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» The complexity of the Quantum Adiabatic Algorithm
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CSREAESA
2003
13 years 6 months ago
Common Mistakes in Adiabatic Logic Design and How to Avoid Them
Most so-called “adiabatic” digital logic circuit families reported in the low-power design literature are actually not truly adiabatic, in that they do not satisfy the general...
Michael P. Frank
SODA
2012
ACM
227views Algorithms» more  SODA 2012»
11 years 7 months ago
Improved output-sensitive quantum algorithms for Boolean matrix multiplication
We present new quantum algorithms for Boolean Matrix Multiplication in both the time complexity and the query complexity settings. As far as time complexity is concerned, our resu...
François Le Gall
ENTCS
2007
108views more  ENTCS 2007»
13 years 5 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
13 years 10 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
ALGORITHMICA
2002
121views more  ALGORITHMICA 2002»
13 years 5 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