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JCSS
2008
120views more  JCSS 2008»
13 years 4 months ago
Quantum certificate complexity
Given a Boolean function f, we study two natural generalizations of the certificate complexity C (f): the randomized certificate complexity RC (f) and the quantum certificate comp...
Scott Aaronson
SODA
2012
ACM
227views Algorithms» more  SODA 2012»
11 years 6 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
IFIP
2004
Springer
13 years 9 months ago
ATV: An Efficient Method for Constructing a Certification Path
: Constructing a certification path is the mainly method of validating a certificate at given time. The established path will consist of all the valid certificates that reside betw...
Omar Batarfi
ENTCS
2007
108views more  ENTCS 2007»
13 years 4 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 9 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