Quantum logic as a sum over classical logic gates

Details Quantum logic as a sum over classical logic gates Quantum logic as a sum over classical logic gates

1996-06-16

arxiv.org/abs/quant-ph/9606018v1

Physics

Quantum Physics

Plain TeX, 3 figures, 15 pages incl. figures

Scientific paper

It is shown that certain natural quantum logic gates, {\it i.e.} unitary time evolution matrices for spin-\frac{1}{2} quantum spins, can be represented as sums, with appropriate phases, over classical logic gates, in a direct analogy with the Feynman path integral representation of quantum mechanics. On the other hand, it is shown that a natural quantum gate obtained by analytically continuing the transfer matrix of the anisotropic nearest-neighbour Ising model to imaginary time, does not admit such a representation.

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