Abstract
We introduce the concept of pairwise tomography networks to characterize 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.
| Original language | English |
|---|---|
| Article number | 023393 |
| Number of pages | 9 |
| Journal | Physical Review Research |
| Volume | 2 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 24 Jun 2020 |
| MoE publication type | A1 Journal article-refereed |
Funding
We acknowledge the use of IBM Q devices for this paper. The views expressed are those of the authors and do not reflect the official policy or position of IBM or the IBM Q team. G.G.-P., M.A.C.R., B.S., and S.M. acknowledge financial support from the Academy of Finland via the Centre of Excellence program (Project No. 312058). G.G.-P. acknowledges support from the emmy.network foundation under the aegis of the Fondation de Luxembourg. B.S. acknowledges financial support from the Jenny and Antti Wihuri Foundation.
Keywords
- ENTANGLEMENT
- STATE