Viehmann, Oliver and Eltschka, Christopher and Siewert, Jens (2011) Polynomial invariants for discrimination and classification of four-qubit entanglement. PHYSICAL REVIEW A, 83 (5): 052330. ISSN 1050-2947,
Full text not available from this repository.Abstract
The number of entanglement classes in stochastic local operations and classical communication (SLOCC) classifications increases with the number of qubits and is already infinite for four qubits. Criteria for explicitly discriminating and classifying pure states of four and more qubits are highly desirable and therefore at the focus of intense theoretical research. We develop a general criterion for the discrimination of pure N-partite entangled states in terms of polynomial SL(d,C)(circle times N) invariants. By means of this criterion, existing SLOCC classifications of four-qubit entanglement are reproduced. Based on this we propose a polynomial classification scheme in which entanglement types are identified through "tangle patterns." This scheme provides a practicable way to classify states of arbitrary multipartite systems. Moreover, the use of polynomials induces a corresponding quantification of the different types of entanglement.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Jun 2020 07:45 |
| Last Modified: | 15 Jun 2020 07:45 |
| URI: | https://pred.uni-regensburg.de/id/eprint/20795 |
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