Next: On-line references
Up: A brief overview of
Previous: Finis
-
- 1
-
Abrams D S and Lloyd S,
Non-Linear Quantum Mechanics implies Polynomial Time
solution for NP-complete and
P problems,
http://xxx.lanl.gov/abs/quant-ph/9801041
- 2
-
Aharonov D, Beckman D, Chuang I and Nielsen M,
What Makes Quantum Computers Powerful?
http://wwwcas.phys.unm.edu/~mnielsen/science.html
- 3
-
Aharonov, D., Quantum Computation,
Annual Reviews of Computational Physics VI,
Edited by Dietrich Stauffer, World Scientific, 1998
- 4
-
Barenco A
A universal two-bit gate for quantum computation,
Proc. R. Soc. Lond. A 449 679-683, 1995
- 5
-
Barenco A, Deutsch D, Ekert E and Jozsa R,
Conditional quantum dynamics and quantum gates,
Phys. Rev. Lett. 74 4083-4086, 1995
- 6
-
Barenco A, Bennett C H, Cleve R, DiVincenzo D P, Margolus N,
Shor P, Sleator T, Smolin J A and Weinfurter H,
Elementary gates for quantum computation,
Phys. Rev. A 52, 3457-3467, 1995
- 7
-
Bell J S
On the Einstein-Podolsky-Rosen paradox,
Physics 1 195-200, 1964
- 8
-
Bell J S
On the problem of hidden variables in quantum theory,
Rev. Mod. Phys. 38 447-52, 1966
Speakable and unspeakable in quantum mechanics 1987
(Cambridge University Press)
- 9
-
Bennett C H, Brassard G, Crépeau C, Jozsa R, Peres A and
Wootters W K
Teleporting an unknown quantum state via dual classical and
Einstein-Podolsky-Rosen channels,
Phys. Rev. Lett. 70 1895-1898, 1993
- 10
-
Bennett C H, DiVincenzo D P, Smolin J A
and Wootters W K
Mixed state entanglement and quantum error correction,
Phys. Rev. A 54 3825, 1996
- 11
-
Bennett C H, Bernstein E, Brassard G and Vazirani U
Strengths and Weaknesses of quantum computing,
SIAM Journal of Computation
26 5 pp 1510-1523 October, 1997
- 12
-
Boyer M, Brassard G, Hoyer P and Tapp A,
Tight bounds on quantum searching,
in Fortsch.Phys. 46, (1998) pp. 493-506
- 13
-
Brassard G,
Searching a quantum phone book,
Science 275 627-628 1997
- 14
-
Calderbank A R and Shor P W,
Good quantum error-correcting codes exist,
Phys. Rev. A 54 1098-1105, 1996
- 15
-
Chuang I L, Laflamme R, Shor P W and Zurek W H,
Quantum computers, factoring, and decoherence,
Science 270 1633-1635, 1995
- 16
-
Chuang I L, Laflamme R and Paz J P,
Effects of Loss and Decoherence on a Simple Quantum Computer,
http://xxx.lanl.gov/abs/quant-ph/9602018
- 17
-
Clausen M,
Fast Generalized Fourier transforms,
Theoret. Comput. Sci. 56 55-63 1989
- 18
-
Coppersmith D,
An approximate Fourier transform useful in quantum factoring,
IBM Research Report RC 19642, 1994
- 19
-
Cormen T, Leiserson C and Rivest R,
Introduction to Algorithms,
(pp 776-800 for FFT, 837-844 for primality test, 812 for extended Euclid
algorithm, 834-836 for RSA cryptosystem) MIT press, 1990
- 20
- Cory D G, Fahmy A F, and Havel T F,
Nuclear magnetic resonance spectroscopy: an experimentally
accessible paradigm for quantum computing, in Proc. of the 4th
Workshop on Physics and Computation (Complex Systems Institute,
Boston, New England) 1996
- 21
-
Deutsch D,
Quantum theory, the Church-Turing principle and the
universal quantum computer,
In Proc. Roy. Soc. Lond. A 400 97-117, 1985
