Distilling entanglement from Fermions

Details Distilling entanglement from Fermions Distilling entanglement from Fermions

2008-12-03

arxiv.org/abs/0812.0763v1

Physics

Quantum Physics

16 pages, 1 figure. Contribution to the Proceedings of the 40th Symposium on Mathematical Physics, Torun, Poland, 2008

Scientific paper

Since Fermions are based on anti-commutation relations, their entanglement can not be studied in the usual way, such that the available theory has to be modified appropriately. Recent publications consider in particular the structure of separable and of maximally entangled states. In this talk we want to discuss local operations and entanglement distillation from bipartite, Fermionic systems. To this end we apply an algebraic point of view where algebras of local observables, rather than tensor product Hilbert spaces play the central role. We apply our scheme in particular to Fermionic Gaussian states where the whole discussion can be reduced to properties of the covariance matrix. Finally the results are demonstrated with free Fermions on an infinite, one-dimensional lattice.

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