Segre maps and entanglement for multipartite systems of indistinguishable particles

Abstract

We elaborate the concept of entanglement for multipartite system with bosonic and fermionic constituents and its generalization to systems with arbitrary parastatistics. The entanglement is characterized in terms of generalized Segre maps, supplementing thus an algebraic approach to the problem by a more geometric point of view.

16 pages, the version to appear in J. Phys. A. arXiv admin note: text overlap with arXiv:1012.0758

References in corpus (9)

• General criterion for the entanglement of two indistinguishable particles
• Essential entanglement for atomic and molecular physics
• Linear entropy as an entanglement measure in two-fermion systems
• Separability Criteria and Entanglement Measures for Pure States of N Identical Fermions
• Geometry of quantum systems: density states and entanglement
• Entanglement of Indistinguishable Particles
• Entanglement for multipartite systems of indistinguishable particles
• A measure of tripartite entanglement in bosonic and fermionic systems
• Multipartite entanglement in fermionic systems via a geometric measure

Cited by in corpus (4)

• Quantum enhanced measurements without entanglement
• Entanglement of indistinguishable particles as a probe for quantum phase transitions in the extended Hubbard model
• Quantumness of correlations in indistinguishable particles
• Entangled subspaces and generic local state discrimination with pre-shared entanglement