Quantum Computing with Superqubits
High Energy Physics - Theory
2010-01-22 v1 Quantum Physics
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.
Cite
@article{arxiv.1001.3753,
title = {Quantum Computing with Superqubits},
author = {Leonardo Castellani and Pietro Antonio Grassi and Luca Sommovigo},
journal= {arXiv preprint arXiv:1001.3753},
year = {2010}
}
Comments
13 pages