Composite nonadiabatic holonomic quantum computation

Abstract

Nonadiabatic holonomic quantum computation has robust feature in suppressing control errors because of its holonomic feature. However, this kind of robust feature is challenged since the usual way of realizing nonadiabatic holonomic gates introduces errors due to systematic errors in the control parameters. To resolve this problem, we here propose a composite scheme to realize nonadiabatic holonomic gates. Our scheme can suppress systematic errors while preserving holonomic robustness. It is particularly useful when the evolution period is shorter than the coherence time. We further show that our composite scheme can be protected by decoherence-free subspaces. In this case, the strengthened robust feature of our composite gates and the coherence stabilization virtue of decoherence-free subspaces are combined.

6 pages, 1 figure

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Cited by in corpus (30)

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• 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
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• Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates with Two Dark Paths in a Trapped Ion
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• Shortcut Scheme for One-Step Implementation of a Three-Qubit Nonadiabatic Holonomic Gate
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• Universal Robust Geometric Quantum Control via Geometric Trajectory Correction
• Non-adiabatic holonomic quantum operations in continuous variable systems
• Robust Nonadiabatic Holonomic Quantum Gates on Decoherence-Protected Qubits
• Accelerating quantum adiabatic evolution with $\pi$-pulse sequences
• Nonadiabatic braiding of Majorana modes
• Dynamical-Corrected Nonadiabatic Geometric Quantum Computation
• Mitigation of systematic amplitude error in nonadiabatic holonomic operations
• Geometric and holonomic quantum computation