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In this paper, we aim to construct less locally indistinguishable orthogonal product states in $m\\otimes n $. First, in $3\\otimes n (3< n)$ quantum system, we construct $3n-2$ locally indistinguishable orthogonal product states which are not unextendible product bases. Then, for $m\\otimes n (4\\leq m\\leq n)$, we present $3n+m"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1509.01814","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-09-06T14:14:02Z","cross_cats_sorted":[],"title_canon_sha256":"6a8967179a0bda9ce337071f055dad8a87aa1a5b2a1939f382a5cc2b0f9b7454","abstract_canon_sha256":"8f77742f0dd7731572ed901deadeec6f6b0b5c99ea5dc02d248fd0ebfa84574b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:03.240983Z","signature_b64":"a5KQsD5xMlV+0xcc+qfNT/Nhdk4rLdpxSALvQuCSllTl1ixU+Toar7uTgWefEJctHVtrrmdeKdLwxTD1cAksCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"44709c98056be2a0b32d064ce1058bd85327c5b4c032a986b099912c023223b9","last_reissued_at":"2026-05-18T01:23:03.240410Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:03.240410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Local indistinguishability of orthogonal product states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Fei Gao, Qiao-Yan Wen, Su-Juan Qin, Ya Cao, Zhi-Chao Zhang","submitted_at":"2015-09-06T14:14:02Z","abstract_excerpt":"In the general bipartite quantum system $m \\otimes n$, Wang \\emph{et al.} [Y.-L Wang \\emph{et al.}, Phys. Rev. A \\textbf{92}, 032313 (2015)] presented $3(m+n)-9$ orthogonal product states which cannot be distinguished by local operations and classical communication (LOCC). In this paper, we aim to construct less locally indistinguishable orthogonal product states in $m\\otimes n $. First, in $3\\otimes n (3< n)$ quantum system, we construct $3n-2$ locally indistinguishable orthogonal product states which are not unextendible product bases. 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