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CORR
2011
Springer
156views Education» more  CORR 2011»
13 years 15 days ago
From joint convexity of quantum relative entropy to a concavity theorem of Lieb
This paper provides a succinct proof of a 1973 theorem of Lieb that establishes the concavity of a certain trace function. The development relies on a deep result from quantum info...
Joel A. Tropp
CORR
2000
Springer
91views Education» more  CORR 2000»
13 years 8 months ago
Algorithmic Theories of Everything
The probability distribution P from which the history of our universe is sampled represents a theory of everything or TOE. We assume P is formally describable. Since most (uncount...
Jürgen Schmidhuber
MSCS
2007
94views more  MSCS 2007»
13 years 8 months ago
On the status of perturbation theory
Perturbation theory has always been an important part of natural sciences. From celestial mechanics to quantum theory of fields it has always played a central role that this litt...
Thierry Paul
ALT
2006
Springer
14 years 5 months ago
How Many Query Superpositions Are Needed to Learn?
Abstract. This paper introduces a framework for quantum exact learning via queries, the so-called quantum protocol. It is shown that usual protocols in the classical learning setti...
Jorge Castro
SODA
2010
ACM
200views Algorithms» more  SODA 2010»
14 years 6 months ago
Algorithms for ray class groups and Hilbert class fields
This paper analyzes the complexity of problems from class field theory. Class field theory can be used to show the existence of infinite families of number fields with constant ro...
Sean Hallgren, Kirsten Eisentraeger