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Molecular scale heat engines and scalable quantum computation. (English) Zbl 1345.81028

Vitter, Jeffrey Scott (ed.) et al., Proceedings of the 31st annual ACM symposium on theory of computing, STOC 1999. Atlanta, GA, USA, May 1–4, 1999. New York, NY: ACM, Association for Computing Machinery (ISBN 1-58113-067-8). 322-329 (1999).

MSC:

81P68 Quantum computation

Citations:

JFM 34.0058.06
Full Text: DOI

References:

[1] Bernstein, E. and Vazirani, U., “Quantum complexity theory”, Special issue o.f SIAM J. Comp., October, 1997. Proc. 25’th A CM Syrup. on Theory of Computing, 1993, pp. 11- 20. 10.1137/S0097539796300921 · Zbl 1310.68080
[2] \(. Carnot, Reflections on the Motive Power of Heat (18~~). ASME, New York 1943\)
[3] Chirac, J. and Zoller, P., Phys. Rev. Lett. 74, pp. 4091 (1995).
[4] I. Chuang, N. Gershenfeld and M. Kubinec, “Experimental Implementa ion of Fast Quantum Searching”, Physical Review Letters, 80({5) 3408-3411, 13 April t 998.}
[5] I.L. Chuang, L.M.K. Vandersypen, X. Zhou, D.W. Leung and S. Lloyd, “Experimental realization of a quantum algorithm”, Nature 393, 143-146 (1998).
[6] Chuang, l., Yamamoto, Y., Phys. Rev. Left. 52, pp. 3489 (1995).
[7] Cleve, R., and DiVincenzo, D., “Schumacher”s quantum da a compression as a quantum computation”, Phys Rev A 54, 1636, 1996.
[8] tory, D. G., Fahmy, A. F., and Havel, T. F. “Ensemble Quantum Computing by Nuclear Magnetic Resonance Spectroscopy”, Proc. Na i. Acad. Sci., 94:1634- 1639, 1997.
[9] D. (3. Cory, W. Mass, M. Price, E. Knill, R. Lmqamme, W. H. Zurek, T. F. Havel and S. S. Soma oo, “Experimental Quantum Error Correction”, t998.
[10] T. M. Cover and J. A. Thomas, Elements of Information Theory, Wiley 1991. · Zbl 0762.94001
[11] Deutsch, D. and Jozsa, R., “Rapid solution of problems by quantum computation”, Proc. Royal Society London, vol. A439, 1992, pp. 553-558. · Zbl 0792.68058
[12] Domokos, P., Rainond, J., Brune, M., Horache, S., Phys. Rev. Lett. 52, pp. 3554 (1995).
[13] P. Elias, “The efficient construction of an unbiased random sequence”, Ann. Math. Statist. 43 865-870, 1972. · Zbl 0245.65003
[14] R. P. Feynman, R. B. Leighton and M. Sands, The Feynman Lectures on Physics, vol. i, Addison-Wesley 1964. · Zbl 1322.74001
[15] Gershenfeld, N., Chuang, I., Science, 275, pp. 350 (I997).
[16] G. Hardy, J. E. Littlewood axed G. P61ya, Inequalities, second edition, Cambridge University Press, 1952.
[17] B. Kane, Nature 393 1998, 133-137.
[18] \(. Lloyd, ``A Potentially Realizable Quantum Computer''. Science, 17 September t993 1569-1571\)
[19] A. W. Marshal · Zbl 0437.26007
[20] J. yon Neumann, “Various Techniques used in connection with random digits”, National Bureau of Standards Applied Mathematics Series 12 36-38 1951.
[21] Y. Peres, “l era ing yon Neumann”s Procedure for Extracting Random Bits”, Ann  Star. 20 (t): 590-597 1992. · Zbl 0754.60040
[22] B. Schumacher, “Quantum Coding”, Phys. Rev. A. 5 , 2738 (1995).
[23] Shor, P.W., “Algorithms for quantum computation: Discrete logarithms and factoring”, Special issue of Siam J. Comp., October, I997. Proc. 35’th Annual IEEE Syrup. on Foundations of Computer Science, 1994, pp. 124 - 134.
[24] Simon, D., “On the power of quantum computation”, Special issue of Siam J. Comp., October, 1997. Proc. 35’th Annual IEEE Syrup. on Foundations o
[25] M. Tribus, Thermostatics and Thermodynamics, van Nostrand 1961.
[26] Turchette, Q., Phys. Rev. Lett. 75, pp. 4710 (1995).
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