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COCO
2008
Springer
86views Algorithms» more  COCO 2008»
13 years 7 months ago
The Multiplicative Quantum Adversary
We present a new variant of the quantum adversary method. All adversary methods give lower bounds on the quantum query complexity of a function by bounding the change of a progres...
Robert Spalek
COCO
2004
Springer
185views Algorithms» more  COCO 2004»
13 years 9 months ago
Limitations of Quantum Advice and One-Way Communication
Abstract: Although a quantum state requires exponentially many classical bits to describe, the laws of quantum mechanics impose severe restrictions on how that state can be accesse...
Scott Aaronson
STACS
2007
Springer
13 years 11 months ago
A New Rank Technique for Formula Size Lower Bounds
We exactly determine the formula size of the parity function. If n = 2 + k, where 0 ≤ k < 2 , then the formula size of parity on n bits is 2 (2 + 3k) = n2 + k2 − k2 . Khrap...
Troy Lee
CORR
2010
Springer
147views Education» more  CORR 2010»
13 years 3 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
CORR
2010
Springer
185views Education» more  CORR 2010»
13 years 5 months ago
A new exponential separation between quantum and classical one-way communication complexity
We present a new example of a partial boolean function whose one-way quantum communication complexity is exponentially lower than its one-way classical communication complexity. T...
Ashley Montanaro