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10.1073/pnas.1621345114

http://scihub22266oqcxt.onion/10.1073/pnas.1621345114
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suck abstract from ncbi


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pmid28167790
      Proc+Natl+Acad+Sci+U+S+A 2017 ; 114 (10 ): 2497-2502
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  • Quon 3D language for quantum information #MMPMID28167790
  • Liu Z ; Wozniakowski A ; Jaffe AM
  • Proc Natl Acad Sci U S A 2017[Mar]; 114 (10 ): 2497-2502 PMID28167790 show ga
  • 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.
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