- 22
-
Deutsch D,
Quantum computational networks,
In Proc. Roy. Soc. Lond. A 425 73-90, 1989
- 23
-
Deutsch D and Jozsa R,
Rapid solution of problems by quantum computation,
In Proc. Roy. Soc. Lond A 439 553-558, 1992
- 24
-
Deutsch D, Barenco A and Ekert A,
Universality in quantum computation,
In Proc. R. Soc. Lond. A 449 669-677, 1995
- 25
-
DiVincenzo D P,
Two-bit gates are universal for quantum computation,
Phys. Rev. A 51 1015-1022 1995
- 26
-
DiVincenzo D P,
Quantum computation,
Science 270 255-261 1995
- 27
-
Einstein A, Rosen N and Podolsky B,
Phys. Rev. 47, 777 1935
- 28
-
Ekert A and Jozsa R
Quantum computation and Shor's factoring algorithm,
Rev. Mod. Phys. 68 733 1996
- 29
-
Feynman R P
Simulating physics with computers,
In Int. J. Theor. Phys. 21 467-488, 1982
- 30
-
Feynman R P,
Quantum mechanical computers,
In Found. of Phys. 16 507-531, 1986
see also Optics News February 1985, 11-20.
- 31
-
R. Feynman,
Feynman lectures on computation, 1996.
- 32
-
Garey M R and Johnson D S,
Computers and Intractability,
published by Freeman and Company,
New York,
1979
- 33
-
Gershenfeld N A and Chuang I L
Bulk spin-resonance quantum computation,
Science, 275:350-356, 1997.
- 34
-
Grover L K,
Quantum mechanics helps in searching for a needle in a haystack,
Phys. Rev. Lett. 79, 325-328 1997
and the original STOC paper:
A fast quantum mechanical algorithm for database search
Proc. of the 28th Annual ACM Symposium on
Theory of Computing (STOC) 212-221, 1996
- 35
-
Grover L K,
A framework for fast quantum mechanical algorithms,
http://xxx.lanl.gov/abs/quant-ph/9711043
- 36
-
Grover L K,
Quantum computers can search arbitrarily large databases by a single query
in Phys. Rev. Let. 79 23, 4709-4712, 1997
- 37
-
Grover L K,
A fast quantum mechanical algorithm for estimating the median,
http://xxx.lanl.gov/abs/quant-ph/9607024
- 38
-
Hagley E et. al,
Generation of Einstein Podolsky Rosen pairs of atoms,
Phys. Rev. Lett, 79, 1-5, 1997
- 39
-
Hamming R W 1986
Coding and information theory, 2nd ed,
(Prentice-Hall, Englewood Cliffs)
- 40
-
Hardy G H and Wright E M 1979
An introduction to the theory of numbers
(Clarendon Press, Oxford)
- 41
-
Haroche S and Raimond J-M 1996
Quantum computing: dream or nightmare?
Phys. Today August 51-52
- 42
-
Hodges A 1983
Alan Turing: the enigma
(Vintage, London)
- 43
-
Hungerford T W, 1974
Algebra
(Springer-Verlag, New York)
- 44
-
A. J. Jones, M. Mosca and R. H. Hansen,
Implementation of a Quantum Search Algorithm on a Nuclear Magnetic
Resonance Quantum Computer, in
Nature 393 (1998) 344-346, and see also A. J. Jones and M. Mosca,
Implementation of a Quantum Algorithm to Solve Deutsch's Problem on a
Nuclear Magnetic Resonance Quantum Computer,
in J. Chem. Phys. 109 (1998) 1648-1653
- 45
-
Knill E and Laflamme R 1997
A theory of quantum error-correcting codes,
Phys. Rev. A 55 900-911
- 46
-
Knill E, Laflamme R and Zurek W H 1997
Resilient quantum computation: error models and thresholds
http://xxx.lanl.gov/abs/quant-ph/9702058
- 47
-
Knuth D E 1981
The Art of Computer Programming, Vol. 2: Seminumerical Algorithms,
2nd ed (Addison-Wesley).
