Bell's Theorem and Its First Experimental Tests
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Dear Fellow Quantum Mechanics;
Dear Fellow Quantum Mechanics Jeremy Bernstein Abstract: This is a letter of inquiry about the nature of quantum mechanics. I have been reflecting on the sociology of our little group and as is my wont here are a few notes. I see our community divided up into various subgroups. I will try to describe them beginning with a small group of elderly but distinguished physicist who either believe that there is no problem with the quantum theory and that the young are wasting their time or that there is a problem and that they have solved it. In the former category is Rudolf Peierls and in the latter Phil Anderson. I will begin with Peierls. In the January 1991 issue of Physics World Peierls published a paper entitled “In defence of ‘measurement’”. It was one of the last papers he wrote. It was in response to his former pupil John Bell’s essay “Against measurement” which he had published in the same journal in August of 1990. Bell, who had died before Peierls’ paper was published, had tried to explain some of the difficulties of quantum mechanics. Peierls would have none of it.” But I do not agree with John Bell,” he wrote,” that these problems are very difficult. I think it is easy to give an acceptable account…” In the rest of his short paper this is what he sets out to do. He begins, “In my view the most fundamental statement of quantum mechanics is that the wave function or more generally the density matrix represents our knowledge of the system we are trying to describe.” Of course the wave function collapses when this knowledge is altered. -
Multi-Dimensional Entanglement Transport Through Single-Mode Fibre
Multi-dimensional entanglement transport through single-mode fibre Jun Liu,1, ∗ Isaac Nape,2, ∗ Qianke Wang,1 Adam Vall´es,2 Jian Wang,1 and Andrew Forbes2 1Wuhan National Laboratory for Optoelectronics, School of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China. 2School of Physics, University of the Witwatersrand, Private Bag 3, Wits 2050, South Africa (Dated: April 8, 2019) The global quantum network requires the distribution of entangled states over long distances, with significant advances already demonstrated using entangled polarisation states, reaching approxi- mately 1200 km in free space and 100 km in optical fibre. Packing more information into each photon requires Hilbert spaces with higher dimensionality, for example, that of spatial modes of light. However spatial mode entanglement transport requires custom multimode fibre and is lim- ited by decoherence induced mode coupling. Here we transport multi-dimensional entangled states down conventional single-mode fibre (SMF). We achieve this by entangling the spin-orbit degrees of freedom of a bi-photon pair, passing the polarisation (spin) photon down the SMF while ac- cessing multi-dimensional orbital angular momentum (orbital) subspaces with the other. We show high fidelity hybrid entanglement preservation down 250 m of SMF across multiple 2 × 2 dimen- sions, demonstrating quantum key distribution protocols, quantum state tomographies and quantum erasers. This work offers an alternative approach to spatial mode entanglement transport that fa- cilitates deployment in legacy networks across conventional fibre. Entanglement is an intriguing aspect of quantum me- chanics with well-known quantum paradoxes such as those of Einstein-Podolsky-Rosen (EPR) [1], Hardy [2], and Leggett [3]. -
The Secret Hans2.Doc Italicized Paragraphs Not Presented September 19, 2005
091805 The Secret Hans2.doc Italicized paragraphs not presented September 19, 2005 The Secret Hans Richard L. Garwin at Celebrating an Exemplary Life September 19, 2005 Cornell University I recount1 some early interactions I had with Hans, beginning in 1951. Hans had led the Theoretical Division at Los Alamos from 1943 to 1945, and despite his antagonism to the hydrogen bomb, was willing to turn his talents to learning whether it could be done or not, which was his role when we interacted in the summer of 1951. In May of 1951 my wife and I and our infant son went to Los Alamos for the second summer, where I would continue to work mostly