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STACS
2005
Springer
14 years 25 days ago
Exact Quantum Algorithms for the Leader Election Problem
Abstract. It is well-known that no classical algorithm can solve exactly (i.e., in bounded time without error) the leader election problem in anonymous networks. This paper propose...
Seiichiro Tani, Hirotada Kobayashi, Keiji Matsumot...
STACS
2009
Springer
14 years 2 months ago
Quantum Query Complexity of Multilinear Identity Testing
Motivated by the quantum algorithm for testing commutativity of black-box groups (Magniez and Nayak, 2007), we study the following problem: Given a black-box finite ring by an add...
Vikraman Arvind, Partha Mukhopadhyay
ASIACRYPT
2003
Springer
14 years 17 days ago
On Class Group Computations Using the Number Field Sieve
The best practical algorithm for class group computations in imaginary quadratic number fields (such as group structure, class number, discrete logarithm computations) is a varian...
Mark L. Bauer, Safuat Hamdy
FOCS
2000
IEEE
13 years 11 months ago
Succinct quantum proofs for properties of finite groups
In this paper we consider a quantum computational variant of nondeterminism based on the notion of a quantum proof, which is a quantum state that plays a role similar to a certifi...
John Watrous
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