Three fermions with six single particle states can be entangled in two inequivalent ways

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dc.creatorLévay, Péter
dc.creatorVrana, Péter
dc.date2008-06-25
dc.date.accessioned2026-07-07T12:14:49Z
dc.date.available2026-07-07T12:14:49Z
dc.descriptionUsing a generalization of Cayley's hyperdeterminant as a new measure of tripartite fermionic entanglement we obtain the SLOCC classification of three-fermion systems with six single particle states. A special subclass of such three-fermion systems is shown to have the same properties as the well-known three-qubit ones. Our results can be presented in a unified way using Freudenthal triple systems based on cubic Jordan algebras. For systems with an arbitrary number of fermions and single particle states we propose the Plücker relations as a sufficient and necessary condition of separability.
dc.description23 pages LATEX
dc.identifierhttps://arxiv.org/abs/0806.4076
dc.identifierhttp://arxiv.org/abs/0806.4076
dc.identifierPhysical Review A78, 022329 (2008)
dc.identifierdoi:10.1103/PhysRevA.78.022329
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211323
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleThree fermions with six single particle states can be entangled in two inequivalent ways
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