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MSCS
2007
71views more  MSCS 2007»
13 years 4 months ago
Discrete-continuous and classical-quantum
A discussion concerning the opposition between discretness and continuum in quantum mechanics is presented. In particular this duality is shown to be present not only in the early...
Thierry Paul
CORR
2011
Springer
156views Education» more  CORR 2011»
12 years 8 months 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
2008
Springer
109views Education» more  CORR 2008»
13 years 3 months ago
Characterising through Erasing: A Theoretical Framework for Representing Documents Inspired by Quantum Theory
The problem of representing text documents within an Information Retrieval system is formulated as an analogy to the problem of representing the quantum states of a physical syste...
Alvaro Francisco Huertas-Rosero, Leif Azzopardi, C...
CIKM
2010
Springer
13 years 3 months ago
What can quantum theory bring to information retrieval
The probabilistic formalism of quantum physics is said to provide a sound basis for building a principled information retrieval framework. Such a framework can be based on the not...
Benjamin Piwowarski, Ingo Frommholz, Mounia Lalmas...
CORR
2011
Springer
161views Education» more  CORR 2011»
13 years 7 days ago
The physical Church-Turing thesis and the principles of quantum theory
Abstract. Notoriously, quantum computation shatters complexity theory, but is innocuous to computability theory [17]. Yet several works have shown how quantum theory as it stands c...
Pablo Arrighi, Gilles Dowek