Abstract

Constructing a set of universal quantum gates is a fundamental task for quantum computation. The existence of noises, disturbances and fluctuations is unavoidable during the process of implementing quantum gates for most practical quantum systems. This paper employs a sampling-based learning method to find robust control pulses for generating a set of universal quantum gates. Numerical results show that the learned robust control fields are insensitive to disturbances, uncertainties and fluctuations during the process of realizing universal quantum gates.

Highlights

  • Quantum information technology has witnessed rapid development in the last twenty years[1]

  • Realizing such a universal gate set is a fundamental objective in quantum computation

  • It is inevitable that there exist different uncertainties, inaccuracies and disturbances in external fields, or system Hamiltonians[3,4,5,6]

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Summary

Introduction

Quantum information technology has witnessed rapid development in the last twenty years[1]. Dynamical decoupling[13,14,15] and noise filtering[16] have been developed for enhancing robustness performance in manipulating quantum states or quantum gates. Optimal control methods such as sequential convex programming[17] and gradient-based optimal algorithms (e.g., GRAPE18) can be used to design robust control fields for manipulating quantum systems. We apply a learning-based open-loop control method[19] to guide the design of robust control fields for construction of universal quantum gates. The quantum gates with the designed control fields can have improved robustness and reliability

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