Acad. We focus on the meaning that our interpretation of quantum theory assigns to the sorts of density matrices that arise due to entanglement. Mod. There is a reasonable consensus within philosophy of physics on what the main viable interpretative strategies are, which goes Foundations of Physics

Learn more about Institutional subscriptions. Its v15 was published in Z. Natf. gH��FIQ,��w{v��[��sK8d�Nx�qS��s�˄u���������]Ze:��[ila�z�ȇ��M9�]�H�"�EAd��%i�F ��é�wu{�����M�JR�)�ejS=�XߍN��� �����8U��Ӫ#��`��V�J�����"M��,��eC����k�|�m�!Q��Ʒ�Б�}l�a�x�����|��1�r�(a1�z�:4�?�r���*����X�K�w�x����ۍ^���i:�?H^�����>$�,Z���+b����_�2���>Fp�f�Ļ�͛-~n��uwh�z�i��oM��%7������C����'�c� �����vUK�z%�\u(��2\� (Heinemann, London, 1962), p. 284. This change was driven by Landé's perception that wave-particle duality was an unnecessary misrepresentation of quantum processes … About this Attention Score In the top 25% of all research outputs scored by Altmetric. (2) The process of measurement is not describable within the framework of the theory. The strange (hi)story of particles and waves - This review article on the interpretation of quantum theory is regularly updated here and (less often) at arxiv:1304.1003. In this book the authors give within the Hilbert space formulation of quantum mechanics a systematic exposition of the quantum theory of measurement. Before beginning to survey the various ways philosophers have attempted to interpret Everett, we must address the question of whether or not there even are rival interpretations of Everett. Quantum theory lets us put quantitative values on the "probabilities" for each of the "possibilities." The theory is now understood as a semi-classical approximation to modern quantum mechanics. Mod. Physik The entire system including the apparatus and even the mind of the observer can be considered to develop according to the Schrodinger equation. Altmetric Badge. Quantum Theory and Measurement Edited by John Archibald Wheeler and Wojciech Hubert Zurek Princeton Series in Physics Princeton University Press Princeton, New Jersey 1983 . J. Phys. $\psi$-epistemic interpretations of quantum theory maintain that quantum states only represent incomplete information about the physical states of the world. In this section, we shall review quantum language (i.e., the linguistic Copenhagen interpretation of quantum mechanics, or measurement theory), which has the following form: Quantumlanguage (= measurementtheory) = measurement (Axiom 1) + causality (Axiom 2) + linguistic(Copenhagen)interpretation (how to use Axioms 1 and 2) (1) - 91.228.154.182. We introduce a realist, unextravagant interpretation of quantum theory that builds on the existing physical structure of the theory and allows experiments to have definite outcomes but leaves the theory's basic dynamical content essentially intact. Institut für Theoretische Physik, Universität Heidelberg, Heidelberg, Germany, You can also search for this author in ��Ni��2�dM��ڗ�38�:��4N���t�$Q Probability of the measurement to be m The above equation gives the probability of the measurement to output value m. 138, B274 (1965). Such a program meets serious difficulties with quantummechanics, essentially because of two formal aspects of the theorywhich are common to all of its versions, from the originalnonrelativistic formulations of th… Title: On the interpretation of measurement in quantum theory Author: Heinrich Paes-neuneu Created Date: 5/10/2016 4:59:51 PM 33, 297 (1962);Nuovo Cimento In quantum mechanics, the measurement problem considers how, or whether, wave function collapse occurs. Part of Springer Nature. In this paper, we shall show how the theory of measurements is to be understood from the point of view of a physical interpretation of the quantum theory in terms of "hidden" variables, developed in a previous paper. The Many-Worlds Interpretation of Quantum Mechanics. Any realist interpretation of quantum theory must grapple with the measurement problem and the status of state-vector collapse. Natl. On the interpretation of measurement in quantum theory. © 2021 Springer Nature Switzerland AG. On the Interpretation of Measurement within the Quantum Theory was published in The Many Worlds Interpretation of Quantum Mechanics on page 219. On the interpretation of measurement in quantum theory. We need now to accept that physics is essentially indeterministic; that particles may be somewhere without being at any particular place; that they may have energy and momentum without having any particular value for them; and a host more non-classical oddities. Immediate online access to all issues from 2019. 38, 447 (1966); D. Bohm and J. Bub,Rev. If you have had a deeper look into the theory of Quantum Computation, chances are that you might have come across this term called measurement.On a top level, measurement is essentially what the figure above depicts: some operation on a qubit (some sort of superposition state of basis vectors|0> and |1>) to get a classical bit (the process of which is … In Section 2, we lay out the axioms that define the minimal modal interpretation. 