Extracting vacuum expectation values from approximate vacuum prepared by the adiabatic quantum computation

TL;DR

This paper introduces a method to extract vacuum expectation values from approximate quantum vacuums prepared via adiabatic quantum computation, utilizing hierarchical ancilla bits and demonstrated through simulations of simple quantum systems.

Contribution

It presents a novel procedure combining hierarchical ancilla bits with adiabatic quantum computation to accurately extract vacuum expectation values.

Findings

Successful simulation of one-qubit and two-qubits systems.

Effective hierarchical ancilla structure for precision enhancement.

Potential applicability to more complex quantum field models.

Abstract

We propose a procedure to extract vacuum expectation values from approximate vacuum prepared by the adiabatic quantum computation. We use plural ancilla bits with hierarchical structure, intending to gradually put up approximate precision. We exhibit simulation results for a typical one-qubit system and a two-qubits system based on the (1+1)-dimensional Schwinger model using classically emulated digital quantum simulator.