Experimentally accessible nonseparability criteria for multipartite-entanglement-structure detection
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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2023-01
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en
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12
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PHYSICAL REVIEW RESEARCH, Volume 5, issue 1, pp. 1-12
Abstract
The description of the complex separability structure of quantum states in terms of partially ordered sets has been recently put forward. In this work, we address the question of how to efficiently determine these structures for unknown states. We propose an experimentally accessible and scalable iterative methodology that identifies, on solid statistical grounds, sufficient conditions for nonseparability with respect to certain partitions. In addition, we propose an algorithm to determine the minimal partitions (those that do not admit further splitting) consistent with the experimental observations. We test our methodology experimentally on a 20-qubit IBM quantum computer by inferring the structure of the 4-qubit Smolin and an 8-qubit W state. In the first case, our results reveal that, while the fidelity of the state is low, it nevertheless exhibits the partitioning structure expected from the theory. In the case of the W state, we obtain very disparate results in different runs on the device, which range from nonseparable states to very fragmented minimal partitions with little entanglement in the system. Furthermore, our work demonstrates the applicability of informationally complete positive operator-valued measurements for practical purposes on current noisy intermediate-scale quantum devices.Description
Funding Information: We acknowledge the use of IBM Quantum services for this work. The views expressed are those of the authors, and do not reflect the official policy or position of IBM or the IBM Quantum team. G.G.-P., O.K., M.A.C.R., and S.M. acknowledge financial support from the Academy of Finland via the Centre of Excellence program (Project no. 336810 and 336814). G.G.-P. acknowledges support from the Academy of Finland via the Postdoctoral Researcher program (Project no. 341985). O.K. acknowledges financial support from the Turku University Foundation.
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García-Pérez, G, Kerppo, O, Rossi, M A C & Maniscalco, S 2023, ' Experimentally accessible nonseparability criteria for multipartite-entanglement-structure detection ', PHYSICAL REVIEW RESEARCH, vol. 5, no. 1, 013226, pp. 1-12 . https://doi.org/10.1103/PhysRevResearch.5.013226