108, 1070 (1957). Such collapse is a useful rule to do calculation but it is only a fiction. Phys. : USDOE OSTI Identifier: 4012054 The next weaker sum-rule defines a {\it generalized measure theory} which includes quantum mechanics as a special case. volume 1, pages69–76(1970)Cite this article. Since the entire measurement system is entangled (by quantum entanglement), the collapse of a single particle initiates the collapse of the entire measurement apparatus. Good, ed. The Quantum Theory of Measurement 539 Other topics covered in this chapter include information theoretical aspects of measurements, measurement dynamics, limitations on measurability, ideal and non-ideal measurement, repeatable measurement and continuous observables, and preparation and determination of states. Mod. W. Heisenberg,Rev. Sci. In this-epistemic models that doesn’t rely on an additional assumption such as the lo-cality assumption required in [40] which con icts with the non-locality that is implied by Bell’s theorem [43,46]. Any realist interpretation of quantum theory must grapple with the measurement problem and the status of state-vector collapse. Measurements are less arbitrary but still so, as decoherence is a fuzzily defined concept, that keeps a margin of under-determination. Quantum mechanics arose in the 1920s, and since then scientists have disagreed on how best to interpret it. Phys. (RR) Von Neumann’s (1927, 1932) measurement theory is. physics is essentially indeterministic; that particles may besomewhere without being at any particular place; that they may have energy andmomentum without having any particular value for them; and a host morenon-classical MEASUREMENT AND THE INTERPRETATION OF QUANTUM MECHANICS AND RELATIVITY THEORY ABSTRACT. Rat… An interpretation of the process of measurement is proposed which can be placed wholly within the quantum theory. 1, 60438 Frankfurt am Main, Germany The Copenhagen interpretation of quantum theory is investigated from a philosophical point of view. 88, 101 (1952); E. P. Wigner and M. M. Yanase,Proc. Conclusion. Phys. Theoret. The amazing accuracy in verifying quantum effects experimentally has recently renewed interest in quantum mechanical measurement theory. Bryce DeWitt (1923-2004) took it to be the case that th… Rev. Notable results from this period include Planck's calculation of the blackbody radiation spectrum, Einstein's explanation of the photoelectric effect, Einstein and Debye's work on the specific heat of solids, Bohr and van Leeuwen's proof that classical physics cannot account for diamagnetism, Bohr's model of the hydrogen atom and Arnold Sommerfeld's extension of the Bohr model to include relativistic effects. G. C. Wick, A. S. Wightman, and E. P. Wigner,Phys. INTERPRETATION OF MEASUREMENT WITHIN THE QUANTUM THEORY. An interpretation of quantum mechanics is an attempt to explain how the mathematical theory of quantum mechanics "corresponds" to reality. 131, 2766 (1963); P. Caruthers and M. M. Nieto,Am. Subscription will auto renew annually. 2.7 Solution: reference points from a journey. (3) The subject-object distinction is blurred. (US) Mod. �"��u��c��!�J\8y�dP|nr9a4.�~�����������2.���pM��%����G'(�*��8�Ŋ��d�x2�بL|=a)�X*b��$��/@�&��9G-k�^C$�XA���zkp Y��-�7Q��R� �\ᖅ���nPV��)f`�d�JcM�,틆�g7�xqrYjQf\�`�QuO'J��n�"��XKl��i�T�I�^�~m/��sܫ x �r��jh�5L�9�v�Ժ�z��7b�jX�������.�E�t������Ŵ���=.��Tt�C� u��a�5���42���I_ The 5D quantum interpretation theory incorporates the best of Many Worlds and Consistent Histories into one. Instead, it is argued that the probability interpretation is compatible with an objective interpretation of the wave function. The old quantum theory is a collection of results from the years 1900–1925 which predate modern quantum mechanics. Namely, Consistent Quantum Theory/Decoherent Histories are modernized versions rebuilt on decoherence rather than totally arbitrary (undefined) "measurements". “The interpretation is objective and realistic, and at the same time as simple as possible. The key idea of the many-worlds interpretation is that unitary quantum mechanics describes the whole universe. On the Interpretation of Measurement in Quantum Theory 71 2. stream She 122, 345 (1961). E. P. Wigner, inThe Scientist Speculates, L. J. In a no-collapse approach, measurement is typically modeled as a dynamical process involving decoherence. The quantum theory of observation consists in studying the processes of observation with the tools of quantum physics. A few of their implications are considered here. The introduction of hidden variables to determine the outcome of individual events is fully compatible with the statistical predictions of quantum theory. 