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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.