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» On the Complexity of Quantum ACC
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ENTCS
2007
108views more  ENTCS 2007»
13 years 7 months ago
Simulating and Compiling Code for the Sequential Quantum Random Access Machine
We present the SQRAM architecture for quantum computing, which is based on Knill’s QRAM model. We detail a suitable instruction set, which implements a universal set of quantum ...
Rajagopal Nagarajan, Nikolaos Papanikolaou, David ...
FOCS
2003
IEEE
14 years 25 days ago
Polynomial Degree vs. Quantum Query Complexity
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
Andris Ambainis
COCO
2003
Springer
118views Algorithms» more  COCO 2003»
14 years 23 days ago
Lower bounds for predecessor searching in the cell probe model
We consider a fundamental problem in data structures, static predecessor searching: Given a subset S of size n from the universe [m], store S so that queries of the form “What i...
Pranab Sen
ALGORITHMICA
2002
121views more  ALGORITHMICA 2002»
13 years 7 months ago
Sharp Quantum versus Classical Query Complexity Separations
We obtain the strongest separation between quantum and classical query complexity known to date--specifically, we define a black-box problem that requires exponentially many querie...
J. Niel de Beaudrap, Richard Cleve, John Watrous
SIAMCOMP
2002
153views more  SIAMCOMP 2002»
13 years 7 months ago
A Decision Procedure for Unitary Linear Quantum Cellular Automata
Linear quantum cellular automata were introduced recently as one of the models of quantum computing. A basic postulate of quantum mechanics imposes a strong constraint on any quan...
Christoph Dürr, Miklos Santha