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» Quantum Algorithmic Entropy
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STOC
2000
ACM
97views Algorithms» more  STOC 2000»
13 years 12 months ago
Quantum lower bounds by quantum arguments
We propose a new method for proving lower bounds on quantum query algorithms. Instead of a classical adversary that runs the algorithm with one input and then modifies the input,...
Andris Ambainis
ECCC
2010
86views more  ECCC 2010»
13 years 7 months ago
On Approximating the Entropy of Polynomial Mappings
We investigate the complexity of the following computational problem: Polynomial Entropy Approximation (PEA): Given a low-degree polynomial mapping p : Fn Fm , where F is a finite...
Zeev Dvir, Dan Gutfreund, Guy N. Rothblum, Salil P...
COCO
2009
Springer
119views Algorithms» more  COCO 2009»
14 years 2 months ago
An Approximation Algorithm for Approximation Rank
One of the strongest techniques available for showing lower bounds on quantum communication complexity is the logarithm of the approximation rank of the communication matrix— th...
Troy Lee, Adi Shraibman
STOC
2003
ACM
174views Algorithms» more  STOC 2003»
14 years 8 months ago
Adiabatic quantum state generation and statistical zero knowledge
The design of new quantum algorithms has proven to be an extremely difficult task. This paper considers a different approach to the problem, by studying the problem of 'quant...
Dorit Aharonov, Amnon Ta-Shma