Pairwise tomography networks for many-body quantum systems

TL;DR

The paper introduces pairwise tomography networks for efficiently characterizing quantum correlations in many-body systems, with an experimental protocol and proof-of-principle demonstration on IBM Q devices.

Contribution

It presents a novel framework for measuring quantum properties in many-body systems using pairwise tomography networks, with an exponential efficiency improvement and experimental validation.

Findings

Efficient measurement protocol for pairwise quantum correlations.

Demonstration of pairwise tomography networks on IBM Q devices.

Potential applications in quantum computation, communication, and simulation.

Abstract

We introduce the concept of pairwise tomography networks to characterise quantum properties in many-body systems and demonstrate an efficient protocol to measure them experimentally. Pairwise tomography networks are generators of multiplex networks where each layer represents the graph of a relevant quantifier such as, e.g., concurrence, quantum discord, purity, quantum mutual information, or classical correlations. We propose a measurement scheme to perform two-qubit tomography of all pairs showing exponential improvement in the number of qubits $N$ with respect to previously existing methods. We illustrate the usefulness of our approach by means of several examples revealing its potential impact to quantum computation, communication and simulation. We perform a proof-of-principle experiment demonstrating pairwise tomography networks of $W$ states on IBM Q devices.