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» Complexity Limitations on Quantum Computation
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VIS
2009
IEEE
430views Visualization» more  VIS 2009»
14 years 5 months ago
Interactive Volume Rendering of Functional Representations in Quantum Chemistry
Simulation and computation in chemistry studies have been improved as computational power has increased over decades. Many types of chemistry simulation results are available, from...
Yun Jang and Ugo Varetto
CORR
2002
Springer
102views Education» more  CORR 2002»
13 years 7 months ago
Quantum Lower Bound for Recursive Fourier Sampling
One of the earliest quantum algorithms was discovered by Bernstein and Vazirani, for a problem called Recursive Fourier Sampling. This paper shows that the Bernstein-Vazirani algo...
Scott Aaronson
FCT
2007
Springer
13 years 11 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
CORR
2007
Springer
113views Education» more  CORR 2007»
13 years 7 months ago
Geometry and the complexity of matrix multiplication
We survey results in algebraic complexity theory, focusing on matrix multiplication. Our goals are (i.) to show how open questions in algebraic complexity theory are naturally pose...
J. M. Landsberg
CORR
2010
Springer
109views Education» more  CORR 2010»
13 years 7 months ago
Optimal Direct Sum Results for Deterministic and Randomized Decision Tree Complexity
A Direct Sum Theorem holds in a model of computation, when for every problem solving some k input instances together is k times as expensive as solving one. We show that Direct Su...
Rahul Jain, Hartmut Klauck, Miklos Santha