(Enter summary)
Abstract: In this paper we study quantum computation from a complexity theoretic viewpoint. Our first result
is the existence of an efficient universal quantum Turing Machine in Deutsch's model of a quantum Turing
Machine [20]. This construction is substantially more complicated than the corresponding construction
for classical Turing Machines - in fact, even simple primitives such as looping, branching and composition
are not straightforward in the context of quantum Turing Machines. We establish... (Update)
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BibTeX entry: (Update)
Bernstein, E. and U. Vazirani, Quantum complexity theory. In Proceedings of the 25th ACM Symposium on the Theory of Computation. New York: ACM Press, pp. 11-20, (1993). http://citeseer.ist.psu.edu/article/bernstein97quantum.html More
@inproceedings{ bernstein93quantum,
author = "Ethan Bernstein and Umesh Vazirani",
title = "Quantum complexity theory",
pages = "11--20",
year = "1993",
url = "citeseer.ist.psu.edu/article/bernstein97quantum.html" }
Citations (may not include all citations):
175
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Quantum complexity theory
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Quantum complexity theory
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Elementary gates for quantum computation
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the Church-Turing principle and the universal quantum comput.. (context) - Deutsch - 1985
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Simulating physics with computers
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102
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Arthur--Merlin games: a randomized proof system (context) - Babai, Moran - 1988
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Conservative Logic (context) - Fredkin, Toffoli - 1982
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Quantum circuit complexity
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Quantum computational networks (context) - Deutsch - 1989
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Good quantum error correcting codes exist
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Two-bit gates are universal for quantum computation
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A potentially realizable quantum computer (context) - Lloyd - 1993
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space tradeoffs for reversible computation (context) - Bennett - 1989
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Maintaining coherence in quantum computers (context) - Unruh - 1995
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Quantum mechanics (context) - Cohen-Tannoudji, Diu et al. - 1977
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Quantum computability (context) - Adleman, DeMarrais et al. - 1994
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the Role of the Cook-Levin Theorem in Complexity Theory (context) - Arora, Impagliazzo et al. - 1993
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Random polynomial time is equal to semi-random polynomial ti.. (context) - Vazirani, Vazirani - 1985
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