# On-chip generation of Einstein-Podolsky-Rosen states with arbitrary symmetry

## Abstract

We experimentally demonstrate a method for integrated-optical generation of two-photon Einstein-Podolsky-Rosen states featuring arbitrary symmetries. In our setting, we employ detuned directional couplers to impose a freely tailorable phase between the two modes of the state. Our results allow to mimic the quantum random walk statistics of bosons, fermions, and anyons, particles with fractional exchange statistics.

- Authors:

- Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität, Max-Wien-Platz 1, 07743 Jena (Germany)

- Publication Date:

- OSTI Identifier:
- 22398989

- Resource Type:
- Journal Article

- Journal Name:
- Applied Physics Letters

- Additional Journal Information:
- Journal Volume: 106; Journal Issue: 18; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-6951

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANYONS; FERMIONS; GRAPH THEORY; PHOTONS; QUANTUM MECHANICS; QUANTUM STATES; RANDOMNESS; STATISTICS; SYMMETRY

### Citation Formats

```
Gräfe, Markus, Heilmann, René, Nolte, Stefan, and Szameit, Alexander, E-mail: alexander.szameit@uni-jena.de.
```*On-chip generation of Einstein-Podolsky-Rosen states with arbitrary symmetry*. United States: N. p., 2015.
Web. doi:10.1063/1.4920934.

```
Gräfe, Markus, Heilmann, René, Nolte, Stefan, & Szameit, Alexander, E-mail: alexander.szameit@uni-jena.de.
```*On-chip generation of Einstein-Podolsky-Rosen states with arbitrary symmetry*. United States. doi:10.1063/1.4920934.

```
Gräfe, Markus, Heilmann, René, Nolte, Stefan, and Szameit, Alexander, E-mail: alexander.szameit@uni-jena.de. Mon .
"On-chip generation of Einstein-Podolsky-Rosen states with arbitrary symmetry". United States. doi:10.1063/1.4920934.
```

```
@article{osti_22398989,
```

title = {On-chip generation of Einstein-Podolsky-Rosen states with arbitrary symmetry},

author = {Gräfe, Markus and Heilmann, René and Nolte, Stefan and Szameit, Alexander, E-mail: alexander.szameit@uni-jena.de},

abstractNote = {We experimentally demonstrate a method for integrated-optical generation of two-photon Einstein-Podolsky-Rosen states featuring arbitrary symmetries. In our setting, we employ detuned directional couplers to impose a freely tailorable phase between the two modes of the state. Our results allow to mimic the quantum random walk statistics of bosons, fermions, and anyons, particles with fractional exchange statistics.},

doi = {10.1063/1.4920934},

journal = {Applied Physics Letters},

issn = {0003-6951},

number = 18,

volume = 106,

place = {United States},

year = {2015},

month = {5}

}

DOI: 10.1063/1.4920934

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