Genuinely entangled symmetric states with no $N$-partite correlations
| Autor: | Designolle, S., Giraud, O., Martin, J. |
|---|---|
| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Phys. Rev. A 96, 032322 (2017) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevA.96.032322 |
| Popis: | We investigate genuinely entangled $N$-qubit states with no $N$-partite correlations in the case of symmetric states. Using a tensor representation for mixed symmetric states, we obtain a simple characterization of the absence of $N$-partite correlations. We show that symmetric states with no $N$-partite correlations cannot exist for an even number of qubits. We fully identify the set of genuinely entangled symmetric states with no $N$-partite correlations in the case of three qubits, and in the case of rank-2 states. We present a general procedure to construct families for an arbitrary odd number of qubits. Comment: 9 pages, 2 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|