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This paper resolves the local distinguishability of five quadripartite orthogonal product states, establishing that 355 out of 371 specific orthogonality graph cases can be perfectly distinguished via LOCC while the remaining 16 cannot. The findings advance the theoretical understanding of nonlocality in multipartite quantum systems by providing a complete classification based on pairwise orthogonality relations.
Local distinguishability of five quadripartite orthogonal product states
arXiv:2610.29622v1 Announce Type: new Abstract: The local distinguishability of five bipartite and tripartite orthogonal product states (OPSs) has been effectively resolved, while that of five quadripartite OPSs has not yet been effectively addressed. In this paper, we give the local distinguishability of five quadripartite OPSs, where any two of these five states are orthogonal on exactly one subsystem. Based on the vectors of the numbers of pairwise orthogonality relations, we classify different sets of five quadripartite OPSs into nine categories, which correspond to 371 distinct orthogonality graphs. We show that the sets of five quadripartite OPSs corresponding to 355 of the 371 cases can be perfectly distinguished by local operations and classical communication (LOCC), whereas the sets of five quadripartite OPSs for the remaining 16 cases cannot exactly distinguished by LOCC. Our results enrich the theory of nonlocality for sets of OPSs.
Abstract:The local distinguishability of five bipartite and tripartite orthogonal product states (OPSs) has been effectively resolved, while that of five quadripartite OPSs has not yet been effectively addressed. In this paper, we give the local distinguishability of five quadripartite OPSs, where any two of these five states are orthogonal on exactly one subsystem. Based on the vectors of the numbers of pairwise orthogonality relations, we classify different sets of five quadripartite OPSs into nine categories, which correspond to 371 distinct orthogonality graphs. We show that the sets of five quadripartite OPSs corresponding to 355 of the 371 cases can be perfectly distinguished by local operations and classical communication (LOCC), whereas the sets of five quadripartite OPSs for the remaining 16 cases cannot exactly distinguished by LOCC. Our results enrich the theory of nonlocality for sets of OPSs.
arXiv:2610.29622 [quant-ph]
(or arXiv:2610.29622v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2610.29622 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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