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Title: Braid group representation on quantum computation

Abstract

There are many studies about topological representation of quantum computation recently. One of diagram representation of quantum computation is by using ZX-Calculus. In this paper we will make a diagrammatical scheme of Dense Coding. We also proved that ZX-Calculus diagram of maximally entangle state satisfies Yang-Baxter Equation and therefore, we can construct a Braid Group representation of set of maximally entangle state.

Authors:
 [1];  [2]
  1. Department of Computational Sciences, Bandung Institute of Technology (Indonesia)
  2. Algebra Research Group, Bandung Institute of Technology (Indonesia)
Publication Date:
OSTI Identifier:
22488902
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1677; Journal Issue: 1; Conference: 5. international conference on mathematics and natural sciences, Bandung (Indonesia), 2-3 Nov 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIAGRAMS; DIFFERENTIAL EQUATIONS; EQUATIONS; QUANTUM COMPUTERS; QUANTUM CRYPTOGRAPHY; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; TOPOLOGY

Citation Formats

Aziz, Ryan Kasyfil, E-mail: kasyfilryan@gmail.com, and Muchtadi-Alamsyah, Intan, E-mail: ntan@math.itb.ac.id. Braid group representation on quantum computation. United States: N. p., 2015. Web. doi:10.1063/1.4930633.
Aziz, Ryan Kasyfil, E-mail: kasyfilryan@gmail.com, & Muchtadi-Alamsyah, Intan, E-mail: ntan@math.itb.ac.id. Braid group representation on quantum computation. United States. doi:10.1063/1.4930633.
Aziz, Ryan Kasyfil, E-mail: kasyfilryan@gmail.com, and Muchtadi-Alamsyah, Intan, E-mail: ntan@math.itb.ac.id. Wed . "Braid group representation on quantum computation". United States. doi:10.1063/1.4930633.
@article{osti_22488902,
title = {Braid group representation on quantum computation},
author = {Aziz, Ryan Kasyfil, E-mail: kasyfilryan@gmail.com and Muchtadi-Alamsyah, Intan, E-mail: ntan@math.itb.ac.id},
abstractNote = {There are many studies about topological representation of quantum computation recently. One of diagram representation of quantum computation is by using ZX-Calculus. In this paper we will make a diagrammatical scheme of Dense Coding. We also proved that ZX-Calculus diagram of maximally entangle state satisfies Yang-Baxter Equation and therefore, we can construct a Braid Group representation of set of maximally entangle state.},
doi = {10.1063/1.4930633},
journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1677,
place = {United States},
year = {2015},
month = {9}
}