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ECCC
2006
87views more  ECCC 2006»
13 years 5 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 5 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 5 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 5 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 5 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 5 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 5 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