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Arka Prava Bandyopadhyay

Partial Order on Classical and Quantum States

Revised Bayesian Order, Majorization Order, Stochastic Order, characterization of upper sets and closedness in orders

Buch

In this work we extend the work done by Bob Coecke and Keye Martin in their paper Partial Order on Classical States and Quantum States (2003). We review basic notions involving elementary domain theory, the set of probability measures on a finite set {a1, a2, ..., an}, which we identify with the standard (n-1)-simplex ?n and Shannon Entropy. We consider partial orders on ?n, which have the Entropy Reversal Property (ERP) : elements lower in the order have higher (Shannon) entropy or equivalently less information . The ERP property is important because of its applications in quantum information theory. We define a new partial order on ?n, call… Mehr

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Produktdetails


Weitere Autoren: Lawson, Jimmie
  • ISBN: 978-3-8465-3348-2
  • EAN: 9783846533482
  • Produktnummer: 37799760
  • Verlag: LAP Lambert Academic Publishing
  • Sprache: Englisch
  • Erscheinungsjahr: 2011
  • Seitenangabe: 60 S.
  • Masse: H22.0 cm x B15.0 cm x D0.4 cm 107 g
  • Abbildungen: Paperback
  • Gewicht: 107

Über den Autor


Arka Prava Bandyopadhyay, originally a student of Ramkrishna Mission, Narendrapur has an MS in Mathematics from India. He came to USA in 2010 and finished another MS in Computer science in just one year from Louisiana State University. Currently he is doing PhD in Mathematics in Courant Institute of Mathematical Sciences in New York University.

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