on nuclear weapons. I was at that time an Assistant Professor at the University of Chicago and had spent the summer of 1950 at the Los Alamos Laboratory, sharing an office with my colleague and mentor Enrico Fermi—Hans Bethe's mentor in Rome as well. When I returned in 1951, and asked Edward Teller, another University of Chicago colleague, what was new and what I could do, he asked me to devise an experiment to confirm the principle of "radiation implosion," then very secret, that he and Ulam had invented that February. In May 1951, the young physicists Marshall Rosenbluth and Conrad Longmire were trying to do actual calculations on this method for using the energy from an ordinary fission bomb to compress and heat fusion fuel-- that is, heavy hydrogen (deuterium). I decided that the most convincing experiment would be a full-scale hydrogen bomb, so I set about designing that. -
On Monte Carlo Time-Dependent Variational Principles
On Monte Carlo Time-Dependent Variational Principles Von der QUEST-Leibniz-Forschungsschule der Gottfried Wilhelm Leibniz Universit¨atHannover zur Erlangung des akademischen Grades Doktor der Naturwissenschaften { Doctor rerum naturalium { genehmigte Dissertation von FABIANWOLFGANGG UNTERTRANSCHEL¨ Geboren am 10.01.1987 in Gehrden 2016 0 Erstpr¨ufer : Prof. Dr. Reinhard F. Werner Zweitpr¨ufer : Prof. Dr. Klemens Hammerer Beratendes Mitglied des Pr¨ufungsausschusses : Prof. Dr. Tobias J. Osborne Vorsitzender des Pr¨ufungsausschusses : Prof. Dr. Rolf Haug Tag der Promotion: 17. Dezember 2015 On Monte Carlo Time-Dependent Variational Principles Fabian W. G. Transchel Abstract The present dissertation is concerned with the development and implementation of a novel scheme for quantitative, numeric approximation of the dynamics of quantum lattice systems based on the Time-Dependent Variational Principle together with Monte Carlo techniques in order to include dissipative interactions. The specific implementation is demonstrated on both common and not yet in-detail explored Heisenberg- and Fermi-Hubbard models in one and two dimensions. Additionally, the technical requirements regarding computational complexity and capacity are discussed, especially with regards toward parallelizable components of the imple- mentation. Concluding remarks include prospects with respect to application and extension of the presented methods. Keywords: Monte Carlo method, Dissipative Dynamics, Lindblad Equation iii Zusammenfassung Die vorliegende Dissertation befasst sich mit der Entwicklung und Umsetzung eines neuartigen Schemas zur quantitativen numerischen N¨aherung der Dynamik von Quantengittersystemen auf Grundlage des zeitabh¨angigenVariationsprinzips unter Zuhilfenahme von Monte-Carlo-Techniken zur Einbeziehung von dissipativen Wech- selwirkungen. Die Implementierung wird anhand von Beispielen f¨urHeisenberg- und Fermi-Hubbard-Modellen in einer und zwei Dimensionen gezeigt und erl¨autert. -
2005 Annual Report American Physical Society
1 2005 Annual Report American Physical Society APS 20052 APS OFFICERS 2006 APS OFFICERS PRESIDENT: PRESIDENT: Marvin L. Cohen John J. Hopfield University of California, Berkeley Princeton University PRESIDENT ELECT: PRESIDENT ELECT: John N. Bahcall Leo P. Kadanoff Institue for Advanced Study, Princeton University of Chicago VICE PRESIDENT: VICE PRESIDENT: John J. Hopfield Arthur Bienenstock Princeton University Stanford University PAST PRESIDENT: PAST PRESIDENT: Helen R. Quinn Marvin L. Cohen Stanford University, (SLAC) University of California, Berkeley EXECUTIVE OFFICER: EXECUTIVE OFFICER: Judy R. Franz Judy R. Franz University of Alabama, Huntsville University of Alabama, Huntsville TREASURER: TREASURER: Thomas McIlrath Thomas McIlrath University of Maryland (Emeritus) University of Maryland (Emeritus) EDITOR-IN-CHIEF: EDITOR-IN-CHIEF: Martin Blume Martin Blume Brookhaven National Laboratory (Emeritus) Brookhaven National Laboratory (Emeritus) PHOTO CREDITS: Cover (l-r): 1Diffraction patterns of a GaN quantum dot particle—UCLA; Spring-8/Riken, Japan; Stanford Synchrotron Radiation Lab, SLAC & UC Davis, Phys. Rev. Lett. 95 085503 (2005) 2TESLA 9-cell 1.3 GHz SRF cavities from ACCEL Corp. in Germany for ILC. (Courtesy Fermilab Visual Media Service 