Remark on using quantum states prepared by the adiabatic quantum computation

TL;DR

This paper discusses the limitations of using adiabatically prepared quantum states, highlighting that proximity in expectation values does not guarantee closeness to the true vacuum, and suggests methods to reduce systematic differences.

Contribution

It provides insights into the potential pitfalls of adiabatic quantum state preparation and proposes strategies to improve the accuracy of the prepared states.

Findings

Expectation values may not reflect true state closeness.

Time averaging can reduce systematic errors.

Simple model demonstrates error mitigation techniques.

Abstract

We indicate that there are points to keep in mind in utilizing quantum states prepared by the adiabatic quantum computation. Even if an instantaneous expectation value of a physical quantity for the adiabatically prepared quantum state is close to an expectation value for the true vacuum, this does not assure us that the prepared vacuum is close to the true vacuum. In general time average of the expectation value tend to systematically differ from the true value. Using a simple model we discuss how to diminish this systematic difference.