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COCO
2001
Springer
154views Algorithms» more  COCO 2001»
14 years 5 days ago
Quantum Algorithms for Element Distinctness
We present several applications of quantum amplitude amplification to finding claws and collisions in ordered or unordered functions. Our algorithms generalize those of Brassard...
Harry Buhrman, Christoph Dürr, Mark Heiligman...
COCOON
2006
Springer
13 years 11 months ago
The Complexity of Black-Box Ring Problems
We study the complexity of some computational problems on finite black-box rings whose elements are encoded as strings of a given length and the ring operations are performed by a ...
Vikraman Arvind, Bireswar Das, Partha Mukhopadhyay
COCO
2009
Springer
121views Algorithms» more  COCO 2009»
14 years 2 months ago
Lower Bounds on Quantum Multiparty Communication Complexity
A major open question in communication complexity is if randomized and quantum communication are polynomially related for all total functions. So far, no gap larger than a power o...
Troy Lee, Gideon Schechtman, Adi Shraibman
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
COCO
2001
Springer
161views Algorithms» more  COCO 2001»
14 years 5 days ago
Communication Complexity Lower Bounds by Polynomials
The quantum version of communication complexity allows the two communicating parties to exchange qubits and/or to make use of prior entanglement (shared EPRpairs). Some lower boun...
Harry Buhrman, Ronald de Wolf