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COCO
2004
Springer
121views Algorithms» more  COCO 2004»
14 years 1 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
CORR
2010
Springer
147views Education» more  CORR 2010»
13 years 6 months ago
Strong direct product theorems for quantum communication and query complexity
A strong direct product theorem (SDPT) states that solving n instances of a problem requires ˝.n/ times the resources for a single instance, even to achieve success probability 2 ...
Alexander A. Sherstov
STOC
2006
ACM
166views Algorithms» more  STOC 2006»
14 years 8 months ago
New upper and lower bounds for randomized and quantum local search
Local Search problem, which finds a local minimum of a black-box function on a given graph, is of both practical and theoretical importance to combinatorial optimization, complexi...
Shengyu Zhang
COCO
2008
Springer
108views Algorithms» more  COCO 2008»
13 years 9 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»
14 years 8 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...