(Enter summary)
Abstract: We analyse dissipation in quantum computation and its destructive
impact on efficiency of quantum algorithms. Using a general
model of decoherence we study the time evolution of a quantum
register of arbitrary lenght coupled with an environment of arbitrary
coherence lenght. We discuss relations between decoherence
and computational complexity and show that the quantum factorisation
algorithm must be modified in order to be regarded as efficient
and realistic.
1 Introduction
Quantum computers... (Update)
Context of citations to this paper: More
.... failure A number of papers have expressed pessimism regarding the question of error accumulation in quantum computers, e.g. [30, 29, 46, 47, 12, 36]. These papers show that in the absence of error correction, the probability of error increases exponentially with both the...
.... be physically realizable, 49, 25, 18] but as any physical system, they in principle will be subjected to noise, such as decoherence[75, 71, 53], and inaccuracies. Without error corrections, the e ect of noise can accumulate and ruin the entire computation[71, 16] hence the...
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BibTeX entry: (Update)
G. M. Palma, K.-A. Suominen, and A. K. Ekert (1995) "Quantum computers and dissipation, " preprint. http://citeseer.ist.psu.edu/palma95quantum.html More
@article{ palma95quantum,
author = "G.~Massimo Palma and Kalle-Antti Suominen and Artur K.~Ekert",
title = "Quantum computers and dissipation",
journal = "Proceedings of the Royal Society of London Ser.~A",
year = "1995",
url = "citeseer.ist.psu.edu/palma95quantum.html" }
Citations (may not include all citations):
39
Modern Theory of Critical Phenomena (context) - Ma - 1976
21
Quantum Mechanics (context) - Cohen-Tannoudji, Diu et al. - 1977
17
MIT Laboratory for Computer Science (context) - Rivest, Shamir et al. - 1979
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Optical Resonance and Two-Level Atoms (context) - Allen, Eberly - 1975
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Physics Today (context) - Zurek - 1991
4
th ACM Symposium on the Theory of Computation (context) - Bernstein, Vazirani - 1993
2
Quantum Noise Berlin: Springer Verlag (context) - Gardiner - 1991
2
th ACM Symposium on the Theory of Computation (context) - Lenstra, Lenstra et al. - 1990
1
Private communication (context) - Kimble, Mabuchi - 1995
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