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» Quantum lower bounds by quantum arguments
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AMC
2006
104views more  AMC 2006»
13 years 8 months ago
Three counterexamples refuting Kieu's plan for "quantum adiabatic hypercomputation"; and some uncomputable quantum mechanical ta
-- Tien D. Kieu, in 10 papers posted to the quant-ph section of the xxx.lanl.gov preprint archive [some of which were also published in printed journals such as Proc. Royal Soc. A ...
Warren D. Smith
STACS
2009
Springer
14 years 3 months ago
A Stronger LP Bound for Formula Size Lower Bounds via Clique Constraints
We introduce a new technique proving formula size lower bounds based on the linear programming bound originally introduced by Karchmer, Kushilevitz and Nisan [11] and the theory of...
Kenya Ueno
ICALP
2005
Springer
14 years 2 months ago
Improved Lower Bounds for Locally Decodable Codes and Private Information Retrieval
We prove new lower bounds for locally decodable codes and private information retrieval. We show that a 2-query LDC encoding nbit strings over an ℓ-bit alphabet, where the decode...
Stephanie Wehner, Ronald de Wolf
COCO
2003
Springer
118views Algorithms» more  COCO 2003»
14 years 1 months ago
Lower bounds for predecessor searching in the cell probe model
We consider a fundamental problem in data structures, static predecessor searching: Given a subset S of size n from the universe [m], store S so that queries of the form “What i...
Pranab Sen
STOC
1998
ACM
112views Algorithms» more  STOC 1998»
14 years 24 days ago
Quantum Circuits with Mixed States
Current formal models for quantum computation deal only with unitary gates operating on “pure quantum states”. In these models it is difficult or impossible to deal formally w...
Dorit Aharonov, Alexei Kitaev, Noam Nisan