1307.7902 (Giacomo Mauro D'Ariano et al.)

Fermionic computation is non-local tomographic and violates monogamy of
entanglement    [PDF]

Giacomo Mauro D'Ariano, Franco Manessi, Paolo Perinotti, Alessandro Tosini

We show that the computational model based on local Fermionic modes in place of qubits does not satisfy local tomography and monogamy of entanglement, and has mixed states with maximal entanglement of formation. These features directly follow from the parity conservation corresponding to the parity superselection rule. We introduce superselection rules for general probabilistic theories with local tomography, in terms of linear constraints on the convex set of states. We then provide a link between the cardinality of the superselection rule and the degree of holism of the resulting theory.

View original: http://arxiv.org/abs/1307.7902