Improving approximate vacuum prepared by the adiabatic quantum computation

TL;DR

This paper proposes a procedure to enhance the quality of approximate vacuums obtained via adiabatic quantum computation, addressing practical limitations like finite time and discrete steps.

Contribution

The paper introduces a novel method to improve approximate vacuums in adiabatic quantum simulation, accounting for real-world finite-time and step-size constraints.

Findings

Improved vacuum fidelity demonstrated in simulations

Method reduces excited state contamination

Enhances practical applicability of adiabatic quantum algorithms

Abstract

According to the quantum adiabatic theorem, we can in principle obtain a true vacuum of a quantum system starting from a trivial vacuum of a simple Hamiltonian. In actual adiabatic digital quantum simulation with finite time length and non-infinitesimal time steps, we can only obtain an approximate vacuum that is supposed to be a superposition of a true vacuum and excited states. We propose a procedure to improve the approximate vacuum.