Abstract
The new Quantum Information Theory augurs powerful machines that obey the “entangled” logic of the subatomic world. Parallelism, entanglement, teleportation, no-cloning and quantum cryptography are typical peculiarities of this novel way of understanding computation. In this article, we highlight and explain these fundamental ingredients that make Quantum Computing potentially powerful.
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References
Schumacher, B.: Phys. Rev. A51, 2738 (1995); B. Schumacher, B., Nielsen, M.A.: Phys. Rev. A54, 2629 (1996).
Calixto, M.: On the hidden subgroup problem and efficient quantum algorithms. In: Alvarez-Estrada, R.F., Dobado, A., Fernández, L.A., Martín-Delgado, M.A., Munoz Sudupe, A. (eds.) Fundamental Physics Workshop in honor to A. Galindo, Aula Documental de Investigación, Madrid (2004)
Menezes, A., van Oorschot, P., Vanstone, S.: Handbook of Applied Cryptography. CRC Press, Boca Raton (1997)
Shor, P.W.: Algorithms for Quantum Computation: Discrete Log and Factoring. In: Goldwasser, S. (ed.) Proceedings of the 35th Annual Symposium on the Theory of Computer Science, p. 124. IEEE Computer Society Press, Los Alamitos (1994)
Grover, L.K.: Phys. Rev. Lett. 79, 325 (1997)
Cirac, J.I., Zoller, P.: Phys. Rev. Lett. 74, 4091 (1995)
Doyle, J.M., Friedrich, B.: Rev. Esp. Fis. 13, 15 (1999)
Aspect, A., Grangier, P., Roger, G.: Phys. Rev. Lett. 47, 460 (1981)
Einstein, A., Podolsky, B., Rosen, N.: Phys. Rev. 47, 777 (1935)
Bell, J.S.: Physics 1, 195 (1964); Rev. Mod. Phys. 38, 447 (1966)
Bennet, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)
Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Nature 390, 575 (1997)
Ekert, A.: Phys. Rev. Lett. 67, 661 (1991)
Preskill, J.: Lecture Notes for Physics 229 (1998)
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Calixto, M. (2007). Physical Basis of Quantum Computation and Cryptography. In: Mira, J., Álvarez, J.R. (eds) Bio-inspired Modeling of Cognitive Tasks. IWINAC 2007. Lecture Notes in Computer Science, vol 4527. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73053-8_2
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DOI: https://doi.org/10.1007/978-3-540-73053-8_2
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