English

Space Searches with a Quantum Robot

Quantum Physics 2007-05-23 v2

Abstract

Quantum robots are described as mobile quantum computers and ancillary systems that move in and interact with arbitrary environments. Their dynamics is given as tasks which consist of sequences of alternating computation and action phases. A task example is considered in which a quantum robot searches a space region to find the location of a system. The possibility that the search can be more efficient than a classical search is examined by considering use of Grover's Algorithm to process the search results. For reversible searches this is problematic for two reasons. One is the removal of entanglements generated by the search process. The other is that even if the entanglement can be avoided, the search process in 2-D space regions is no more efficient than a classical search. However, quantum searches of space regions with 3 or more dimensions are more efficient than classical searches. Reasons why quantum robots are interesting independent of these results are briefly summarized.

Keywords

Cite

@article{arxiv.quant-ph/0003006,
  title  = {Space Searches with a Quantum Robot},
  author = {Paul Benioff},
  journal= {arXiv preprint arXiv:quant-ph/0003006},
  year   = {2007}
}

Comments

13 pages plus 1 figure. Minor revision. Amended to fit AMS requirements for publication in the AMS Contemporary Math Series volume, Quantum Computation & Information