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PreprintarXiv licencearXiv

Local distinguishability of five quadripartite orthogonal product states

  • Guang-Bao Xu
  • Jie Zhan
  • Yu-Guang Yang
  • Dong-Huan Jiang
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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.

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Cite

BibTeXRIS
BibTeX
@misc{xu2026local,
  title = {{Local distinguishability of five quadripartite orthogonal product states}},
  author = {Guang-Bao Xu and Jie Zhan and Yu-Guang Yang and Dong-Huan Jiang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.29622},
  eprint = {2610.29622},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.29622},
}
RIS
TY  - UNPB
TI  - Local distinguishability of five quadripartite orthogonal product states
AU  - Guang-Bao Xu
AU  - Jie Zhan
AU  - Yu-Guang Yang
AU  - Dong-Huan Jiang
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.29622
UR  - https://arxiv.org/abs/2610.29622
AB  - 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.
ER  -