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Evolving quantum computer algorithms
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Genetic And Evolutionary Computation Conference archive
Proceedings of the 11th Annual Conference Companion on Genetic and Evolutionary Computation Conference: Late Breaking Papers table of contents
Montreal, Québec, Canada
TUTORIAL SESSION: Tutorials table of contents
Pages 3287-3316  
Year of Publication: 2009
ISBN:978-1-60558-505-5
Author
Lee Spector  Hampshire College, Amherst, MA, USA
Sponsors
SIGEVO: ACM Special Interest Group on Genetic and Evolutionary Computation
ACM: Association for Computing Machinery
Publisher
ACM  New York, NY, USA
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ABSTRACT

Computer science will be radically transformed if ongoing efforts to build large-scale quantum computers eventually succeed and if the properties of these computers meet optimistic expectations. Nevertheless, computer scientists still lack a thorough understanding of the power of quantum computing, and it is not always clear how best to utilize the power that is understood. This dilemma exists because quantum algorithms are difficult to grasp and even more difficult to write. Despite large-scale international efforts, only a few important quantum algorithms are documented, leaving many essential questions about the potential of quantum algorithms unanswered.

These unsolved problems are ideal challenges for the application of automatic programming technologies. Genetic programming techniques, in particular, have already produced several new quantum algorithms and it is reasonable to expect further discoveries in the future. These methods will help researchers to discover how additional practical problems can be solved using quantum computers, and they will also help to guide theoretical work on both the power and limits of quantum computing.

This tutorial will provide an introduction to quantum computing and an introduction to the use of evolutionary computation for automatic quantum computer programming. No background in physics or in evolutionary computation will be assumed. While the primary focus of the tutorial will be on general concepts, specific results will also be presented, including human-competitive results produced by genetic programming. Follow-up material is available from the presenter's book, Automatic Quantum Computer Programming: A Genetic Programming Approach, published by Springer and Kluwer Academic Publishers.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
A. Steane, 1998. "Quantum Computing," Reports on Progress in Physics, vol. 61, pp. 117--173. http://xxx.lanl.gov/abs/quant-ph/9708022
 
2
P. Shor, 1998. "Quantum Computing," Documenta Mathematica, vol. Extra Volume ICM, pp. 467--486. http://east.camel.math.ca/EMIS/journals/DMJDMV/xvol-icm/00/Shor.MAN.ps.gz
 
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J. Preskill, 1997. "Quantum Computing: Pro and Con," Tech. Rep. CALT-68-2113, California Institute of Technology. http://xxx.lanl.gov/abs/quant-ph/9705032
 
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A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. Smolin, H. Weinfurter, 1995. "Elementary Gates for Quantum Computation," submitted to Physical Review A. http://xxx.lanl.gov/abs/quant-ph/9503016
 
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6
L. Spector and H.J. Bernstein. 2003. "Communication Capacities of Some Quantum Gates, Discovered in Part through Genetic Programming," in Proc. of the Sixth Intl. Conf. on Quantum Communication, Measurement, and Computing, edited by J.H. Shapiro and O. Hirota. Princeton, NJ: Rinton Press, Inc. pp. 500--503. http://hampshire.edu/lspector/pubs/spector-QCMC-prepress.pdf
 
7
H. Barnum, H.J. Bernstein, and L. Spector. 2000. Quantum circuits for OR and AND of ORs. Journal of Physics A: Mathematical and General, Vol. 33 No. 45 (17 November 2000), pp. 8047--8057. http://hampshire.edu/lspector/pubs/jpa.pdf
 
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L. Spector, H. Barnum, H.J. Bernstein, N. Swamy, 1999. "Finding a Better-Than-Classical Quantum AND/OR Algorithm Using Genetic Programming," in Proc. 1999 Congress on Evolutionary Computation, IEEE Press.
 
10
L. Spector, H. Barnum, H.J. Bernstein, 1998. "Genetic Programming for Quantum Computers," in Genetic Programming 1998: Proceedings of the Third Annual Conference, pp. 365--374, Morgan Kaufmann.
 
11
Automatic Quantum Computer Programming: A Genetic Programming Approach. By Lee Spector. Kluwer Academic Publishers, 2004, and Springer Science+Business Media, 2007.
 
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Explorations in Quantum Computing. By Colin P. Williams and Scott H. Clearwater. Springer-Verlag/Telos. 1997.
 
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18
Oxford's Center for Quantum Computation: http://www.qubit.org/
 
19
Stanford-Berkeley-MIT-IBM NMR Quantum Computation Project: http://squint.stanford.edu/
 
20
Quantum Information and Computation (Caltech - MIT - USC): http://theory.caltech.edu/~quic/index.html
 
21
Quantum Computation at ISI/USC: http://www.isi.edu/acal/quantum/quantum_intro.html
 
22
Los Alamos National Laboratory quantum physics e-print archive: http://xxx.lanl.gov/form/quant-ph
 
23
John Preskill's Physics 229 course web page (many good links): http://www.theory.caltech.edu/people/preskill/ph229/
 
24
Samuel L. Braunstein's on-line tutorial: http://www.sees.bangor.ac.uk/~schmuel/comp/comp.html
 
25
NIST Ion Storage Group: http://www.bldrdoc.gov/timefreq/ion/index.htm
 
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QGAME, Quantum Gate And Measurement Emulator: http://hampshire.edu/lspector/qgame.html