# Breaking Gaussian incompatibility on continuous variable quantum systems

## Abstract

We characterise Gaussian quantum channels that are Gaussian incompatibility breaking, that is, transform every set of Gaussian measurements into a set obtainable from a joint Gaussian observable via Gaussian postprocessing. Such channels represent local noise which renders measurements useless for Gaussian EPR-steering, providing the appropriate generalisation of entanglement breaking channels for this scenario. Understanding the structure of Gaussian incompatibility breaking channels contributes to the resource theory of noisy continuous variable quantum information protocols.

- Authors:

- Turku Centre for Quantum Physics, Department of Physics and Astronomy, University of Turku, FI-20014 Turku (Finland)
- Department of Mathematics, Aberystwyth University, Penglais, Aberystwyth, SY23 3BZ (United Kingdom)
- (Italy)

- Publication Date:

- OSTI Identifier:
- 22479584

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Physics

- Additional Journal Information:
- Journal Volume: 56; Journal Issue: 8; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0022-2488

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ELECTRON SPIN RESONANCE; NOISE; QUANTUM ENTANGLEMENT; QUANTUM INFORMATION; QUANTUM SYSTEMS

### Citation Formats

```
Heinosaari, Teiko, E-mail: teiko.heinosaari@utu.fi, Kiukas, Jukka, E-mail: jukka.kiukas@aber.ac.uk, Schultz, Jussi, E-mail: jussi.schultz@gmail.com, and Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133 Milano.
```*Breaking Gaussian incompatibility on continuous variable quantum systems*. United States: N. p., 2015.
Web. doi:10.1063/1.4928044.

```
Heinosaari, Teiko, E-mail: teiko.heinosaari@utu.fi, Kiukas, Jukka, E-mail: jukka.kiukas@aber.ac.uk, Schultz, Jussi, E-mail: jussi.schultz@gmail.com, & Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133 Milano.
```*Breaking Gaussian incompatibility on continuous variable quantum systems*. United States. doi:10.1063/1.4928044.

```
Heinosaari, Teiko, E-mail: teiko.heinosaari@utu.fi, Kiukas, Jukka, E-mail: jukka.kiukas@aber.ac.uk, Schultz, Jussi, E-mail: jussi.schultz@gmail.com, and Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133 Milano. Sat .
"Breaking Gaussian incompatibility on continuous variable quantum systems". United States. doi:10.1063/1.4928044.
```

```
@article{osti_22479584,
```

title = {Breaking Gaussian incompatibility on continuous variable quantum systems},

author = {Heinosaari, Teiko, E-mail: teiko.heinosaari@utu.fi and Kiukas, Jukka, E-mail: jukka.kiukas@aber.ac.uk and Schultz, Jussi, E-mail: jussi.schultz@gmail.com and Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133 Milano},

abstractNote = {We characterise Gaussian quantum channels that are Gaussian incompatibility breaking, that is, transform every set of Gaussian measurements into a set obtainable from a joint Gaussian observable via Gaussian postprocessing. Such channels represent local noise which renders measurements useless for Gaussian EPR-steering, providing the appropriate generalisation of entanglement breaking channels for this scenario. Understanding the structure of Gaussian incompatibility breaking channels contributes to the resource theory of noisy continuous variable quantum information protocols.},

doi = {10.1063/1.4928044},

journal = {Journal of Mathematical Physics},

issn = {0022-2488},

number = 8,

volume = 56,

place = {United States},

year = {2015},

month = {8}

}

DOI: 10.1063/1.4928044

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.