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STOC
2001
ACM
122views Algorithms» more  STOC 2001»
16 years 4 months ago
One-dimensional quantum walks
In this paper we analyze the behavior of quantum random walks. In particular we present several new results for the absorption probabilities in systems with both one and two absor...
Andris Ambainis, Eric Bach, Ashwin Nayak, Ashvin V...
STACS
2010
Springer
15 years 11 months ago
An Efficient Quantum Algorithm for Some Instances of the Group Isomorphism Problem
In this paper we consider the problem of testing whether two finite groups are isomorphic. Whereas the case where both groups are abelian is well understood and can be solved effi...
François Le Gall
118
Voted
FOCS
2003
IEEE
15 years 9 months ago
A Lattice Problem in Quantum NP
We consider coGapSV P√ n, a gap version of the shortest vector in a lattice problem. This problem is known to be in AM ∩coNP but is not known to be in NP or in MA. We prove th...
Dorit Aharonov, Oded Regev
ALGORITHMICA
2002
94views more  ALGORITHMICA 2002»
15 years 4 months ago
The Quantum Black-Box Complexity of Majority
We describe a quantum black-box network computing the majority of N bits with zerosided error using only 2 3 N + O( N log( -1 log N)) queries: the algorithm returns the correct an...
Thomas P. Hayes, Samuel Kutin, Dieter van Melkebee...
159
Voted
CRYPTO
2010
Springer
181views Cryptology» more  CRYPTO 2010»
15 years 5 months ago
On the Efficiency of Classical and Quantum Oblivious Transfer Reductions
Due to its universality oblivious transfer (OT) is a primitive of great importance in secure multi-party computation. OT is impossible to implement from scratch in an unconditional...
Severin Winkler, Jürg Wullschleger