Pairwise tomography networks for many-body quantum systems

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.

arXiv commentAccepted version

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• Dual frame optimization for informationally complete quantum measurements
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Emergent entanglement structures and self-similarity in quantum spin chains
• A quantum procedure for map generation
• User-friendly confidence regions for quantum state tomography
• Local quantum overlapping tomography
• Optimizing quantum measurements by partitioning multisets of observables
• Response of quantum spin networks to attacks
• Robustness of Aharonov-Bohm cages in quantum walks
• Mitigation of correlated readout errors without randomized measurements
• Unveiling hidden features of the Kitaev model through a complex-network analysis