English

Quantum computing Hamiltonian cycles

Quantum Physics 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.quant-ph/9603001,
  title  = {Quantum computing Hamiltonian cycles},
  author = {T. Rudolph},
  journal= {arXiv preprint arXiv:quant-ph/9603001},
  year   = {2007}
}

Comments

4 pages, LaTex, 2 figures