Quantum Uncertainty Structures
A Bayesian Approach to Quantum Randomness
Seiten
2016
|
2017 ed.
Springer-Verlag New York Inc.
9781441982605 (ISBN)
Springer-Verlag New York Inc.
9781441982605 (ISBN)
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This book offers a Bayesian approach to quantum information. It features a clear and thorough discussion of foundations and implications as well as a detailed description of algebraic procedures and analytical results.
A Bayesian approach to quantum randomness is discussed which has a firm support on pragmatic grounds. First, the algebraic features of quantum randomness are introduced and its irreducibility discussed. Then, the meaning of randomness is addressed through its relation to probability theory, concluding that it refers to the coherent and adaptive arrangement of personal uncertainty. Finally, the elements comprising the structural algebraic framework of quantum information are shown to be uncertainty encoding structures with remarkable features tightly related to those of probability assignments. Topics covered include principals and algebraic structures of quantum theory as applied in quantum signal processing, features of quantum randomness, quantum tomography, and both the frequentism and Bayesian theories of probability.
A Bayesian approach to quantum randomness is discussed which has a firm support on pragmatic grounds. First, the algebraic features of quantum randomness are introduced and its irreducibility discussed. Then, the meaning of randomness is addressed through its relation to probability theory, concluding that it refers to the coherent and adaptive arrangement of personal uncertainty. Finally, the elements comprising the structural algebraic framework of quantum information are shown to be uncertainty encoding structures with remarkable features tightly related to those of probability assignments. Topics covered include principals and algebraic structures of quantum theory as applied in quantum signal processing, features of quantum randomness, quantum tomography, and both the frequentism and Bayesian theories of probability.
A skeleton key to the structural elements.- Systems and quantum systems.- Quantum states.- Composite quantum systems.- Quantum analysis of data generation.- Closed quantum systems.- Unitary processing.- Open quantum systems.- Generalized processing.- First implications.- On the irreducibility of quantum randomness.- Classical structures of uncertainty.- Objective probability.- Non-objective probability.- Quantum structures of uncertainty.- Quantum states.- Quantum conditioning.- Quantum operations.- Quantum 'tomography' and the Quantum de Finetti representations.- Compatibility of quantum states assignments.- Conclusions and further research.- Bruno de Finetti's Probabilism.- The Kolmogorov Axiom System.
| Erscheint lt. Verlag | 6.11.2016 |
|---|---|
| Zusatzinfo | 5 black & white illustrations, 2 black & white tables, biography |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik |
| Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik | |
| Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| ISBN-13 | 9781441982605 / 9781441982605 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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