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Partial Order on Classical and Quantum States by Jimmie Lawson and Arka Prava Bandyopadhyay (2011, Trade Paperback)

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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 Identifiers

Publisher
LAP Gmbh & Company KG
ISBN-10
3846533483
ISBN-13
9783846533482
eBay Product ID (ePID)
167602122

Product Key Features

Author
Jimmie Lawson, Arka Prava Bandyopadhyay
Publication Name
Partial Order on Classical and Quantum States
Format
Trade Paperback
Language
English
Publication Year
2011
Type
Textbook
Number of Pages
60 Pages

Dimensions

Item Length
9in
Item Height
0.1in
Item Width
6in
Item Weight
3.7 Oz

Additional Product Features

Topic
Probability & Statistics / General
Genre
Mathematics

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Partial Order on Classical and Quantum States by Jimmie Lawson and Arka Prava Bandyopadhyay (2011, Trade Paperback)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Textbooks

Diagnostic and Statistical Manual of Mental Disorders DSM-5-TR by American Psychiatric Association (2022, Trade Paperback)

Leadership : Theory and Practice by Peter G. Northouse (2021, Trade Paperback, Revised edition)

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Self Heal by Design : The Role of Micro-organisms for Health by Barbara O'Neill (2018, Trade Paperback)

Research Design : Qualitative, Quantitative, and Mixed Methods Approaches by J. David Creswell and John W. Creswell (2022, Trade Paperback)

Designing Data-Intensive Applications : The Big Ideas Behind Reliable, Scalable, and Maintainable Systems by Martin Kleppmann (2017, Trade Paperback)

Cognitive Behavior Therapy : Basics and Beyond by Judith S. Beck (2020, Hardcover)

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