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CORR
2010
Springer
76views Education» more  CORR 2010»
13 years 7 months ago
Nonadaptive quantum query complexity
We study the power of nonadaptive quantum query algorithms, which are algorithms whose queries to the input do not depend on the result of previous queries. First, we show that an...
Ashley Montanaro
CORR
2011
Springer
156views Education» more  CORR 2011»
13 years 2 months ago
Impossibility of Succinct Quantum Proofs for Collision-Freeness
We show that any quantum algorithm to decide whether a function f : [n] → [n] is a permutation or far from a permutation must make Ω n1/3 /w queries to f, even if the algorith...
Scott Aaronson
FOCS
2002
IEEE
14 years 17 days ago
Graph Isomorphism is in SPP
We show that Graph Isomorphism is in the complexity class SPP, and hence it is in ⊕P (in fact, it is in ModkP for each k ≥ 2). We derive this result as a corollary of a more g...
Vikraman Arvind, Piyush P. Kurur
STOC
1993
ACM
134views Algorithms» more  STOC 1993»
13 years 11 months ago
Quantum complexity theory
In this paper we study quantum computation from a complexity theoretic viewpoint. Our first result is the existence of an efficient universal quantum Turing machine in Deutsch’s...
Ethan Bernstein, Umesh V. Vazirani
COCOON
2005
Springer
14 years 1 months ago
Promised and Distributed Quantum Search
This paper gives a quantum algorithm to search in an set S for a k-tuple satisfying some predefined relation, with the promise that some components of a desired k-tuple are in som...
Shengyu Zhang