<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/'><id>tag:blogger.com,1999:blog-3722233.post109992787172664870..comments</id><updated>2007-04-19T22:22:55.144-05:00</updated><title type='text'>Comments on Computational Complexity: Favorite Theorems: Quantum Lower Bounds</title><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://blog.computationalcomplexity.org/feeds/109992787172664870/comments/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3722233/109992787172664870/comments/default'/><link rel='alternate' type='text/html' href='http://blog.computationalcomplexity.org/2004/11/favorite-theorems-quantum-lower-bounds.html'/><author><name>Lance</name><uri>http://www.blogger.com/profile/06752030912874378610</uri><email>lance@fortnow.com</email></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>2</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>25</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-3722233.post-110003134754200952</id><published>2004-11-09T14:15:00.000-06:00</published><updated>2004-11-09T14:15:00.000-06:00</updated><title type='text'>Jain, Radhakrishnan, and Sen have also shown an Om...</title><content type='html'>Jain, Radhakrishnan, and Sen have also shown an Omega(n/k^2) quantum c.c. lower bound for the set disjointness problem when the protocols are restricted to be k rounds.  This result, on the one hand, is more general than Razborov's, but on the other, yields only an Omega(n^{1/3}) l.b. for arbitrary-round q.c.c. for set disjointness.  See http://www.iqc.ca/conferences/qip/presentations/radhakrishnan.pdf for Jaikumar Radhakrishnan's presentation of this work, and http://portal.acm.org/citation.cfm?id=946243.946331 for the FOCS abstract.&lt;br /&gt;&lt;br /&gt;Siva</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3722233/109992787172664870/comments/default/110003134754200952'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3722233/109992787172664870/comments/default/110003134754200952'/><link rel='alternate' type='text/html' href='http://blog.computationalcomplexity.org/2004/11/favorite-theorems-quantum-lower-bounds.html?showComment=1100031300000#c110003134754200952' title=''/><author><name>Anonymous</name><email>noreply@blogger.com</email></author><thr:in-reply-to xmlns:thr='http://purl.org/syndication/thread/1.0' href='http://blog.computationalcomplexity.org/2004/11/favorite-theorems-quantum-lower-bounds.html' ref='tag:blogger.com,1999:blog-3722233.post-109992787172664870' source='http://www.blogger.com/feeds/3722233/posts/default/109992787172664870' type='text/html'/></entry><entry><id>tag:blogger.com,1999:blog-3722233.post-110000355485359065</id><published>2004-11-09T06:32:00.000-06:00</published><updated>2004-11-09T06:32:00.000-06:00</updated><title type='text'>Actually the hybrid method is due to Bennett, Bern...</title><content type='html'>Actually the hybrid method is due to Bennett, Bernstein, Brassard, and Vazirani; it was a predecessor of Andris's quantum adversary method.</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3722233/109992787172664870/comments/default/110000355485359065'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3722233/109992787172664870/comments/default/110000355485359065'/><link rel='alternate' type='text/html' href='http://blog.computationalcomplexity.org/2004/11/favorite-theorems-quantum-lower-bounds.html?showComment=1100003520000#c110000355485359065' title=''/><author><name>Scott</name><uri>http://www.blogger.com/profile/09428022255536654006</uri><email>noreply@blogger.com</email></author><thr:in-reply-to xmlns:thr='http://purl.org/syndication/thread/1.0' href='http://blog.computationalcomplexity.org/2004/11/favorite-theorems-quantum-lower-bounds.html' ref='tag:blogger.com,1999:blog-3722233.post-109992787172664870' source='http://www.blogger.com/feeds/3722233/posts/default/109992787172664870' type='text/html'/></entry></feed>