Brachistochrone Non-Adiabatic Holonomic Quantum Control

• URL: http://arxiv.org/abs/2001.05182v4
• Date: Sat, 27 Feb 2021 08:53:39 GMT
• Title: Brachistochrone Non-Adiabatic Holonomic Quantum Control
• Authors: Bao-Jie Liu, Zheng-Yuan Xue, Man-Hong Yung
• Abstract summary: Non-adiabatic holonomic quantum computation (NHQC) is limited by the fact that all of the operations require exactly the same amount of evolution time. We present an unconventional approach of NHQC, termed brachistochronic NHQC, for bypassing these limitations.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In quantum control, geometrical operations could provide an extra layer of robustness against control errors. However, the conventional non-adiabatic holonomic quantum computation (NHQC) is limited by the fact that all of the operations require exactly the same amount of evolution time, even for a small-angle rotation. Furthermore, NHQC confines the driving part of the Hamiltonian to strictly cover a fixed pulse area, making it sensitive to control errors. Here we present an unconventional approach of NHQC, termed brachistochronic NHQC, for bypassing these limitations. Specifically, with B-NHQC, non-Abelian geometric gates can be time-optimized by following the brachistochrone curve, minimizing the impact from the environmental decoherence. Additionally, we demonstrate that B-NHQC is compatible with composed pulses, which can further enhance the robustness against pulse errors. For benchmarking, we provide a thorough analysis on the performance of B-NHQC under experimental conditions; we found that the gate error can be reduced by as much as 64% compared with NHQC.

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