{"id":4795,"date":"2011-01-01T00:00:00","date_gmt":"2011-01-01T08:00:00","guid":{"rendered":"https:\/\/wpdev.hmc.edu\/physics\/2011\/01\/01\/distinguishability-of-hyperentangled-bell-states-by-linear-evolution-and-local-projective-measurement\/"},"modified":"2011-01-01T00:00:00","modified_gmt":"2011-01-01T08:00:00","slug":"distinguishability-of-hyperentangled-bell-states-by-linear-evolution-and-local-projective-measurement","status":"publish","type":"physics_publications","link":"https:\/\/www.hmc.edu\/physics\/research\/publications\/distinguishability-of-hyperentangled-bell-states-by-linear-evolution-and-local-projective-measurement\/","title":{"rendered":"Distinguishability of hyperentangled Bell states by linear evolution and local projective measurement"},"content":{"rendered":"\n<p id=\"authors\"><span class=\"studauthor\">Neal C. Pisenti<\/span>, <span class=\"studauthor\">Carl Philipp E. Gaebler<\/span>, and <span class=\"facauthor\">Theresa W. Lynn<\/span><\/p>\n\n\n\n<p id=\"doc-link\"><a href=\"https:\/\/www.hmc.edu\/physics\/wp-content\/uploads\/sites\/22\/2023\/02\/\">Distinguishability of hyperentangled Bell states by linear evolution and local projective measurement (PDF)<\/a><\/p>\n\n\n\n<p id=\"journal\"><span class=\"journal-title\">Physical Review A<\/span> <strong data-vol=\"84\">84<\/strong> <span id=\"journal-year\">(2011)<\/span> <span id=\"journal-pages\" data-pages=\"22340\">22340<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Abstract<\/h2>\n\n\n\n<p>Measuring an entangled state of two particles is crucial to many quantum communication protocols. Yet Bell- state distinguishability using a finite apparatus obeying linear evolution and local measurement is theoretically limited. We extend known bounds for Bell-state distinguishability in one and two variables to the general case of entanglement in *n* two-state variables. We show that at most :mil:`2^{n+1} &#8211; 1` classes out of :mil:`4^{n}` hyper-Bell states can be distinguished with one copy of the input state. With two copies, complete distinguishability is possible. We present optimal schemes in each case.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Neal C. Pisenti, Carl Philipp E. Gaebler, and Theresa W. Lynn Distinguishability of hyperentangled Bell states by linear evolution and [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"template":"","publication_author":[20],"class_list":["post-4795","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\/4795","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=4795"}],"wp:term":[{"taxonomy":"publication_author","embeddable":true,"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/publication_author?post=4795"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}