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» The complexity of the Quantum Adiabatic Algorithm
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COCO
2008
Springer
108views Algorithms» more  COCO 2008»
14 years 12 months ago
Exponential Separation of Quantum and Classical Non-interactive Multi-party Communication Complexity
We give the first exponential separation between quantum and classical multi-party communication complexity in the (non-interactive) one-way and simultaneous message passing setti...
Dmitry Gavinsky, Pavel Pudlák
STOC
2001
ACM
129views Algorithms» more  STOC 2001»
15 years 10 months ago
Interaction in quantum communication and the complexity of set disjointness
One of the most intriguing facts about communication using quantum states is that these states cannot be used to transmit more classical bits than the number of qubits used, yet i...
Hartmut Klauck, Ashwin Nayak, Amnon Ta-Shma, David...
STOC
2007
ACM
84views Algorithms» more  STOC 2007»
15 years 10 months ago
Lower bounds in communication complexity based on factorization norms
We introduce a new method to derive lower bounds on randomized and quantum communication complexity. Our method is based on factorization norms, a notion from Banach Space theory....
Nati Linial, Adi Shraibman
ALGORITHMICA
2002
94views more  ALGORITHMICA 2002»
14 years 10 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...
COCO
2004
Springer
121views Algorithms» more  COCO 2004»
15 years 3 months ago
Lower Bounds for Randomized and Quantum Query Complexity Using Kolmogorov Arguments
We prove a very general lower bound technique for quantum and randomized query complexity, that is easy to prove as well as to apply. To achieve this, we introduce the use of Kolm...
Sophie Laplante, Frédéric Magniez