Geometric multipartite entanglement measures

Details Geometric multipartite entanglement measures Geometric multipartite entanglement measures

2006-03-11

arxiv.org/abs/quant-ph/0603102v3

Physics Letters A 365, 64-69 (2007)

Physics

Quantum Physics

This is the updated, finally published, version

Scientific paper

10.1016/j.physleta.2006.12.065

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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