General approach for constructing Hamiltonians for nonadiabatic holonomic quantum computation

TL;DR

This paper presents a general method for constructing Hamiltonians in nonadiabatic holonomic quantum computation to minimize evolution time, aiming to enhance gate fidelity by reducing environmental noise effects.

Contribution

The paper introduces a novel, general approach for Hamiltonian construction in nonadiabatic holonomic quantum computation to shorten gate operation times.

Findings

Method reduces evolution time for holonomic gates

Potential to improve gate fidelity against noise

Framework applicable to various quantum systems

Abstract

The main challenges in achieving high-fidelity quantum gates are to reduce the influence of control errors caused by imperfect Hamiltonians and the influence of decoherence caused by environment noise. To overcome control errors, a promising proposal is nonadiabatic holonomic quantum computation, which has attracted much attention in both theories and experiments. While the merit of holonomic operations resisting control errors has been well exploited, an important issue following is how to shorten the evolution time needed for realizing a holonomic gate so as to avoid the influence of environment noise as much as possible. In this paper, we put forward a general approach of constructing Hamiltonians for nonadiabatic holonomic quantum computation, which makes it possible to minimize the evolution time and might open a new horizon for the realistic implementation of nonadiabatic holonomic quantum computation.