Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Cambridge University Press eBooks

Conclusion

Patrick Flandrin

Published Aug 22, 2018• 0 citations
Publisher

Abstract

General considerations are given to possible extensions of the methods discussed in the book to nonstationary data beyond 1D signals (e.g., multivariate or graph-based). The analogy between signal theory and quantum mechanics formalisms are mentioned, and a general perpsective on further opportunities is outlined as an open conclusion.
DOI
10.1017/9781108363181.020

Related papers

Chapter 4. Stochastic analysis and quantum mechanics

A. A. Dorogovtsev

De Gruyter eBooks•Dec 31, 1994•0 citations

Quantum Dialogue: The Making of a Revolution

Roland L. Omnes

`Science is rooted in conversations.' The word is from Heisenberg but it becomes with Mara Beller a thesis for reconsidering the philosophy and history of science: how conversations were a cradle for the Copenhagen interpretation of quantum mechanics is the main topic of this book. This `dialogical' approach is moreover assumed to be quite general and it is proposed as a guideline for future investigations in the history of science. This work will certainly be important among historians of science. Its most valuable content is a wealth of information picked up from many sources, including the correspondence between the actors and later registered commentaries by many witnesses. There will be also undoubtedly much discussion of its conclusions and theses. They are extremely strong since, to mention but a few, one is told that the success of the Copenhagen interpretation is the result of a `fierce' propaganda strategy, and that Bohr could not really master physics (because of a weakness in mathematics), while the idea of complementarity, after a long discussion, is dismissed as `mythology'. Such new ideas will certainly find an enthusiastic approval from the adeherents of `new is beautiful', and will give rise to much discussion. What is missing most, however, in this book is a consideration of recent intensive renewals of interpretation arising from advances in both experiments and theory. The resulting conclusions are clearly different from Beller's: now that there are demonstrative versions of interpretation, one can fully appreciate why it was so difficult to justify logically and philosophically the Copenhagen interpretation (accordingly Bohr's stature would be enhanced rather than slighted). Mara Beller's inclination towards excessive statements is finally crowned when she says that her philosophical analysis `demonstrates the possibility and the need of a viable alternative to the orthodox interpretation' (most probably Bohmian mechanics). To have such an Aristotelian confidence in the power of philosophy and to be so assertive in a book where neither the word or notion of `decoherence' is mentioned indicate in my opinion the real nature of that book: too provocative to be wise.

European Journal of Physics•Mar 1, 2000•65 citations

The Role of Quantum Mechanics in Signal Processing

CRC Press eBooks•Jan 29, 2010•0 citations

Physical Meaning of Hermiticity and Shortcomings of the Composite (Hermitian + non-Hermitian) Quantum Theory of Gunther and Samsonov

Mostafazadeh, Ali

In arXiv:0709.0483 Gunther and Samsonov outline a ``generalization'' of quantum mechanics that involves simultaneous consideration of Hermitian and non-Hermitian operators and promises to be ``capable to produce effects beyond those of standard Hermitian quantum mechanics.'' We give a simple physical interpretation of Hermiticity and discuss in detail the shortcomings of the above-mentioned composite quantum theory. In particular, we show that the corresponding ``generalization of measurement theory'' suffers from a dynamical inconsistency and that it is by no means adequate to replace the standard measurement theory.

arXiv:0709.1756•Sep 12, 2007•2 citations

Quantum formalism via signal analysis

Lloyd C. Kannenberg

Foundations of Physics•Apr 1, 1989•4 citations

Before the Quantum

Antony Valentini

Abstract Chapter 1, ‘Before the Quantum’, outlines the key ideas of the book. After a brief introduction to pilot-wave theory, we highlight its nonlocality—the ‘spooky’ action at a distance between widely separated systems. We then introduce the ‘conspiracy’ of why nonlocality cannot be controlled for practical superluminal signalling. To explain it, we draw an analogy with the classical ‘heat death’ of the universe theorised in the nineteenth century. The conspiracy can be understood as a peculiarity of the state of ‘quantum death’ in which we happen to live, where all systems are subject to the same quantum noise or uncertainty. We explain how this state arose from a past process of quantum relaxation (analogous to thermal relaxation). Finally, we outline three possible ways to escape quantum death, and thereby to access the wider physics beyond quantum mechanics.

Beyond the Quantum•Sep 16, 2025•0 citations
`Science is rooted in conversations.' The word is from Heisenberg but it becomes with Mara Beller a thesis for reconsidering the philosophy and history of science: how conversations were a cradle for the Copenhagen interpretation of quantum mechanics is the main topic of this book. This `dialogical' approach is moreover assumed to be quite general and it is proposed as a guideline for future investigations in the history of science. This work will certainly be important among historians of science. Its most valuable content is a wealth of information picked up from many sources, including the correspondence between the actors and later registered commentaries by many witnesses. There will be also undoubtedly much discussion of its conclusions and theses. They are extremely strong since, to mention but a few, one is told that the success of the Copenhagen interpretation is the result of a `fierce' propaganda strategy, and that Bohr could not really master physics (because of a weakness in mathematics), while the idea of complementarity, after a long discussion, is dismissed as `mythology'. Such new ideas will certainly find an enthusiastic approval from the adeherents of `new is beautiful', and will give rise to much discussion. What is missing most, however, in this book is a consideration of recent intensive renewals of interpretation arising from advances in both experiments and theory. The resulting conclusions are clearly different from Beller's: now that there are demonstrative versions of interpretation, one can fully appreciate why it was so difficult to justify logically and philosophically the Copenhagen interpretation (accordingly Bohr's stature would be enhanced rather than slighted). Mara Beller's inclination towards excessive statements is finally crowned when she says that her philosophical analysis `demonstrates the possibility and the need of a viable alternative to the orthodox interpretation' (most probably Bohmian mechanics). To have such an Aristotelian confidence in the power of philosophy and to be so assertive in a book where neither the word or notion of `decoherence' is mentioned indicate in my opinion the real nature of that book: too provocative to be wise.
In arXiv:0709.0483 Gunther and Samsonov outline a ``generalization'' of quantum mechanics that involves simultaneous consideration of Hermitian and non-Hermitian operators and promises to be ``capable to produce effects beyond those of standard Hermitian quantum mechanics.'' We give a simple physical interpretation of Hermiticity and discuss in detail the shortcomings of the above-mentioned composite quantum theory. In particular, we show that the corresponding ``generalization of measurement theory'' suffers from a dynamical inconsistency and that it is by no means adequate to replace the standard measurement theory.
Abstract Chapter 1, ‘Before the Quantum’, outlines the key ideas of the book. After a brief introduction to pilot-wave theory, we highlight its nonlocality—the ‘spooky’ action at a distance between widely separated systems. We then introduce the ‘conspiracy’ of why nonlocality cannot be controlled for practical superluminal signalling. To explain it, we draw an analogy with the classical ‘heat death’ of the universe theorised in the nineteenth century. The conspiracy can be understood as a peculiarity of the state of ‘quantum death’ in which we happen to live, where all systems are subject to the same quantum noise or uncertainty. We explain how this state arose from a past process of quantum relaxation (analogous to thermal relaxation). Finally, we outline three possible ways to escape quantum death, and thereby to access the wider physics beyond quantum mechanics.