Probing the Meaning of Quantum Mechanics: Information, Contextuality, Relationalism and Entanglement: Proceedings of the II International Workshop on Quantum Mechanics and Quantum Information. Physical, Philosophical and Logical Approaches (CLEA, Brussels

393 Pages·2019·6.125 MB·English

by  Diederik Aerts (Editor), Maria Luisa Dalla Chiara (Editor), Christian de Ronde (Editor), Decio Krause (Editor)

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Published by
World Scientific Publishing Co. Pte. Ltd.
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USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601
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British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library.
PROBING THE MEANING OF QUANTUM MECHANICS
Information, Contextuality, Relationalism and Entanglement
Proceedings of the II International Workshop on Quantum Mechanics and Quantum Informa-
tion. Physical, Philosophical and Logical Approaches
Copyright © 2019 by World Scientific Publishing Co. Pte. Ltd.
All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means,
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system now known or to be invented, without written permission from the publisher.
For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance
Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy
is not required from the publisher.
ISBN 978-981-3276-88-8
For any available supplementary material, please visit
https://www.worldscientific.com/worldscibooks/10.1142/11172#t=suppl
Desk Editor: Ng Kah Fee
Typeset by Stallion Press
Email: [email protected]
Printed in Singapore
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PREFACE
After more than a century since its birth, quantum mechanics continues to
be an intriguing theory. Its key elements — namely, quantum superposi-
tions and entanglement — are being used with great success at the fore-
front of today’s most powerful and challenging technological innovations,
such as quantum computation, quantum information, quantum sensoring
and quantum cryptography. Its formalism is systematically giving rise to
new multidisciplinary theoretical domains like quantum biology, quantum
cognition, quantum natural language processing and quantum economics.
However, regardless of this amazing productive capacity, it is still consid-
ered by the majority of the scientific community as a theory which has
not been yet properly understood. It is for this reason that till today, its
foundational aspects continue to raise passionate debates and discussions
not only within physical, but also within philosophical, mathematical and
logical circles.
This book is part of a series which addresses foundational questions
about quantum mechanics and its applications in an interdisciplinary
manner considering simultaneously physical, philosophical, mathematical
and logical perspectives and analysis. Going from philosophy of quantum
mechanicstoquantumlogic,fromcategoricalapproachestoquantuminfor-
mationprocessing,the originalityofthis book residesinthe multiplicity of
approaches which contribute to the common aim to grasp the meaning of
thetheoryofquanta.Webelievethattheadvancementofsuchunderstand-
ing will be possible notby fragmentingthe theory into smaller andsmaller
separatedtopicsofresearch,butontheverycontrary,throughthecommon
sharinganddiscussionofmultiple perspectivescoming fromdifferentfields
and disciplines.
Asinthepreviouseditions,thenoveltyofthebookcomesfromthemul-
tiple perspectives put forward by top researchers in quantum mechanics,
from Europe as well as North and South America, discussing the meaning
and structure of the theory of quanta. The book comprises in a balanced
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vi
manner physical, philosophical, logical and mathematical approaches to
quantum mechanics and quantum information. From quantum superposi-
tionsandentanglementtodynamicsandtheproblemofidentity,fromquan-
tum logic, computationandquasi-settheoryto categoricalapproachesand
teleportation, from realism and empiricism to operationalism and instru-
mentalism, the book touches from different viewpoints some of the most
intriguing questions about quanta. From Buenos Aires to Brussels and
Cagliari, from Florence to Floriano´polis, the interaction between different
groupsisreflectedinthe many articlesapproachingdifferentquestionsand
problems.Thisbookisinterestingnotonlytothespecialistsbutalsotothe
general public attempting to get a graspon some of the most fundamental
questions of present quantum physics.
D. Aerts, M. L. Dalla Chiara, C. de Ronde & D. Krause
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CONTENTS
Preface v
A Note on the Statistical Sampling Aspect of Delayed Choice
Entanglement Swapping 1
Karl Svozil
The ExtendedBlochRepresentationofQuantum Mechanicsfor
Infinite-Dimensional Entities 11
Diederik Aerts and Massimiliano Sassoli de Bianchi
Fredkin and Toffoli Quantum Gates: Fuzzy Representations
and Comparison 27
Ranjith Venkatrama, Giuseppe Sergioli, Hector Freytes
and Roberto Leporini
Phase Symmetries of Coherent States in Galois
Quantum Mechanics 41
Julien Page and Gabriel Catren
Metaphors in Science and in Music. A Quantum
Semantic Approach 69
M.L. Dalla Chiara, R. Giuntini and E. Negri
Why Protective Measurement Implies the Reality of the Wave
Function: Further Consolidation 89
Shan Gao
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viii
Does Identity Hold A Priori in Standard Quantum Mechanics? 99
Jonas R. Becker Arenhart and D´ecio Krause
ImmanentPowersversusCausalPowers(Propensities,Latencies
and Dispositions) in Quantum Mechanics 121
Christian de Ronde
Outlines for a Phenomenological Foundation for de Ronde’s
Theory of Powers and Potentia 159
Mat´ıas Graffigna
On Aerts’ Overlooked Solution to the Einstein-Podolsky-Rosen
Paradox 185
Massimiliano Sassoli de Bianchi
The Relativistic Transactional Interpretation: Immune
to the Maudlin Challenge 203
R. E. Kastner
The Ineffable Nature of Being. In Memoriam:
Bernard d’Espagnat 213
Jairo Rold´an-Charria
QBism, Bohr, and the Quantum Omelette Tossed by de Ronde 247
Ulrich Mohrhoff
Ontic Structral Realism and Quantum Mechanics 263
Joao L. Cordovil
Epistemological vs. Ontological Relationalism in Quantum
Mechanics: Relativism or Realism? 277
Christian de Ronde and Raimundo Ferna´ndez Mouj´an
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Quantum Cognitive Modeling of Concepts: An Introduction 319
Tomas Veloz and Pablo Razeto
Quantum Cognition Goes Beyond-Quantum: Modeling the
Collective Participant in Psychological Measurements 355
Diederik Aerts, Massimiliano Sassoli de Bianchi,
Sandro Sozzo and Tomas Veloz