Quantum Fan-out is Powerful
by Peter Høyer and Robert Špalek
Theory of Computing, Volume 1(5), pp. 81-103, 2005
Bibliography with links to cited articles
[1] |
L. M. Adleman, J. DeMarrais, and M. A. Huang: Quantum computability.
SIAM Journal on Computing, 26(5):1524-1540, 1997.
[SICOMP:29363]. |
[2] |
A. Barenco, C. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor,
T. Sleator, J. A. Smolin, and H. Weinfurter: Elementary gates for quantum
computation.
Physical Review A, 52:3457-3467, 1995.
[PRA:10.1103/PhysRevA.52.3457,
arXiv:quant-ph/9503016]. |
[3] |
R. Beigel: The polynomial method in circuit complexity.
In Proc. of 8th IEEE Structure in Complexity Theory Conf., pp.
82-95, 1993.
[SCT:1993.336538]. |
[4] |
J. I. Cirac and P. Zoller: Quantum computations with cold trapped ions.
Phys. Rev. Lett., 74:4091-4094, 1995.
[PRL:10.1103/PhysRevLett.74.4091]. |
[5] |
R. Cleve and J. Watrous: Fast parallel circuits for the quantum Fourier
transform.
In Proc. of 41st IEEE FOCS, pp. 526-536, 2000.
[FOCS:10.1109/SFCS.2000.892140]. |
[6] |
D. Coppersmith: An approximate Fourier transform useful in quantum
factoring.
IBM technical report RC19642, quant-ph/0201067, 1994.
[arXiv:quant-ph/0201067]. |
[7] |
M. Fang, S. Fenner, F. Green, S. Homer, and Y. Zhang: Quantum lower
bounds for fanout.
2003.
[arXiv:quant-ph/0312208]. |
[8] |
S. A. Fenner: Implementing the fanout gate by a Hamiltonian.
2003.
[arXiv:quant-ph/0309163]. |
[9] |
N. Gershenfeld and I. Chuang: Bulk spin resonance quantum computation.
Science, 275:350-356, 1997.
[doi:10.1126/science.275.5298.350]. |
[10] |
F. Green, S. Homer, C. Moore, and C. Pollett: Counting, fanout, and the
complexity of quantum ACC.
Quantum Information and Computation, 2(1):35-65, 2002.
[arXiv:quant-ph/0106017]. |
[11] |
L. Hales and S. Hallgren: Quantum Fourier sampling simplified.
In Proc. of 31st ACM STOC, pp. 330-338, 1999.
[STOC:301250.301336]. |
[12] |
W. Hoeffding: Probability inequalities for sums of bounded random
variables.
J. Amer. Statist. Assoc., 58:13-30, 1963. |
[13] |
R. A. Horn and C. R. Johnson: Matrix Analysis.
Cambridge University Press, 1985. |
[14] |
P. Høyer and R. Spalek: Quantum circuits with unbounded fan-out.
In Proc. of 20th STACS, pp. 234-246, 2003.
LNCS 2607.
[STACS:80j4ju67n25kcf06]. |
[15] |
K. Mølmer and A. Sørensen: Multiparticle entanglement of hot
trapped ions.
Phys. Rev. Lett., 82:1835-1838, 1999.
[PRL:10.1103/PhysRevLett.82.1835]. |
[16] |
C. Moore: Quantum circuits: Fanout, parity, and counting.
1999.
[arXiv:quant-ph/9903046]. |
[17] |
C. Moore and M. Nilsson: Parallel quantum computation and quantum codes.
SIAM Journal on Computing, 31(3):799-815, 2002.
[SICOMP:35505,
arXiv:quant-ph/9808027]. |
[18] |
A. A. Razborov: Lower bounds for the size of circuits of bounded depth
with basis { &, ⊕ }.
Math. Notes Acad. Sci. USSR, 41(4):333-338, 1987. |
[19] |
P. W. Shor: Algorithms for quantum computation: discrete logarithms and
factoring.
In Proc. of 35th IEEE FOCS, pp. 124-134, 1994.
[FOCS:10.1109/SFCS.1994.365700]. |
[20] |
K.-Y. Siu, J. Bruck, T. Kailath, and T. Hofmeister: Depth efficient
neural networks for division and related problems.
IEEE Transactions on Information Theory, 39(3):946-956,
1993.
[TIT:10.1109/18.256501]. |
[21] |
R. Smolensky: Algebraic methods in the theory of lower bounds for
Boolean circuit complexity.
In Proc. of 19th ACM STOC, pp. 77-82, 1987.
[STOC:28395.28404]. |
[22] |
R. Spalek: Quantum circuits with unbounded fan-out.
Master's thesis, Faculty of Sciences, Vrije Universiteit, Amsterdam,
2002.
Shorter version and improved results in quant-ph/0208043.
[arXiv:quant-ph/0208043]. [ http ] |
[23] |
W. K. Wootters and W. H. Zurek: A single quantum cannot be cloned.
Nature, 299:802-803, 1982.
[doi:10.1038/299802a0]. |
[24] |
A. C-C. Yao: Probabilistic computations: Toward a unified measure of
complexity.
In Proc. of 18th IEEE FOCS, pp. 222-227, 1977. |
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