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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 11 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
STOC
2006
ACM
166views Algorithms» more  STOC 2006»
14 years 6 months ago
New upper and lower bounds for randomized and quantum local search
Local Search problem, which finds a local minimum of a black-box function on a given graph, is of both practical and theoretical importance to combinatorial optimization, complexi...
Shengyu Zhang
FOCS
2006
IEEE
13 years 11 months ago
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature. For the d-dimensional grid graphs, the complexity has been...
Xiaoming Sun, Andrew Chi-Chih Yao
FCT
2007
Springer
13 years 9 months ago
Product Rules in Semidefinite Programming
Abstract. In recent years we have witnessed the proliferation of semidefinite programming bounds in combinatorial optimization [1,5,8], quantum computing [9,2,3,6,4,16] and even in...
Rajat Mittal, Mario Szegedy