{"id":946,"date":"2013-04-30T12:52:57","date_gmt":"2013-04-30T10:52:57","guid":{"rendered":"https:\/\/webs.uab.cat\/giq\/seminar\/quantum-hypergraph-states\/"},"modified":"2013-04-30T12:52:57","modified_gmt":"2013-04-30T10:52:57","slug":"quantum-hypergraph-states","status":"publish","type":"seminar","link":"https:\/\/webs.uab.cat\/giq\/seminar\/quantum-hypergraph-states\/","title":{"rendered":"Quantum Hypergraph States"},"content":{"rendered":"<pre style=\"margin-top: 0px; margin-bottom: 0px;\"><span style=\"font-family: arial; color: #000000;\">The class of quantum hypergraph states is introduced and discussed.<\/span><span style=\"font-family: arial;\"> We show that these n-qubit states can be regarded as a&nbsp;<\/span><span style=\"font-family: arial;\">generalization of well-known graph states since they are defined according to an underlying mathematical hypergraph, i.e. a graph where edges connecting more than two vertices are considered.  We develop a generalized stabilizer formalism in order to describe them and discuss inequivalence under local unitaries. We then prove that this class of states describes exhaustively the states employed in quantum algorithms, such as Deutsch-Jozsa\u2019s and Grover\u2019s. Finally we discuss some possible further developments, especially in <\/span><span style=\"font-family: arial;\">connection with one-way quantum computing.<\/span><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>The class of quantum hypergraph states is introduced and discussed. We show that these n-qubit states can be regarded as a&nbsp;generalization of well-known graph states since they are defined according to an underlying mathematical hypergraph, i.e. a graph where edges connecting more than two vertices are considered. We develop a generalized stabilizer formalism in order [&hellip;]<\/p>\n","protected":false},"author":20,"featured_media":0,"template":"","class_list":["post-946","seminar","type-seminar","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar\/946","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar"}],"about":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/types\/seminar"}],"author":[{"embeddable":true,"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/users\/20"}],"wp:attachment":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/media?parent=946"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}