Quantum computing Hamiltonian cycles

Physics – Quantum Physics

Scientific paper

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4 pages, LaTex, 2 figures

Scientific paper

An algorithm for quantum computing Hamiltonian cycles of simple, cubic,
bipartite graphs is discussed. It is shown that it is possible to evolve a
quantum computer into an entanglement of states which map onto the set of all
possible paths originating from a chosen vertex, and furthermore to
subsequently project out all states not corresponding to Hamiltonian cycles.

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