Creation of a Quantum
Algorithm for the Depth-Two AND/OR Query Problem that is Better than any
Previously Published Result
(A Human-Competitive Result Produced by Genetic Programming)
The Result
Genetic programming evolved a quantum algorithm for the depth-two AND/OR
query problem that is better than any previously published result as
described in a paper entitled “Finding a Better-Than-Classical
Quantum AND/OR Algorithm using Genetic Programming” (Spector, Barnum,
Bernstein, and Swamy 1999) and a paper entitled “Quantum circuits for OR and
AND of ORs” (Barnum, Bernstein, and Spector 2000).
Basis for Claim of Human-Competitiveness
Referring to the eight criteria in table 1.2 of Genetic Programming IV: Routine Human-Competitive Machine Intelligence (Koza, Keane, Streeter, Mydlowec, Yu, and Lanza 2003) for establishing that an automatically created result is competitive with a human-produced result, the creation of a quantum algorithm for the depth-two AND/OR query problem that is better than any previously published result satisfies the following criterion:
(D) The
result is publishable in its own right as a new scientific result¾independent
of the fact that the result was mechanically created.
References
Barnum, H., Bernstein, H.J. and Spector, Lee. 2000. Quantum circuits for OR and AND of ORs. Journal of Physics A: Mathematical and General. 33(45)8047–8057. November 17, 2000. Click here for PDF version of this paper.
Koza, John R., Keane, Martin A., Streeter, Matthew J., Mydlowec, William, Yu, Jessen, and Lanza, Guido. 2003. Genetic Programming IV: Routine Human-Competitive Machine Intelligence. Kluwer Academic Publishers.
Spector, Lee, Barnum, Howard, Bernstein, Herbert J., and Swamy, N. 1999. Finding a better-than-classical quantum AND/OR algorithm using genetic programming. In IEEE. Proceedings of 1999 Congress on Evolutionary Computation. Piscataway, NJ: IEEE Press. Pages 2239–2246.
· The home page of Genetic Programming Inc. at www.genetic-programming.com.
· For information about the field of genetic programming and the field of genetic and evolutionary computation, visit www.genetic-programming.org
· The home page of John R. Koza at Genetic Programming Inc. (including online versions of most published papers) and the home page of John R. Koza at Stanford University
· For information about John Koza’s course on genetic algorithms and genetic programming at Stanford University
· Information about the 1992
book Genetic
Programming: On the Programming of Computers by Means of Natural Selection,
the 1994 book Genetic
Programming II: Automatic Discovery of Reusable Programs, the 1999
book Genetic
Programming III: Darwinian Invention and Problem Solving, and the
2003 book Genetic
Programming IV: Routine
Human-Competitive Machine Intelligence. Click here to read chapter 1 of Genetic
Programming IV book in PDF format.
· 3,440
published papers on genetic programming (as of November 28, 2003) in a
searchable bibliography (with many on-line versions of papers) by over 880 authors
maintained by William Langdon’s and Steven M. Gustafson.
· For information on the Genetic Programming and Evolvable Machines journal published by Kluwer Academic Publishers
· For information on the Genetic Programming book series from Kluwer Academic Publishers, see the Call For Book Proposals
· For information about the annual Genetic and Evolutionary Computation (GECCO) conference (which includes the annual GP conference) to be held on June 26–30, 2004 (Saturday – Wednesday) in Seattle and its sponsoring organization, the International Society for Genetic and Evolutionary Computation (ISGEC). For information about the annual Euro-Genetic-Programming Conference to be held on April 5-7, 2004 (Monday – Wednesday) at the University of Coimbra in Coimbra Portugal. For information about the 2003 and 2004 Genetic Programming Theory and Practice (GPTP) workshops held at the University of Michigan in Ann Arbor. For information about Asia-Pacific Workshop on Genetic Programming (ASPGP03) held in Canberra, Australia on December 8, 2003. For information about the annual NASA/DoD Conference on Evolvable Hardware Conference (EH) to be held on June 24-26 (Thursday-Saturday), 2004 in Seattle.
Last updated on December 30, 2003