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arXiv · 1001.3753

Quantum Computing with Superqubits

Leonardo Castellani·Pietro Antonio Grassi·Luca Sommovigo
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Abstract

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.

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Leonardo Castellani, Pietro Antonio Grassi, Luca Sommovigo. 2010-01-21. Quantum Computing with Superqubits. https://arxiv.org/abs/1001.3753

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