Quantum Computation by Decoherence Free Operator Algebras

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  • 3 October 1999
Abstract
The states of the physical algebra, namely the algebra generated by the measurements performed 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 either commuting with or belonging to the physical 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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