{"id":99863,"date":"2019-12-17T15:43:24","date_gmt":"2019-12-17T23:43:24","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2019\/12\/quant-ph-0512214-infinite-qubit-rings-with-maximal-nearest-neighbor-entanglement-the-bethe-ansatz-solution"},"modified":"2019-12-17T15:43:24","modified_gmt":"2019-12-17T23:43:24","slug":"quant-ph-0512214-infinite-qubit-rings-with-maximal-nearest-neighbor-entanglement-the-bethe-ansatz-solution","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2019\/12\/quant-ph-0512214-infinite-qubit-rings-with-maximal-nearest-neighbor-entanglement-the-bethe-ansatz-solution","title":{"rendered":"[quant-ph\/0512214] Infinite qubit rings with maximal nearest neighbor entanglement: the Bethe ansatz solution"},"content":{"rendered":"<p>Circa 2005<\/p>\n<hr>\n<p>We search for translationally invariant states of qubits on a ring that maximize the nearest neighbor entanglement. This problem was initially studied by O\u2019Connor and Wootters [Phys. Rev. A {\\bf 63}, 052302 (2001)]. We first map the problem to the search for the ground state of a spin 1\/2 Heisenberg XXZ<\/p>\n<p>Model. Using the exact Bethe ansatz solution in the limit of an infinite ring.<\/p>\n<p>We prove the correctness of the assumption of O\u2019Connor and Wootters that the state of maximal entanglement does not have any pair of neighboring spins.<\/p>\n<p>\u201cdown\u2019\u2019 (or, alternatively spins \u201cup\u2019\u2018).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Circa 2005 We search for translationally invariant states of qubits on a ring that maximize the nearest neighbor entanglement. This problem was initially studied by O\u2019Connor and Wootters [Phys. Rev. A {\\bf 63}, 052302 (2001)]. We first map the problem to the search for the ground state of a spin 1\/2 Heisenberg XXZ Model. Using [\u2026]<\/p>\n","protected":false},"author":513,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20],"tags":[],"class_list":["post-99863","post","type-post","status-publish","format-standard","hentry","category-futurism"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/99863","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/513"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=99863"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/99863\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=99863"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=99863"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=99863"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}