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» On the Complexity of Quantum ACC
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ENTCS
2007
108views more  ENTCS 2007»
14 years 9 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
15 years 2 months 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»
15 years 2 months 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»
14 years 9 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»
14 years 9 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