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Article overview
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The algebra of Grassmann canonical anti-commutation relations (GAR) and its applications to fermionic systems | | Michael Keyl
; Dirk-M. Schlingemann
; | | Date: |
16 Jun 2009 | | Abstract: | We present an approach to a non-commutative-like phase space which allows to
analyze quasi-free states on the CAR algebra in analogy to quasi-free states on
the CCR algebra. The used mathematical tools are based on a new algebraic
structure the "Grassmann algebra of canonical anti-commutation relations" (GAR
algebra) which is given by the twisted tensor product of a Grassmann and a CAR
algebra. As a new application, the corresponding theory provides an elegant
tool for calculating the fidelity of two quasi-free fermionic states which is
needed for the study of entanglement distillation within fermionic systems. | | Source: | arXiv, 0906.2929 | | Services: | Forum | Review | PDF | Favorites | |
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