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STACS
2010
Springer
14 years 2 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
FOCS
2003
IEEE
14 years 1 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
FOCS
2000
IEEE
14 years 4 days ago
Private Quantum Channels
Shannon [Sha48, Sha49] in celebrated works had shown that n bits of shared key is necessary and sufficient to transmit n-bit classical information in an information-theoretically ...
Andris Ambainis, Michele Mosca, Alain Tapp, Ronald...
ALGORITHMICA
2002
94views more  ALGORITHMICA 2002»
13 years 7 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...
CRYPTO
2010
Springer
181views Cryptology» more  CRYPTO 2010»
13 years 8 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