Journal
PHYSICAL REVIEW A
Volume 78, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.78.022329
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- Orszagos Tudomanyos Kutatasi Alap (OTKA) [T047035, T047041, T038191]
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Using 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 to use the Plucker relations as a sufficient and necessary condition of separability.
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