{"paper":{"title":"Mutually unbiased maximally entangled bases in $\\mathbb{C}^d\\otimes\\mathbb{C}^d$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Junying Liu, Keqin Feng, Minghui Yang","submitted_at":"2016-09-09T07:37:12Z","abstract_excerpt":"We study mutually unbiased maximally entangled bases (MUMEB's) in bipartite system $\\mathbb{C}^d\\otimes\\mathbb{C}^d (d \\geq 3)$. We generalize the method to construct MUMEB's given in [16], by using any commutative ring $R$ with $d$ elements and generic character of $(R,+)$ instead of $\\mathbb{Z}_d=\\mathbb{Z}/d\\mathbb{Z}$. Particularly, if $d=p_1^{a_1}p_2^{a_2}\\ldots p_s^{a_s}$ where $p_1, \\ldots, p_s$ are distinct primes and $3\\leq p_1^{a_1}\\leq\\cdots\\leq p_s^{a_s}$, we present $p_1^{a_1}-1$ MUMEB's in $\\mathbb{C}^d\\otimes\\mathbb{C}^d$ by taking $R=\\mathbb{F}_{p_1^{a_1}}\\oplus\\cdots\\oplus\\mat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.02674","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}