Error characterization in Quantum Information Processing: a protocol for analyzing spatial correlations and its experimental implementation

TL;DR

This paper introduces a protocol for characterizing errors in quantum information processing, focusing on spatial correlations, and demonstrates its experimental implementation with 4 qubits in liquid state NMR.

Contribution

The paper presents a scalable protocol for error characterization of spatial correlations in quantum systems, with practical implementation details.

Findings

Protocol successfully characterizes spatial correlations in 4-qubit NMR system.

Scales as O(n^w), efficient for systems with limited interaction range.

Provides insights into error sources and their spatial structure.

Abstract

We present a protocol for error characterization and its experimental implementation with 4 qubits in liquid state NMR. The method is designed to retrieve information about spatial correlations and scales as $O(n^w)$, where $w$ is the maximum number of qubits that have non-negligible interaction. We discuss the practical aspects regarding accuracy and implementation.