dorsal/arxiv
View SchemaGeometric multipartite entanglement measures
| Authors | Gerardo A. Paz-Silva, John H. Reina |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603102 |
| URL | https://arxiv.org/abs/quant-ph/0603102 |
| DOI | 10.1016/j.physleta.2006.12.065 |
| Journal | Physics Letters A 365, 64-69 (2007) |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
Within the framework of constructions for quantifying entanglement, we build a natural scenario for the assembly of multipartite entanglement measures based on Hopf bundle-like mappings obtained through Clifford algebra representations. Then, given the non-factorizability of an arbitrary two-qubit density matrix, we give an alternate quantity that allows the construction of two types of entanglement measures based on their arithmetical and geometrical averages over all pairs of qubits in a register of size N, and thus fully characterize its degree and type of entanglement. We find that such an arithmetical average is both additive and strongly super additive.
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"abstract": "Within the framework of constructions for quantifying entanglement, we build\na natural scenario for the assembly of multipartite entanglement measures based\non Hopf bundle-like mappings obtained through Clifford algebra representations.\nThen, given the non-factorizability of an arbitrary two-qubit density matrix,\nwe give an alternate quantity that allows the construction of two types of\nentanglement measures based on their arithmetical and geometrical averages over\nall pairs of qubits in a register of size N, and thus fully characterize its\ndegree and type of entanglement. We find that such an arithmetical average is\nboth additive and strongly super additive.",
"arxiv_id": "quant-ph/0603102",
"authors": [
"Gerardo A. Paz-Silva",
"John H. Reina"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physleta.2006.12.065",
"journal_ref": "Physics Letters A 365, 64-69 (2007)",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Geometric multipartite entanglement measures",
"url": "https://arxiv.org/abs/quant-ph/0603102"
},
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