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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
STOC
2006
ACM
166views Algorithms» more  STOC 2006»
15 years 9 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
15 years 3 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
83
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FCT
2007
Springer
15 years 1 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