# Interpolatability distinguishes LOCC from separable von Neumann measurements

## Abstract

Local operations with classical communication (LOCC) and separable operations are two classes of quantum operations that play key roles in the study of quantum entanglement. Separable operations are strictly more powerful than LOCC, but no simple explanation of this phenomenon is known. We show that, in the case of von Neumann measurements, the ability to interpolate measurements is an operational principle that sets apart LOCC and separable operations.

- Authors:

- Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario N2L 3G1 (Canada)
- (Canada)
- (United States)

- Publication Date:

- OSTI Identifier:
- 22251330

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Physics

- Additional Journal Information:
- Journal Volume: 54; Journal Issue: 11; Other Information: (c) 2013 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; COMMUNICATIONS; INTERPOLATION; QUANTUM ENTANGLEMENT

### Citation Formats

```
Childs, Andrew M., Leung, Debbie, Mančinska, Laura, Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario N2L 3G1, Ozols, Maris, Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario N2L 3G1, and IBM TJ Watson Research Center, Yorktown Heights, New York 10598.
```*Interpolatability distinguishes LOCC from separable von Neumann measurements*. United States: N. p., 2013.
Web. doi:10.1063/1.4830335.

```
Childs, Andrew M., Leung, Debbie, Mančinska, Laura, Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario N2L 3G1, Ozols, Maris, Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario N2L 3G1, & IBM TJ Watson Research Center, Yorktown Heights, New York 10598.
```*Interpolatability distinguishes LOCC from separable von Neumann measurements*. United States. doi:10.1063/1.4830335.

```
Childs, Andrew M., Leung, Debbie, Mančinska, Laura, Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario N2L 3G1, Ozols, Maris, Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario N2L 3G1, and IBM TJ Watson Research Center, Yorktown Heights, New York 10598. Fri .
"Interpolatability distinguishes LOCC from separable von Neumann measurements". United States. doi:10.1063/1.4830335.
```

```
@article{osti_22251330,
```

title = {Interpolatability distinguishes LOCC from separable von Neumann measurements},

author = {Childs, Andrew M. and Leung, Debbie and Mančinska, Laura and Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario N2L 3G1 and Ozols, Maris and Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario N2L 3G1 and IBM TJ Watson Research Center, Yorktown Heights, New York 10598},

abstractNote = {Local operations with classical communication (LOCC) and separable operations are two classes of quantum operations that play key roles in the study of quantum entanglement. Separable operations are strictly more powerful than LOCC, but no simple explanation of this phenomenon is known. We show that, in the case of von Neumann measurements, the ability to interpolate measurements is an operational principle that sets apart LOCC and separable operations.},

doi = {10.1063/1.4830335},

journal = {Journal of Mathematical Physics},

issn = {0022-2488},

number = 11,

volume = 54,

place = {United States},

year = {2013},

month = {11}

}

DOI: 10.1063/1.4830335

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