Difference between revisions of "Book/Picturing Quantum Processes"
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It is important to note that this book states that [[pure quantum map]]s is a subtheory of [[linear map]]s. | It is important to note that this book states that [[pure quantum map]]s is a subtheory of [[linear map]]s. | ||
pure quantum maps <math>\subseteq</math> linear maps | pure quantum maps <math>\subseteq</math> linear maps | ||
==The origin of all these ideas== | |||
[[Martin Gardner]]'s book on [[Book/Logic machines and diagrams|Logic machines and diagrams]]<ref name=LogicMachine>{{:Book/Logic machines and diagrams}}</ref> is a great starting point to see how logic and process visualization comes together. Chapter 3 of the book: A Network Diagram for the Propositional Calculus<ref extends=LogicMachine>Chapter 3: A Network Diagram for the Propositional Calculus, P.60</ref> is particularly relevant to Quantum Circuit visualization. | |||
===Double Entry Bookkeeping and Matrix Algebra=== | ===Double Entry Bookkeeping and Matrix Algebra=== | ||
{{:Double Entry Bookkeeping/Matrix Algebra}} | {{:Double Entry Bookkeeping/Matrix Algebra}} | ||
Revision as of 21:22, 19 April 2022
Coecke, Bob; Kissinger, Aleks (2017). Picturing Quantum Processes. local page: Cambridge University Press. ISBN 978-1316219317.
This book is closely related to Diagrammatic Reasoning[1]. Coecke also wrote a paper on how to teach quantum pictural process to kindergarten kids[2].
Interesting Ideas in this book
This book is about using pictorial representation to describe quantum processes. This statement meant that this diagrammatic language could be a generic symbolic system to represent any physical process, since quantum process is really just a way approximate physical phenomenon in a discrete symbol system. To get a good introductory talk, watch Bob Coecke's talk on From quantum processes to cognition via pictures[3].
Quantum Maps from Doubling
From chapter 6.1 of this book[4], the notion of doubling is applied to generate probabilitiesCite error: Invalid <ref> tag; invalid names, e.g. too many, and eliminate global phasesCite error: Invalid <ref> tag; invalid names, e.g. too many. The notion of doubling maybe related to the notion of Double Entry Bookkeeping[5]. This directlu relates to the idea of Data Governance[6].
It is important to note that this book states that pure quantum maps is a subtheory of linear maps.
pure quantum maps linear maps
The origin of all these ideas
Martin Gardner's book on Logic machines and diagrams[7] is a great starting point to see how logic and process visualization comes together. Chapter 3 of the book: A Network Diagram for the Propositional CalculusCite error: Invalid <ref> tag; invalid names, e.g. too many is particularly relevant to Quantum Circuit visualization.
Double Entry Bookkeeping and Matrix Algebra
This historical relationship has been documented in many well known publications[8][9][10] and A Theory of Justice[11].
References
- ↑ Glasgow; Narayanan; Chandrasekaran, eds. (1995). Diagrammatic Reasoning:Cognitive and Computational Perspectives. local page: MIT Press. ISBN 9780262571128.
- ↑ Coecke, Bob (Oct 4, 2005). Kindergarten Quantum Mechanics (PDF). local page: arXiv.
- ↑ Coecke, Bob (Nov 14, 2017). Bob Coecke: From quantum processes to cognition via pictures. local page: Latvijas Universitāte.
- ↑ Coecke, Bob; Kissinger, Aleks (2017). Picturing Quantum Processes. local page: Cambridge University Press. ISBN 978-1316219317.
- ↑ Pacioli, Luca (1494). Summa de Arithmetica, Geometria, Proportioni et Proportionalita: Distintio Nona, Tractus XI, Particularis de Computis et Scripturis [Pacioli on Accounting]. Translated by R.G., Brown; K.S, Johnston. local page: McGraw-Hill.
- ↑ Eryurek, Evren; Gilad, Uri; Lakshmanan, Valliappa; Kibunguchy-Grant, Anita; Ashdown, Jessi (2021). Data Governance - The Definitive Guide : People, Processes, and Tools to Operationalized Data Turstworthiness. local page: O'Reilly Press. ISBN 9781492063490.
- ↑ Gardner, Martin (1958). Logic machines and diagrams. local page: McGraw-Hill Book Company, Inc.
- ↑ Demski, Joel; Fitzgerald, S.; Ijiri, Yuji; Ijiri, Yumi; Lin, Haijin (2009). "Quantum information and accounting information: Exploring conceptual applications of topology". 28. local page: Journal of Accounting and Public Policy: 133–147.
- ↑ Demski, Joel; Fitzgerald, S.; Ijiri, Yuji; Ijiri, Yumi; Lin, Haijin (2006). "Quantum information and accounting information: Their salient features and conceptual applications". 28. local page: Journal of Accounting and Public Policy: 435–464.
- ↑ Demski, Joel; Fitzgerald, S.; Ijiri, Yuji; Ijiri, Yumi; Lin, Haijin (August 2006). "Quantum Information and Accounting Information: A Revolutionary Trend and the World of Topology" (PDF). local page.
- ↑ Rawls, John (1999). A Theory of Justice (PDF) (Revised ed.). local page: Harvard University Press. ISBN 0-674-00078-1.