Quantum computing Hamiltonian cycles
arXiv:quant-ph/9603001
Abstract
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.
4 pages, LaTex, 2 figures