Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-01-21
Physics
High Energy Physics
High Energy Physics - Theory
13 pages
Scientific paper
We analyze some aspects of quantum computing with super-qubits (squbits). We propose the analogue of a superfield formalism, and give a physical interpretation for the Grassmann coefficients in the squbit expansion as fermionic creation operators of an auxiliary quantum system. In the simplest case the squbit is a superposition of one Bose X Bose and one Fermi X Fermi state, and its norm is invariant under a U(2) group realized with Clifford-valued matrices. This case can be generalized to a superposition of n_B bosonic and n_F fermionic states, with a norm invariant under U(n_B + n_F). Entanglement between squbits, super quantum gates and teleportation are discussed.
Castellani Leonardo
Grassi Pietro Antonio
Sommovigo Luca
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