{"id":6444,"date":"2025-08-06T00:00:00","date_gmt":"2025-08-06T07:00:00","guid":{"rendered":"https:\/\/www.hmc.edu\/physics\/research\/publications\/exchange-symmetrized-qudit-bell-bases-and-bell-state-distinguishability\/"},"modified":"2025-12-19T08:51:14","modified_gmt":"2025-12-19T16:51:14","slug":"exchange-symmetrized-qudit-bell-bases-and-bell-state-distinguishability","status":"publish","type":"physics_publications","link":"https:\/\/www.hmc.edu\/physics\/research\/publications\/exchange-symmetrized-qudit-bell-bases-and-bell-state-distinguishability\/","title":{"rendered":"Exchange-symmetrized qudit Bell bases and Bell-state distinguishability"},"content":{"rendered":"\n<p>Oscar Scholin and Theresa W. Lynn*<\/p>\n\n\n\n<p><a href=\"https:\/\/journals.aps.org\/prresearch\/abstract\/10.1103\/vdb2-t7bz\">Exchange-symmetrized qudit Bell bases and Bell-state distinguishability<\/a><\/p>\n\n\n\n<p>Physical Review Research 7, 033124 (2025)<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Abstract<\/h2>\n\n\n\n<p>Entanglement of qudit pairs, with single-particle Hilbert space dimension  , has important potential for quantum information processing, with applications in cryptography, algorithms, and error correction. For a pair of qudits of arbitrary even dimension  , we introduce a generalized Bell basis with definite symmetry under exchange of internal states between the two particles. We show that no complete exchange-symmetrized basis can exist for odd  . This framework extends prior work on exchange-symmetrized hyperentangled qubit bases, where   is a power of 2. For our exchange-symmetrized basis, we show that measurement devices restricted to linear evolution and local measurement (LELM) can unambiguously distinguish 2\u2062 \u22121 qudit Bell states for any even  . This achieves the upper bound in general for reliable Bell-state distinguishability via LELM and augments previously known limits for  =2  and  =3. This result is relevant to near-term realizations of quantum communication protocols.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Oscar Scholin and Theresa W. Lynn* Exchange-symmetrized qudit Bell bases and Bell-state distinguishability Physical Review Research 7, 033124 (2025) Abstract [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"template":"","publication_author":[20],"class_list":["post-6444","physics_publications","type-physics_publications","status-publish","hentry","publication_author-lynn"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/physics_publications\/6444","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/physics_publications"}],"about":[{"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/types\/physics_publications"}],"author":[{"embeddable":true,"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/users\/1"}],"wp:attachment":[{"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/media?parent=6444"}],"wp:term":[{"taxonomy":"publication_author","embeddable":true,"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/publication_author?post=6444"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}