Eltschka, Christopher and Bastin, Thierry and Osterloh, Andreas and Siewert, Jens (2012) Multipartite-entanglement monotones and polynomial invariants. PHYSICAL REVIEW A, 85 (2): 022301. ISSN 1050-2947,
Full text not available from this repository.Abstract
We show that a positive homogeneous function that is invariant under determinant-1 stochastic local operations and classical communication (SLOCC) transformations defines an N-qubit entanglement monotone if and only if the homogeneous degree is not larger than 4. We then describe a common basis and formalism for the N-tangle and other known invariant polynomials of degree 4. This allows us to elucidate the relation of the four-qubit invariants defined by Luque and Thibon [Phys. Rev. A 67, 042303 (2003)] and the reduced two-qubit density matrices of the states under consideration, thus giving a physical interpretation for those invariants. We demonstrate that this is a special case of a completely general law that holds for any multipartite system with bipartitions of equal dimension, e. g., for an even number of qudits.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUBITS; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 19 May 2020 09:03 |
| Last Modified: | 19 May 2020 09:03 |
| URI: | https://pred.uni-regensburg.de/id/eprint/19243 |
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