3G0 detector studying strange quarks in the proton—Jefferson Lab 4Sections of a resistive magnet (Florida-Bitter magnet) from NHMFL at Talahassee LETTER FROM THE PRESIDENT APS IN 2005 3 2005 was a very special year for the physics community and the American Physical Society. Declared the World Year of Physics by the United Nations, the year provided a unique opportunity for the international physics community to reach out to the general public while celebrating the centennial of Einstein’s “miraculous year.” The year started with an international Launching Conference in Paris, France that brought together more than 500 students from around the world to interact with leading physicists. -
Scientific Report for the Year 2000
The Erwin Schr¨odinger International Boltzmanngasse 9 ESI Institute for Mathematical Physics A-1090 Wien, Austria Scientific Report for the Year 2000 Vienna, ESI-Report 2000 March 1, 2001 Supported by Federal Ministry of Education, Science, and Culture, Austria ESI–Report 2000 ERWIN SCHRODINGER¨ INTERNATIONAL INSTITUTE OF MATHEMATICAL PHYSICS, SCIENTIFIC REPORT FOR THE YEAR 2000 ESI, Boltzmanngasse 9, A-1090 Wien, Austria March 1, 2001 Honorary President: Walter Thirring, Tel. +43-1-4277-51516. President: Jakob Yngvason: +43-1-4277-51506. [email protected] Director: Peter W. Michor: +43-1-3172047-16. [email protected] Director: Klaus Schmidt: +43-1-3172047-14. [email protected] Administration: Ulrike Fischer, Eva Kissler, Ursula Sagmeister: +43-1-3172047-12, [email protected] Computer group: Andreas Cap, Gerald Teschl, Hermann Schichl. International Scientific Advisory board: Jean-Pierre Bourguignon (IHES), Giovanni Gallavotti (Roma), Krzysztof Gawedzki (IHES), Vaughan F.R. Jones (Berkeley), Viktor Kac (MIT), Elliott Lieb (Princeton), Harald Grosse (Vienna), Harald Niederreiter (Vienna), ESI preprints are available via ‘anonymous ftp’ or ‘gopher’: FTP.ESI.AC.AT and via the URL: http://www.esi.ac.at. Table of contents General remarks . 2 Winter School in Geometry and Physics . 2 Wolfgang Pauli und die Physik des 20. Jahrhunderts . 3 Summer Session Seminar Sophus Lie . 3 PROGRAMS IN 2000 . 4 Duality, String Theory, and M-theory . 4 Confinement . 5 Representation theory . 7 Algebraic Groups, Invariant Theory, and Applications . 7 Quantum Measurement and Information . 9 CONTINUATION OF PROGRAMS FROM 1999 and earlier . 10 List of Preprints in 2000 . 13 List of seminars and colloquia outside of conferences . -
Arxiv:1805.06871V2 [Physics.Hist-Ph] 21 May 2018
VISITING NEWTON'S ATELIER BEFORE THE PRINCIPIA, 1679-1684. MICHAEL NAUENBERG UNIVERSITY OF CALIFORNIA SANTA CRUZ Abstract. The manuscripts that presumably contained Newton's early development of the fundamental concepts that led to his Principia have been lost. A plausible recon- struction of this development is presented based on Newton's exchange of letters with Robert Hooke in 1679, with Edmund Halley in 1686, and on some clues in the diagram associated with Proposition1 in Book1 of the Principia that have been ignored in the past. The graphical method associated with this proposition leads to a rapidly conver- gent method to obtain orbital curves for central forces, and elucidates how Newton may have have been led to formulate some of his other propositions in the Principia.. 1. Introduction The publication of Newton's masterpiece, \Mathematical Principles of Natural Philos- ophy" known as Principia [1], marks the beginning of modern theoretical Physics and Astronomy. It was regarded as a very difficult book by his contemporaries, and also by modern readers. In 1687 when the Principia was first published, it was claimed that only a handful of readers in Europe were competent to read it [2]. John Locke, for example, found the demonstrations impenetrable, and asked Christiaan Huygens if he could trust them. When Huygens assured him that he could, \he applied himself to the prose and digested the physics without the mathematics" [3]. Shortly after the release of the Principia a group of students at Cambridge supposedly were heard by Newton to say, \here goes a man who has written a book that neither he nor anyone else understands" [4]. -
Bachelorarbeit
