@STRING{siamjc = "SIAM Journal on Computing"} @STRING{eatcsbul = "EATCS Bulletin"} @STRING{springer = "Springer"} @STRING{cup = "Cambridge University Press"} @ARTICLE(ambainis:lowerb, author = "A. Ambainis", title = "Quantum lower bounds by quantum arguments", journal = "Journal of Computer and System Sciences", year = "2002", volume = "64", number=4, pages = "750--767", note = "Earlier version in STOC '00", comment = "quant-ph/0002066", eprint="jcss:10.1006/jcss.2002.1826,stoc:335305.335394,arxiv:quant-ph/0002066" ) @INPROCEEDINGS(ambainis:degree-vs-qc, author = "A. Ambainis", title = "Polynomial degree {vs.} quantum query complexity", booktitle = "Proc. of 44th IEEE FOCS", year = "2003", pages = "230--239", eprint="focs:10.1109/SFCS.2003.1238197,arxiv:quant-ph/0305028" ) @INPROCEEDINGS(ambainis:eldist, author = "A. Ambainis", title = "Quantum walk algorithm for element distinctness", booktitle = "Proc. of 45th IEEE FOCS", year = 2004, pages = "22--31", comment = "quant-ph/0311001", eprint="arxiv:quant-ph/0311001" ) @ARTICLE(ambainis:collision, author = "A. Ambainis", title = "Polynomial Degree and Lower Bounds in Quantum Complexity: Collision and Element Distinctness with Small Range", journal = "Theory of Computing", volume = 1, pages = "37--46", year = 2005, comment = "quant-ph/0305179", eprint="toc:v001/a003,arxiv:quant-ph/0305179" ) @ARTICLE(as:collision, author = "S. Aaronson and Y. Shi", title = "Quantum lower bounds for the collision and the element distinctness problem", journal = jacm, volume = "51", number = "4", pages = "595--605", year = "2004", comment = "quant-ph/0111102", eprint="jacm:1008731.1008735,arxiv:quant-ph/0111102" ) @ARTICLE(bbbv:hybrid, author = "H. Bennett and E. Bernstein and G. Brassard and U. Vazirani", title = "Strengths and Weaknesses of Quantum Computing", journal = siamjc, volume = 26, number = 5, pages = "1510--1523", year = "1997", comment = "quant-ph/9701001", eprint="sicomp:30093,arxiv:quant-ph/9701001" ) @ARTICLE{bbcmw:polynomialsj, AUTHOR = "R. Beals and H. Buhrman and R. Cleve and M. Mosca and Wolf, R. {de}", TITLE = "Quantum Lower Bounds by Polynomials", JOURNAL = jacm, VOLUME = 48, NUMBER = 4, PAGES = "778--797", YEAR = 2001, NOTE = "Earlier version in FOCS '98", comment = "quant-ph/9802049", eprint="jacm:502090.502097,focs:10.1109/SFCS.1998.743485,arxiv:quant-ph/9802049" } @ARTICLE(bs:q-read-once, author = "H. Barnum and M. Saks", title = "A lower bound on the quantum query complexity of read-once functions", journal = jcss, volume = 69, number = 2, pages = "244--258", year = 2004, comment = "quant-ph/0201007", eprint="jcss:10.1016/j.jcss.2004.02.002,arxiv:quant-ph/0201007" ) @INPROCEEDINGS{bs:matrix, AUTHOR = "H. Buhrman and R. {\v{S}}palek", TITLE = "Quantum Verification of Matrix Products", BOOKTITLE = "Proc. of 17th ACM-SIAM SODA", YEAR = 2006, PAGES = "880--889", comment = "quant-ph/0409035", eprint="soda:1109557.1109654,arxiv:quant-ph/0409035" } @INPROCEEDINGS(bss:semidef, author = "H. Barnum and M. Saks and M. Szegedy", title = "Quantum decision trees and semidefinite programming", booktitle = "Proc. of 18th IEEE Complexity", year = "2003", pages = "179--193", eprint="ccc:10.1109/CCC.2003.1214419" ) @ARTICLE{buhrman&wolf:dectreesurvey, AUTHOR = "H. Buhrman and Wolf, R. {de}", TITLE = "Complexity Measures and Decision Tree Complexity: {A} Survey", JOURNAL = tcs, VOLUME = 288, NUMBER = 1, PAGES = "21--43", YEAR = 2002, eprint="tcs:10.1016/S0304-3975(01)00144-X", ps="http://homepages.cwi.nl/~rdewolf/publ/qc/dectree.ps" } @INPROCEEDINGS{grover:search, AUTHOR = "L. K. Grover", TITLE = "A Fast Quantum Mechanical Algorithm for Database Search", BOOKTITLE = "Proc. of 28th ACM STOC", PAGES = "212--219", YEAR = 1996, comment = "quant-ph/9605043", eprint="stoc:237814.237866,arxiv:quant-ph/9605043" } @INPROCEEDINGS(hmw:berror-search, author = "P. H{\o}yer and M. Mosca and Wolf, R. {de}", title = "Quantum Search on Bounded-Error Inputs", booktitle = "Proc. of 30th ICALP", pages = "291--299", year = "2003", note = "LNCS 2719", comment = "quant-ph/0304052", eprint="icalp:214dhep41d6vk3d2,arxiv:quant-ph/0304052" ) @ARTICLE(hns:ordered-search, author = "P. H{\o}yer and J. Neerbek and Y. Shi", title = "Quantum complexities of ordered searching, sorting, and element distinctness", journal = "Algorithmica", volume = "34", number = "4", pages = "429--448", year = "2002", note = "Special issue on Quantum Computation and Cryptography", comment = "quant-ph/0102078", CommentBooktitle = "Proc. of 28th ICALP", CommentPages = "346--357", CommentYear = "2001", CommentNote = "LNCS 2076", commenteprint="icalp:0ybn6v2nywvtkpua", eprint="algorithmica:25gl9elr5rxr3q6a,arxiv:quant-ph/0102078" ) @ARTICLE{hs:survey-lb, author = "P. H{\o}yer and R. {\v{S}}palek", title = "Lower Bounds on Quantum Query Complexity", journal = eatcsbul, volume = 87, pages = "78--103", year = "October, 2005", eprint="arxiv:quant-ph/0509153" } @INPROCEEDINGS(lls:formulas, author = "S. Laplante and T. Lee and M. Szegedy", title = "The quantum adversary method and formula size lower bounds", booktitle = "Proc. of 20th IEEE Complexity", year = 2005, pages = "76--90", comment = "quant-ph/0501057", eprint="ccc:10.1109/CCC.2005.29,arxiv:quant-ph/0501057" ) @INPROCEEDINGS(lm:kolmogorov-lb, author = "S. Laplante and F. Magniez", title = "Lower bounds for randomized and quantum query complexity using {Kolmogorov} arguments", booktitle = "Proc. of 19th IEEE Complexity", pages = "294--304", year = "2004", comment = "quant-ph/0311189", eprint="ccc:10.1109/CCC.2004.1313852,arxiv:quant-ph/0311189" ) @UNPUBLISHED(lovasz:semidef, author = "L. Lov\'asz", title = "Semidefinite programs and combinatorial optimization", year = 2000, note = "\url{http://research.microsoft.com/users/lovasz/semidef.ps}", ps="http://research.microsoft.com/users/lovasz/semidef.ps" ) @BOOK{li&vitanyi:kolm, AUTHOR = "M. Li and P. M. B. Vit{\'{a}}nyi", TITLE = "An Introduction to {K}olmogorov Complexity and its Applications", EDITION = "Second", PUBLISHER = springer, ADDRESS = "Berlin", YEAR = 1997, } @ARTICLE(mathias:spectral-norm, author = "R. Mathias", title = "The spectral norm of a nonnegative matrix", journal = "Linear Algebra and its Applications", volume = "139", pages = "269--284", year = 1990, eprint="laa:10.1016/0024-3795(90)90403-Y", ps="http://www.math.wm.edu/~mathias/preprints/ps_zips/nonneg.ps.gz" ) @INPROCEEDINGS(mss:triangle, author = "F. Magniez and M. Santha and M. Szegedy", title = "Quantum Algorithms for the Triangle Problem", booktitle = "Proc. of 16th ACM-SIAM SODA", year = "2005", pages = "1109--1117", comment = "quant-ph/0310134", eprint="soda:1070432.1070591,arxiv:quant-ph/0310134" ) @BOOK{nielsen&chuang:qc, AUTHOR = "M. A. Nielsen and I. L. Chuang", TITLE = "Quantum Computation and Quantum Information", PUBLISHER = cup, YEAR = 2000, } @ARTICLE(santha:and-or, author = "M. Santha", title = "On the {M}onte {C}arlo decision tree complexity of read-once formulae", journal = "Random Structures and Algorithms", volume = 6, number = 1, pages = "75--87", year = 1995, comment = "Earlier version in Structures '91", ps="http://www.lri.fr/~santha/Papers/s95.ps.gz" ) @ARTICLE(snir:dec, author = "M. Snir", title = "Lower bounds on probabilistic decision trees", journal = "Theoretical Computer Science", volume = 38, pages = "69--82", year = 1985, eprint="tcs:10.1016/0304-3975(85)90210-5" ) @INPROCEEDINGS(sw:and-or, author = "M. Saks and A. Wigderson", title = "Probabilistic {Boolean} decision trees and the complexity of evaluating games trees", booktitle = "Proc. of 27th IEEE FOCS", pages = "29--38", year = "1986", ps="http://www.math.ias.edu/~avi/PUBLICATIONS/MYPAPERS/VW85A/VW85A.ps", pdf="http://www.math.ias.edu/~avi/PUBLICATIONS/MYPAPERS/SW86/SW86.pdf" ) @UNPUBLISHED(szegedy:triangle, author = "M. Szegedy", title = "On the Quantum Query Complexity of Detecting Triangles in Graphs", year = "2003", note = "quant-ph/0310107", eprint="arxiv:quant-ph/0310107" ) @ARTICLE(zhang:ambainis, author = "S. Zhang", title = "On the power of {Ambainis}'s lower bounds", journal = "Theoretical Computer Science", volume = 339, number = "2--3", year = 2005, pages = "241--256", note = "Earlier version in ICALP'04", commbooktitle = "Proc. of 31st ICALP", commpages = "1238--1250", commyear = "2004", comment = "quant-ph/0311060", eprint="tcs:10.1016/j.tcs.2005.01.019,icalp:gm2ff6wpc0q39v3x,arxiv:quant-ph/0311060" )