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CORR
2011
Springer
156views Education» more  CORR 2011»
13 years 1 months ago
Impossibility of Succinct Quantum Proofs for Collision-Freeness
We show that any quantum algorithm to decide whether a function f : [n] → [n] is a permutation or far from a permutation must make Ω n1/3 /w queries to f, even if the algorith...
Scott Aaronson
COCO
2008
Springer
86views Algorithms» more  COCO 2008»
13 years 8 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
CORR
2011
Springer
193views Education» more  CORR 2011»
13 years 1 months ago
Advice Coins for Classical and Quantum Computation
We study the power of classical and quantum algorithms equipped with nonuniform advice, in the form of a coin whose bias encodes useful information. This question takes on particu...
Scott Aaronson, Andrew Drucker
ASPDAC
2005
ACM
80views Hardware» more  ASPDAC 2005»
13 years 8 months ago
Synthesis of quantum logic circuits
— The pressure of fundamental limits on classical computation and the promise of exponential speedups from quantum effects have recently brought quantum circuits to the attention...
Vivek V. Shende, Stephen S. Bullock, Igor L. Marko...
CC
2006
Springer
101views System Software» more  CC 2006»
13 years 6 months ago
Inductive Time-Space Lower Bounds for Sat and Related Problems
We improve upon indirect diagonalization arguments for lower bounds on explicit problems within the polynomial hierarchy. Our contributions are summarized as follows.
Ryan Williams