Bachelorarbeit The EPR-Paradox, Nonlocality and the Question of Causality Ilvy Schultschik angestrebter akademischer Grad Bachelor of Science (BSc) Wien, 2014 Studienkennzahl lt. Studienblatt: 033 676 Studienrichtung lt. Studienblatt: Physik Betreuer: Univ. Prof. Dr. Reinhold A. Bertlmann Contents 1 Motivation and Mathematical framework 2 1.1 Entanglement - Separability . .2 1.2 Schmidt Decomposition . .3 2 The EPR-paradox 5 2.1 Introduction . .5 2.2 Preface . .5 2.3 EPR reasoning . .8 2.4 Bohr's reply . 11 3 Hidden Variables and no-go theorems 12 4 Nonlocality 14 4.1 Nonlocality and Quantum non-separability . 15 4.2 Teleportation . 17 5 The Bell theorem 19 5.1 Bell's Inequality . 19 5.2 Derivation . 19 5.3 Violation by quantum mechanics . 21 5.4 CHSH inequality . 22 5.5 Bell's theorem and further discussion . 24 5.6 Different assumptions . 26 6 Experimental realizations and loopholes 26 7 Causality 29 7.1 Causality in Special Relativity . 30 7.2 Causality and Quantum Mechanics . 33 7.3 Remarks and prospects . 34 8 Acknowledgment 35 1 1 Motivation and Mathematical framework In recent years, many physicists have taken the incompatibility between cer- tain notions of causality, reality, locality and the empirical data less and less as a philosophical discussion about interpretational ambiguities. Instead sci- entists started to regard this tension as a productive resource for new ideas about quantum entanglement, quantum computation, quantum cryptogra- phy and quantum information. This becomes especially apparent looking at the number of citations of the original EPR paper, which has risen enormously over recent years, and be- coming the starting point for many groundbreaking ideas. -
Gerald Holton Wins Pais Prize by Daniel M
History Physics NEWSLETTER A F o r u m o F T h e A m e r i c A n P h y s i cof A l s o c i e T y • V o l u m e X • n o . 4 • s P r i n G 2 0 0 8 Gerald Holton Wins Pais Prize By Daniel M. Siegel, Chair, Pais Prize Selection Committee, and David C. Cassidy he American Physical Society and the American an NSF-sponsored national curriculum-development project Institute of Physics have chosen Gerald Holton to co-directed by Holton. With its textbook, films, laboratory Treceive the 2008 Abraham Pais Prize for the History of exercises, and other materials, the Course brought physics, Physics “for his pioneering work in the history of physics, as seen through its history, to some 200,000 high school especially on Einstein and relativity. students a year. The book still exists His writing, lecturing, and leader- in a revised edition titled Under- ship of major educational projects standing Physics (Springer, 2002), introduced history of physics to a coauthored with David Cassidy and mass audience.” Holton joins previ- James Rutherford. This project not ous winners Martin J. Klein, John only influenced an entire generation L. Heilbron, and Max Jammer in of physics students and educators, receiving this distinguished prize, but it also inspired recent initiatives which will be awarded to him dur- by the NSF, the National Research ing the April 2008 APS meeting in Council, and the American Associa- St. Louis. tion for the Advancement of Science After receiving a certificate of to improve U.S. -
Many Worlds Model Resolving the Einstein Podolsky Rosen Paradox Via a Direct Realism to Modal Realism Transition That Preserves Einstein Locality
Many Worlds Model resolving the Einstein Podolsky Rosen paradox via a Direct Realism to Modal Realism Transition that preserves Einstein Locality Sascha Vongehr †,†† †Department of Philosophy, Nanjing University †† National Laboratory of Solid-State Microstructures, Thin-film and Nano-metals Laboratory, Nanjing University Hankou Lu 22, Nanjing 210093, P. R. China The violation of Bell inequalities by quantum physical experiments disproves all relativistic micro causal, classically real models, short Local Realistic Models (LRM). Non-locality, the infamous “spooky interaction at a distance” (A. Einstein), is already sufficiently ‘unreal’ to motivate modifying the “realistic” in “local realistic”. This has led to many worlds and finally many minds interpretations. We introduce a simple many world model that resolves the Einstein Podolsky Rosen paradox. The model starts out as a classical LRM, thus clarifying that the