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ECCC
2006
87views more  ECCC 2006»
13 years 10 months ago
The Learnability of Quantum States
Traditional quantum state tomography requires a number of measurements that grows exponentially with the number of qubits n. But using ideas from computational learning theory, we...
Scott Aaronson
ECCC
2006
93views more  ECCC 2006»
13 years 10 months ago
On the Deduction Theorem and Complete Disjoint NP-Pairs
In this paper we ask the question whether the extended Frege proof system EF satisfies a weak version of the deduction theorem. We prove that if this is the case, then complete dis...
Olaf Beyersdorff
ECCC
2006
112views more  ECCC 2006»
13 years 10 months ago
Faster algorithms for finding lowest common ancestors in directed acyclic graphs
We present two new methods for finding a lowest common ancestor (LCA) for each pair of vertices of a directed acyclic graph (dag) on n vertices and m edges. The first method is su...
Artur Czumaj, Miroslaw Kowaluk, Andrzej Lingas
ECCC
2006
37views more  ECCC 2006»
13 years 10 months ago
Worst Case and Probabilistic Analysis of the 2-Opt Algorithm for the TSP
Matthias Englert, Heiko Röglin, Berthold V&ou...
ECCC
2006
116views more  ECCC 2006»
13 years 10 months ago
Uniform Hardness Amplification in NP via Monotone Codes
We consider the problem of amplifying uniform average-case hardness of languages in NP, where hardness is with respect to BPP algorithms. We introduce the notion of monotone error...
Joshua Buresh-Oppenheim, Valentine Kabanets, Rahul...
ECCC
2006
99views more  ECCC 2006»
13 years 10 months ago
On the Subgroup Distance Problem
We investigate the computational complexity of finding an element of a permutation group H Sn with a minimal distance to a given Sn, for different metrics on Sn. We assume that...
Christoph Buchheim, Peter J. Cameron, Taoyang Wu
ECCC
2006
109views more  ECCC 2006»
13 years 10 months ago
How to rank with few errors: A PTAS for Weighted Feedback Arc Set on Tournaments
Suppose you ran a chess tournament, everybody played everybody, and you wanted to use the results to rank everybody. Unless you were really lucky, the results would not be acyclic...
Claire Kenyon-Mathieu, Warren Schudy