Characterizing measurement-based quantum gates in quantum many-body systems using correlation functions

TL;DR

This paper introduces a method to evaluate quantum gate performance in measurement-based quantum computation by analyzing correlation functions on the resource state, linking measurement sequences to gate fidelity.

Contribution

It proposes a novel approach to quantify quantum gate performance in MBQC through correlation functions, providing a practical tool for assessing quantum resources.

Findings

Correlation functions effectively characterize gate performance

Method applies to various resource states in MBQC

Enhances understanding of measurement-based quantum gates

Abstract

In measurement-based quantum computation (MBQC), local adaptive measurements are performed on the quantum state of a lattice of qubits. Quantum gates are associated with a particular measurement sequence, and one way of viewing MBQC is that such a measurement sequence prepares a resource state suitable for `gate teleportation'. We demonstrate how to quantify the performance of quantum gates in MBQC by using correlation functions on the pre-measurement resource state.