many worlds concept alone does not imply quantum physics. Some of the desired ‘non-locality’, e.g. anti-correlation at equal measurement angles, is already present, but Bell’s inequality can of course not be violated. A single and natural step turns this LRM into a quantum model predicting the correct probabilities. Intriguingly, the crucial step does obviously not modify locality but instead reality: What before could have still been a direct realism turns into modal realism. This supports the trend away from the focus on non-locality in quantum mechanics towards a mature structural realism that preserves micro causality. Keywords: Many Worlds Interpretation; Many Minds Interpretation; Einstein Podolsky Rosen Paradox; Everett Relativity; Modal Realism; Non-Locality PACS: 03.65. Ud 1 1 Introduction: Quantum Physics and Different Realisms ............................................................... -
Hidden Variables and the Two Theorems of John Bell
Hidden Variables and the Two Theorems of John Bell N. David Mermin What follows is the text of my article that appeared in Reviews of Modern Physics 65, 803-815 (1993). I’ve corrected the three small errors posted over the years at the Revs. Mod. Phys. website. I’ve removed two decorative figures and changed the other two figures into (unnumbered) displayed equations. I’ve made a small number of minor editorial improvements. I’ve added citations to some recent critical articles by Jeffrey Bub and Dennis Dieks. And I’ve added a few footnotes of commentary.∗ I’m posting my old paper at arXiv for several reasons. First, because it’s still timely and I’d like to make it available to a wider audience in its 25th anniversary year. Second, because, rereading it, I was struck that Section VII raises some questions that, as far as I know, have yet to be adequately answered. And third, because it has recently been criticized by Bub and Dieks as part of their broader criticism of John Bell’s and Grete Hermann’s reading of John von Neumann.∗∗ arXiv:1802.10119v1 [quant-ph] 27 Feb 2018 ∗ The added footnotes are denoted by single or double asterisks. The footnotes from the original article have the same numbering as in that article. ∗∗ R¨udiger Schack and I will soon post a paper in which we give our own view of von Neumann’s four assumptions about quantum mechanics, how he uses them to prove his famous no-hidden-variable theorem, and how he fails to point out that one of his assump- tions can be violated by a hidden-variables theory without necessarily doing violence to the whole structure of quantum mechanics. -
Lessons of Bell's Theorem
Lessons of Bell's Theorem: Nonlocality, yes; Action at a distance, not necessarily. Wayne C. Myrvold Department of Philosophy The University of Western Ontario Forthcoming in Shan Gao and Mary Bell, eds., Quantum Nonlocality and Reality { 50 Years of Bell's Theorem (Cambridge University Press) Contents 1 Introduction page 1 2 Does relativity preclude action at a distance? 2 3 Locally explicable correlations 5 4 Correlations that are not locally explicable 8 5 Bell and Local Causality 11 6 Quantum state evolution 13 7 Local beables for relativistic collapse theories 17 8 A comment on Everettian theories 19 9 Conclusion 20 10 Acknowledgments 20 11 Appendix 20 References 25 1 Introduction 1 1 Introduction Fifty years after the publication of Bell's theorem, there remains some con- troversy regarding what the theorem is telling us about quantum mechanics, and what the experimental violations of Bell inequalities are telling us about the world. This chapter represents my best attempt to be clear about what I think the lessons are. In brief: there is some sort of nonlocality inherent in any quantum theory, and, moreover, in any theory that reproduces, even approximately, the quantum probabilities for the outcomes of experiments. But not all forms of nonlocality are the same; there is a distinction to be made between action at a distance and other forms of nonlocality, and I will argue that the nonlocality needed to violate the Bell inequalities need not involve action at a distance. Furthermore, the distinction between forms of nonlocality makes a difference when it comes to compatibility with relativis- tic causal structure.