@ARTICLE(adh:qcomputability, author = "L. M. Adleman and J. DeMarrais and M. A. Huang", title = "Quantum Computability", journal = "SIAM Journal on Computing", year = "1997", volume = "26", number = "5", pages = "1524--1540", eprint = {sicomp:29363} ) @ARTICLE(bbc:gates, author = "A. Barenco and C. Bennett and R. Cleve and D. P. DiVincenzo and N. Margolus and P. Shor and T. Sleator and J. A. Smolin and H. Weinfurter", title = "Elementary gates for quantum computation", journal = "Physical Review A", year = "1995", volume = "52", pages = "3457--3467", eprint = {pra:10.1103/PhysRevA.52.3457,arxiv:quant-ph/9503016} ) @INPROCEEDINGS(beigel:polmethod, author = "R. Beigel", title = "The polynomial method in circuit complexity", booktitle = "Proc. of 8th IEEE Structure in Complexity Theory Conf.", year = "1993", pages = "82--95", eprint = {SCT:1993.336538} ) @ARTICLE(cz:qc-ion, author = "J. I. Cirac and P. Zoller", title = "Quantum computations with cold trapped ions", journal = "Phys. Rev. Lett.", year = "1995", volume = "74", pages = "4091--4094", eprint = {prl:10.1103/PhysRevLett.74.4091} ) @INPROCEEDINGS(cw:qft, author = "R. Cleve and J. Watrous", title = "Fast parallel circuits for the quantum {Fourier} transform", booktitle = "Proc. of 41st IEEE FOCS", year = "2000", pages = "526--536", eprint = {focs:10.1109/SFCS.2000.892140} ) @UNPUBLISHED{coppersmith:qft, AUTHOR = "D. Coppersmith", TITLE = "An approximate {Fourier} transform useful in quantum factoring", YEAR = 1994, NOTE = "IBM technical report RC19642, quant-ph/0201067", eprint = {arxiv:quant-ph/0201067} } @UNPUBLISHED(ffghz:fanout, author = "M. Fang and S. Fenner and F. Green and S. Homer and Y. Zhang", title = "Quantum Lower Bounds for Fanout", year = "2003", eprint = {arxiv:quant-ph/0312208} ) @UNPUBLISHED(fenner:fanout, author = "S. A. Fenner", title = "Implementing the fanout gate by a {Hamiltonian}", year = "2003", eprint = {arxiv:quant-ph/0309163} ) @ARTICLE(gh:qc-nmr, author = "N. Gershenfeld and I. Chuang", title = "Bulk spin resonance quantum computation", journal = "Science", year = 1997, volume = 275, pages = "350--356", doi = {10.1126/science.275.5298.350}, eprint = {} ) @ARTICLE(ghmp:qacc, author = "F. Green and S. Homer and C. Moore and C. Pollett", title = "Counting, Fanout, and the Complexity of Quantum {ACC}", journal = "Quantum Information and Computation", year = "2002", volume = "2", number = "1", pages = "35--65", eprint = {arxiv:quant-ph/0106017} ) @INPROCEEDINGS(hh:qft, author = "L. Hales and S. Hallgren", title = "Quantum {Fourier} sampling simplified", booktitle = "Proc. of 31st ACM STOC", year = "1999", pages = "330-338", eprint = {stoc:301250.301336} ) @ARTICLE(hoeffding:probineq, author = "W. Hoeffding", title = "Probability inequalities for sums of bounded random variables", journal = "J. Amer. Statist. Assoc.", year = "1963", volume = "58", pages = "13--30" ) @BOOK(hj:matrix-book, author = "R. A. Horn and C. R. Johnson", title = "Matrix Analysis", publisher = "Cambridge University Press", year = "1985", ) @INPROCEEDINGS(spalek:qncwf-stacs, author = "P. H{\o}yer and R. {\v S}palek", title = "Quantum circuits with unbounded fan-out", booktitle = "Proc. of 20th STACS", year = "2003", pages = "234--246", note = "LNCS 2607", eprint = {stacs:80j4ju67n25kcf06} ) @ARTICLE(ms:ions, author = "K. M{\o}lmer and A. S{\o}rensen", title = "Multiparticle entanglement of hot trapped ions", journal = "Phys. Rev. Lett.", year = "1999", volume = "82", pages = "1835--1838", eprint = {prl:10.1103/PhysRevLett.82.1835} ) @UNPUBLISHED(moore:fanout, author = "C. Moore", title = "Quantum Circuits: Fanout, Parity, and Counting", year = "1999", eprint = {arxiv:quant-ph/9903046} ) @ARTICLE(moore:parallel-qc, author = "C. Moore and M. Nilsson", title = "Parallel quantum computation and quantum codes", journal = "SIAM Journal on Computing", year = "2002", volume = "31", number = "3", pages = "799--815", eprint = {sicomp:35505,arxiv:quant-ph/9808027} ) @ARTICLE(razborov:circsize, author = "A. A. Razborov", title = "Lower bounds for the size of circuits of bounded depth with basis $\{ \&, \oplus \}$", journal = "Math. Notes Acad. Sci. USSR", year = "1987", volume = "41", number = "4", pages = "333--338" ) @INPROCEEDINGS(shor:factoring, author = "P. W. Shor", title = "Algorithms for quantum computation: discrete logarithms and factoring", booktitle = "Proc. of 35th IEEE FOCS", year = "1994", comment = "Los Alamitos, CA", pages = "124--134", eprint = {focs:10.1109/SFCS.1994.365700} ) @ARTICLE(sbkh:division-circ, author = "K.-Y. Siu and J. Bruck and T. Kailath and T. Hofmeister", title = "Depth Efficient Neural Networks for Division and Related Problems", journal = "{IEEE} Transactions on Information Theory", year = "1993", volume = "39", number = "3", pages = "946--956", eprint = {TIT:10.1109/18.256501} ) @INPROCEEDINGS(smolensky:algmethods, author = "R. Smolensky", title = "Algebraic methods in the theory of lower bounds for {Boolean} circuit complexity", booktitle = "Proc. of 19th ACM STOC", year = "1987", pages = "77--82", eprint = {stoc:28395.28404} ) @MASTERSTHESIS(spalek:thesis-qncwf-uploaded, author = "R. {\v S}palek", title = "Quantum circuits with unbounded fan-out", school = "Faculty of Sciences, Vrije Universiteit", address = "Amsterdam", year = "2002", url = "http://www.ucw.cz/~robert/qncwf/", note = "Shorter version and improved results in quant-ph/0208043", eprint = {arxiv:quant-ph/0208043} ) @ARTICLE(wz:noclone, author = "W. K. Wootters and W. H. Zurek", title = "A single quantum cannot be cloned", journal = "Nature", year = "1982", volume = "299", pages = "802--803", doi = {10.1038/299802a0}, eprint = {} ) @INPROCEEDINGS{yao:unified, AUTHOR = "A. C-C. Yao", TITLE = "Probabilistic computations: Toward a unified measure of complexity", BOOKTITLE = "Proc. of 18th IEEE FOCS", PAGES = "222--227", YEAR = 1977 }