Quantum Theory from First Principles

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SUMMARY

The discussion centers on the book "Quantum Theory from First Principles" by D'Ariano et al., which presents a concise and rigorous examination of quantum theory through a diagrammatic approach. The book is structured into three main parts: the Hilbert space formalism of quantum theory, the relationship between information theory and quantum principles, and the derivation of quantum theory from six fundamental information theoretic principles. It is important to note that the book focuses on the abstract formalism rather than specific physical systems, making it a theoretical exploration rather than a practical application.

PREREQUISITES
  • Understanding of Hilbert space formalism in quantum mechanics
  • Familiarity with information theory concepts
  • Basic knowledge of quantum operators
  • Experience with theoretical physics or mathematics
NEXT STEPS
  • Explore the implications of Hilbert space formalism in quantum mechanics
  • Study the principles of information theory relevant to quantum systems
  • Investigate the derivation of quantum mechanics from information theoretic principles
  • Read additional literature on diagrammatic approaches in theoretical physics
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This discussion is beneficial for theoretical physicists, mathematicians, and students interested in the foundations of quantum mechanics and the interplay between quantum theory and information theory.

Frabjous
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@LittleSchwinger recently recommended this book

LittleSchwinger said:
If you enjoy it D'Ariano et al's "Quantum Theory from First Principles" uses a similar diagramatic approach but is more concise and rigorous.

What are peoples thoughts on it?
 
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I fully agree with my own recommendations :wink:

Basically the book is divided into three parts:
  1. An examination of the Hilbert space formalism of quantum theory and how it generalises information theory.
  2. A discussion of information theoretic principles and how aspects of quantum theory are simply consequences of them
  3. A derivation of quantum theory from six information theoretic principles
Note: I say "quantum theory" to refer to the abstract formalism of Hilbert Spaces and operators on them. The book does not examine any physics as such, i.e. explicit systems like hydrogen atoms, harmonic oscillators, gases etc. It's an investigation of the abstract formalism.

The exercises are very well crafted and often take the form of a guided development of ideas from the text.
 
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