Quantum Computation by Coherence Free Operator Algebras

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  • 1 October 1999
Abstract
The states of the physical algebra, namely that generated by the measurements done in encoding and processing qbits, are considered instead of those of the whole system-algebra. If the physical algebra is DF - that is it commutes with the interaction Hamiltonian and the system Hamiltonian is the sum of arbitrary terms commuting with, and arbitrary ones belonging to this algebra - then its states are DF. One of the considered examples shows that the smallest number of physical qbits encoding a DF logical qbit is reduced from four to three.

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