by in corpus (28)
- Plug-and-Play Approach to Non-adiabatic Geometric Quantum Gates
- Experimental implementation of universal nonadiabatic geometric quantum gates in a superconducting circuit
- Single-Loop and Composite-Loop Realization of Nonadiabatic Holonomic Quantum Gates in a Decoherence-Free Subspace
- Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces
- Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates\\ with Optimal Control in a Trapped Ion
- Fast holonomic quantum computation on superconducting circuits with optimal control
- Fast holonomic quantum computation based on solid-state spins with all-optical control
- Robust paths to realize nonadiabatic holonomic gates
- Super-robust nonadiabatic geometric quantum control
- Dynamically Corrected Nonadiabatic Holonomic Quantum Gates
- Superrobust Geometric Control of a Superconducting Circuit
- Nonadiabatic geometric quantum computation with optimal control on superconducting circuits
- Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates with Two Dark Paths in a Trapped Ion
- Rabi-error and Blockade-error-resilient All-Geometric Rydberg Quantum Gates
- Universal speeded-up adiabatic geometric quantum computation in three-level systems via counterdiabatic driving
- Universal perspective on nonadiabatic quantum control
- Geometric quantum gates via dark paths in Rydberg atoms
- Shortcut Scheme for One-Step Implementation of a Three-Qubit Nonadiabatic Holonomic Gate
- Leakage Suppression for Holonomic Quantum Gates
- Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity
- Berry-phase-based quantum gates assisted by transitionless quantum driving
- Implementing conventional and unconventional nonadiabatic geometric quantum gates via SU(2) transformations
- Universal quantum control with dynamical correction
- Error-Resilient Floquet Geometric Quantum Computation
- Floquet geometric entangling gates in ground-state manifolds of Rydberg atoms
- Universal quantum control over Majorana zero modes
- Suppressing classical noise in the accelerated geometric phase gate by optimized dynamical decoupling
- Mitigation of systematic amplitude error in nonadiabatic holonomic operations