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Quantum Complexity Theory (1997)  (Make Corrections)  (173 citations)
Ethan Bernstein, Umesh Vazirani



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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" }
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173   Quantum complexity theory - Bernstein, Vazirani - 1993
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118   the Church-Turing principle and the universal quantum comput.. (context) - Deutsch - 1985
116   Simulating physics with computers - Feynman - 1982
102   Strengths and weaknesses of quantum computing - Bennett, Bernstein et al.
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86   Conservative Logic (context) - Fredkin, Toffoli - 1982
85   Quantum circuit complexity - Yao - 1993
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49   Two-bit gates are universal for quantum computation - DiVincenzo - 1995
45   Fault-tolerant quantum computation - Shor - 1996
42   The quantum challenge to structural complexity theory - Berthiaume, Brassard - 1992
37   A potentially realizable quantum computer (context) - Lloyd - 1993
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26   space tradeoffs for reversible computation (context) - Bennett - 1989
23   Maintaining coherence in quantum computers (context) - Unruh - 1995
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