- 48
-
Lipton R J,
Using DNA to solve NP-complete problems.
Science, 268 542-545, Apr. 28, 1995
- 49
-
Lloyd S 1995
Almost any quantum logic gate is universal,
Phys. Rev. Lett. 75, 346-349
- 50
-
Margolus N 1990
Parallel Quantum Computation,
in Complexity, Entropy and the Physics of
Information, Santa Fe Institute Studies in the Sciences
of Complexity, vol VIII p. 273
ed Zurek W H (Addison-Wesley)
- 51
-
von Neumann,
Probabilistic logic and the synthesis of reliable organisms
from unreliable components,
in automata studies( Shanon,McCarthy eds), 1956
- 52
-
Papadimitriou C H,
Computational Complexity,
Addison-Wesley,
1994
- 53
-
Peres A 1993
Quantum theory: concepts and methods
(Kluwer Academic Press, Dordrecht)
- 54
-
Preskill J 1997
Fault tolerant quantum computation,
to appear in Introduction to Quantum
Computation, edited by H.-K. Lo, S. Popescu, and T. P. Spiller
http://xxx.lanl.gov/abs/quant-ph/9712048
- 55
-
Preskill J, Kitaev A, Course notes for Physics 229, Fall 1998, Caltech Univ.,
http://www.theory.caltech.edu/people/preskill/ph229
- 56
-
Rieffel E, Polak W
An Introduction to Quantum Computing for Non-Physicists
http://xxx.lanl.gov/abs/quant-ph/9809016
- 57
-
Rivest R, Shamir A and Adleman L 1979
On digital signatures and public-key cryptosystems,
MIT Laboratory for Computer Science, Technical Report, MIT/LCS/TR-212
- 58
-
J.J.Saqurai
Modern Quantum Mechanics, revised edition.
Addison Wesley, 1994
- 59
-
Shannon C E 1948
A mathematical theory of communication
Bell Syst. Tech. J. 27 379; also p. 623
- 60
-
Shor P W,
Polynomial-time algorithms for prime factorization and
discrete logarithms on a quantum computer,
SIAM J. Comp., 26, No. 5, pp 1484-1509,
October 1997
- 61
-
Steane A M,
Error correcting codes in quantum theory,
Phys. Rev. Lett. 77 793-797, 1996,
Simple quantum error-correcting codes,
Phys. Rev. A 54, 4741-4751, 1996,
Quantum Reed-Muller codes,
submitted to IEEE Trans. Inf. Theory (preprint in LANL e-print quant-ph/9608026,
http://xxx.lanl.gov)
Active stabilization, quantum computation, and quantum state synthesis,
Phys. Rev. Lett. 78, 2252-2255, 1997
- 62
-
Steane A,
Quantum Computation, Reports on Progress in Physics 61 (1998) 117, preprint in
http://xxx.lanl.gov/abs/quant-ph/9708022
- 63
-
Toffoli T 1980
Reversible computing,
in Automata, Languages and Programming, Seventh Colloquium,
Lecture Notes in Computer Science, Vol. 84, de Bakker J W and
van Leeuwen J, eds, (Springer) 632-644
- 64
-
Turing A M 1936
On computable numbers, with an application to the
Entschneidungsproblem,
Proc. Lond. Math. Soc. Ser. 2 42, 230 ; see also
Proc. Lond. Math. Soc. Ser. 2 43, 544
- 65
-
Wheeler J A and Zurek W H, eds, 1983
Quantum theory and measurement
(Princeton Univ. Press, Princeton, NJ)
- 66
-
Wootters W K and Zurek W H 1982
A single quantum cannot be cloned,
Nature 299, 802
- 67
-
Zalka C,
Grover's quantum searching algorithm is optimal,
http://xxx.lanl.gov/abs/quant-ph/9711070
- 68
-
Zurek W H,
Decoherence and the transition from quantum to classical,
Physics Today 44(10), October, 1991 36-44.
Tom Carter
1999-05-17