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Partial Order on Classical and Quantum States


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  • Product Description

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, called Stochastic Order , using the well-known concept of majorization order and show that it has the ERP property and is also a continuous domain. In contrast, the bayesian order on ?n defined by Coecke and Martin has the ERP property but is not continuous.

Product Specifications
SKU :COC93838
AuthorArka Prava Bandyopadhyay and Jimmie Lawson
Number of Pages60
Publishing Year2011-10-18T00:00:00.000
Edition1 st
Book TypeStochastics
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-08-14 00:00:00