Realization of holonomic single-qubit operations

Abstract

Universal single-qubit operations based on purely geometric phase factors in adiabatic processes are demonstrated by utilizing a four-level system in a trapped single ${}^{40}$Ca${}^{+}$ ion connected by three oscillating fields. Robustness against parameter variations is studied. The scheme demonstrated here can be employed as a building block for large-scale holonomic quantum computations, which may be useful for large qubit systems with statistical variations in system parameters.

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Cited by in corpus (46)

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• Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates\\ with Optimal Control in a Trapped Ion
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• A Fault-Tolerant Scheme of Holonomic Quantum Computation on Stabilizer Codes with Robustness to Low-weight Thermal Noise
• Realization of universal nonadiabatic geometric control on decoherence-free qubits in the XY model
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• Geometric Phase in Quantum Synchronization
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• Holonomic quantum manipulation in the Weyl Disk
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• Geometric Ramsey Interferometry with a Tripod Scheme
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