44B, 119 (1966); L. Rosenfeld,Progr. On the interpretation of measurement in quantum theory. Within the ontological models formalism3, ψ-epistemic models can be given a precise mathematical This is a preview of subscription content, access via your institution. This interpretation supports such interpretations of quantum mechanics that support classical scientific principles. Phys. Full Record; Other Related Research; Authors: Cooper, L N; Van Vechten, D Publication Date: Wed Jan 01 00:00:00 EST 1969 Research Org. Under the Copenhagen interpretation of quantum mechanics, each particle is individually in an uncertain state until it is measured, at which point the state of that particle becomes certain. The entire system including the apparatus and even the mind of the observer can be considered to develop according to the Schrödinger equation. The Measurement Process in the Individual Interpretation of Quantum Mechanics Both the observed system and the observer system (the measuring apparatus) are considered as quantum systems. In a no-collapse approach, measurement is typically modeled as a dynamical process involving decoherence. The inability to observe such a collapse directly has given rise to different interpretations of quantum mechanics and poses a key set of questions that each interpretation must answer. Any realist interpretation of quantum theory must grapple with the measurement problem and the status of state-vector collapse. This is one of the most important books on quantum mechanics to have appeared in recent years. the quantum measurement problem David Wallace November 10, 2018 ... As of 2017, the debate about the correct interpretation of quantum theory seems largely deadlocked. 33, 537 (1965); B. Jancovici and D. Schiff,Nucl. It is demonstrated that neither the arguments leading to inconsistencies in the description of quantum-mechanical measurement nor those “explaining” the process of measurement by means of thermodynamical statistics are valid. As stated already, a very natural question which all scientists whoare concerned about the meaning and the value of science have to face,is whether one can develop a coherent worldview that can accommodateour knowledge concerning natural phenomena as it is embodied in ourbest theories. OF QUANTUM THEORY by John A. Wheeler 151 QUANTUM MECHANICS AND REALITY by Bryce S.DeWitt ,..155 THE MANY-UNIVERSES INTERPRET ATION OF QUANTUM MECHANICS by Bryce S.DeWitt 167 ONTHE INTERPRETATION OF MEASUREMENT WITHIN THE QUANTUM THEORY by Leon N. Cooper and Deborah van Vechten 219 THE MEASUREMENT OFRELATIVE FREQUENCY byNeill Graham 229 29, 269 (1957); Y. Nambu and G. Jona-Lasinio,Phys. CONTENTS BOHR AND EINSTEIN IN DIALOGUE v PREFACE xv ACKNOWLEDGMENTS AND COPYRIGHT INFORMATION xxi COMMENTARIES 1.1 The Bohr-Einstein Dialogue 3 1.2 Born's Probabilistic Interpretation … These no-go theorems are gen-erally proven within the ontological models formalism, which describes a large class of existing interpretations of quantum theory [21,44,45]. Found Phys 1, 69–76 (1970). It offers a dramatically new interpretation that resolves puzzles and paradoxes associated with the measurement problem and the behavior of coupled systems. The usual interpretation of quantum theory is clouded by the following points. Quantum theory has made many demands upon us. D. Bohm,Quantum Theory (Prentice-Hall, Englewood Cliffs, N.J., 1951). (RR) have much to learn about the nature of measurement and the mechanism of collapse. 4 0 obj Traditionally, because of the history of the discovery of QM, experience has been equated to experiments. CRITICISM OF STATISTICAL INTERPRETATIONS Results apparently in contradiction to those of the preceding section have been derived in a series of papers (2) which try to make use of the uncertainties in the microscopic properties of the apparatus of measurement. The amazing accuracy in verifying quantum effects experimentally has recently renewed interest in quantum mechanical measurement theory. The orthodox view reflects a radical departure from the traditional attitude in the analysis of the external world, an attitude of mind inherited from the rationalistic tradition. The effect of the measurement on this open system is given by the generalized measurement postulate. About this book. : USDOE OSTI Identifier: … A major motivation for this view is the promise to provide a reasonable account of state update under measurement by asserting that it is simply a natural feature of updating incomplete statistical information. 33, 711 (1960). Pages 131-137. At that exact same moment, the other particle's state also becomes certain. (1) Invalid classical concepts are ascribed fundamental status. The fact that quantum probabilities can be expressed ``as the squares of quantum amplitudes'' is thus derived in a natural manner, and a series of natural generalizations of the quantum formalism is delineated. We find that in principle, these "hidden" variables determine the precise results of each individual measurement process. Https: //doi.org/10.1007/BF00708656, Over 10 million scientific documents at your fingertips, logged... Of Many Worlds and consistent Histories into one statistical predictions of quantum mechanics `` ''. 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