Abstract:
:We present a 3D topological picture-language for quantum information. Our approach combines charged excitations carried by strings, with topological properties that arise from embedding the strings in the interior of a 3D manifold with boundary. A quon is a composite that acts as a particle. Specifically, a quon is a hemisphere containing a neutral pair of open strings with opposite charge. We interpret multiquons and their transformations in a natural way. We obtain a type of relation, a string-genus "joint relation," involving both a string and the 3D manifold. We use the joint relation to obtain a topological interpretation of the C∗-Hopf algebra relations, which are widely used in tensor networks. We obtain a 3D representation of the controlled NOT (CNOT) gate that is considerably simpler than earlier work, and a 3D topological protocol for teleportation.
journal_name
Proc Natl Acad Sci U S Aauthors
Liu Z,Wozniakowski A,Jaffe AMdoi
10.1073/pnas.1621345114subject
Has Abstractpub_date
2017-03-07 00:00:00pages
2497-2502issue
10eissn
0027-8424issn
1091-6490pii
1621345114journal_volume
114pub_type
杂志文章abstract::The developmental loss of neurons in sympathetic, sensory, and some parasympathetic ganglia in familial dysautonomia suggests an inherited defect in the action of beta-nerve growth factor (beta-NGF). The role of this growth factor in dysautonomia has been difficult to resolve as there is no known source of authentic h...
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journal_title:Proceedings of the National Academy of Sciences of the United States of America
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更新日期:2014-09-09 00:00:00
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journal_title:Proceedings of the National Academy of Sciences of the United States of America
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更新日期:1999-07-06 00:00:00