# Violation of monogamy inequality for higher-dimensional objects

## Abstract

Bipartite quantum entanglement for qutrits and higher-dimensional objects is considered. We analyze the possibility of violation of monogamy inequality, introduced by Coffman, Kundu, and Wootters, for some systems composed of such objects. An explicit counterexample with a three-qutrit totally antisymmetric state is presented. Since three-tangle has been confirmed to be a natural measure of entanglement for qubit systems, our result shows that the three-tangle is no longer a legitimate measure of entanglement for states with three qutrits or higher-dimensional objects.

- Authors:

- Institute of Physics, Chinese Academy of Sciences, Beijing 100080 (China)

- Publication Date:

- OSTI Identifier:
- 20982416

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.75.034305; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; INFORMATION THEORY; QUANTUM COMPUTERS; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; QUBITS

### Citation Formats

```
Ou, Yong-Cheng.
```*Violation of monogamy inequality for higher-dimensional objects*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVA.75.034305.

```
Ou, Yong-Cheng.
```*Violation of monogamy inequality for higher-dimensional objects*. United States. doi:10.1103/PHYSREVA.75.034305.

```
Ou, Yong-Cheng. Thu .
"Violation of monogamy inequality for higher-dimensional objects". United States.
doi:10.1103/PHYSREVA.75.034305.
```

```
@article{osti_20982416,
```

title = {Violation of monogamy inequality for higher-dimensional objects},

author = {Ou, Yong-Cheng},

abstractNote = {Bipartite quantum entanglement for qutrits and higher-dimensional objects is considered. We analyze the possibility of violation of monogamy inequality, introduced by Coffman, Kundu, and Wootters, for some systems composed of such objects. An explicit counterexample with a three-qutrit totally antisymmetric state is presented. Since three-tangle has been confirmed to be a natural measure of entanglement for qubit systems, our result shows that the three-tangle is no longer a legitimate measure of entanglement for states with three qutrits or higher-dimensional objects.},

doi = {10.1103/PHYSREVA.75.034305},

journal = {Physical Review. A},

number = 3,

volume = 75,

place = {United States},

year = {Thu Mar 15 00:00:00 EDT 2007},

month = {Thu Mar 15 00:00:00 EDT 2007}

}

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