# 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:

- Department of Computational Sciences, Bandung Institute of Technology (Indonesia)
- 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}

}

DOI: 10.1063/1.4930633

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