Fermionic computation is non-local tomographic and violates monogamy of entanglement
1 QUIT Group, Dipartimento di Fisica - via Bassi, 6, 27100 Pavia, Italy
2 INFN Sezione di Pavia - via Bassi, 6, 27100 Pavia, Italy
Received: 19 May 2014
Accepted: 30 June 2014
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 superselection rule. We generalize quantum superselection rules to general probabilistic theories as sets 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.
PACS: 03.67.Mn – Entanglement measures, witnesses, and other characterizations / 03.67.Lx – Quantum computation architectures and implementations
© EPLA, 2014