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Elementary Gates for Quantum Computation (1995)  (Make Corrections)  (124 citations)
Adriano Barenco, Charles H. Bennett, Richard Cleve, David P. Di Vincenzo, Norman Margolus, Peter Shor, Tycho Sleator, John Smolin, Harald Weinfurter
Physical Review A



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Abstract: We show that a set of gates that consists of all one-bit quantum gates (U(2)) and the two-bit exclusive-or gate (that maps Boolean values (x; y) to (x; x \Phi y)) is universal in the sense that all unitary operations on arbitrarily many bits n (U(2 n )) can be expressed as compositions of these gates. We investigate the number of the above gates required to implement other gates, such as generalized Deutsch-Toffoli gates, that apply a specific U(2) transformation to one input bit if and... (Update)

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BibTeX entry:   (Update)

Barenco, Adriano, Charles Bennett, Richard Cleve, David P. DiVincenzo, Norman Margolus, Peter Shor, Tycho Sleator, John A. Smolin, and Harald Weinfurter, Elementary gates for quantum computation, Phys. Rev. A, Vol. 52, No. 5, November, 1995, pp 3457 - 3467. http://citeseer.ist.psu.edu/article/barenco95elementary.html   More

@article{ barenco95elementary,
    author = "Adriano Barenco and Charles H.~Bennett and Richard Cleve and David P.~DiVincenzo and Norman H.~Margolus and Peter W.~Shor and Tycho Sleator and John A.~Smolin and Harald Weinfurter",
    title = "Elementary gates for quantum computation",
    journal = "Physical Review A",
    volume = "52",
    number = "5",
    pages = "3457--3467",
    year = "1995",
    url = "citeseer.ist.psu.edu/article/barenco95elementary.html" }
Citations (may not include all citations):
173   Quantum complexity theory - Bernstein, Vazirani - 1993  ACM   DBLP
144   the power of quantum computation - Simon - 1994
126   Rapid solution of problems by quantum computation (context) - Deutsch, Jozsa - 1992  ACM
86   Conservative Logic (context) - Fredkin, Toffoli - 1982  ACM
85   Quantum Circuit Complexity - Yao - 1993  DBLP
73   Quantum mechanical computers (context) - Feynman - 1985
70   Quantum computational networks (context) - Deutsch - 1989
57   Algorithms for quantum computation: discrete log and factori.. - Shor - 1994
49   Two-bit gates are universal for quantum computation - DiVincenzo - 1995
48   Quantum theory, the Church-Turing principle and the universa.. - Deutsch - 1985
46   Quantum computations with cold trapped ions (context) - Cirac, Zoller - 1994
36   Oracle quantum computing - Berthiaume, Brassard - 1992
34   Quantum mechanical Hamiltonian models of Turing machines (context) - Benioff - 1982
30   Reversible Computing (context) - Toffoli - 1980
25   On Quantum Coding - Schumacher - 1995
24   Universality in quantum computation - Deutsch, Barenco et al. - 1995
24   A New Proof of the Quantum Noiseless Coding Theorem - Jozsa, Schumacher - 1994
23   Maintaining coherence in quantum computers (context) - Unruh - 1995
21   Parallel Quantum Computation - Margolus - 1990
18   A universal two-bit gate for quantum computation (context) - Barenco - 1994
16   Almost any quantum logic gate is universal (context) - Lloyd - 1994
14   Experimental realization of any discrete unitary operator (context) - Reck, Zeilinger et al. - 1994
10   A simple quantum computer (context) - Chuang, Yamamoto - 1994
9   Quantum Computers, Factoring and Decoherence - Chuang, Laflamme et al. - 1995
8   Reversible logic and quantum computers (context) - Peres - 1985
8   Is quantum mechanics useful (context) - Landauer
8   The stabilisation of quantum computations - Berthiaume, Deutsch et al. - 1994
7   Realizable universal quantum logic gates (context) - Sleator, Weinfurter - 1994
4   Logic gates for quantum circuits (context) - Barenco, Deutsch et al. - 1994
2   Realization of the Fredkin gate using a series of one- and t.. (context) - Chau, Wilczek - 1995



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Documents on the same site (http://www.research.att.com/~shor/papers/):   More
Algorithms for Quantum Computation: Discrete Logarithms and.. - Shor (1994)   (Correct)
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Cube Tilings of Rn and Nonlinear Codes - Lagarias, Shor   (Correct)

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