Christopher Alan Fuchs Curriculum Vitae 8 November 2019
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On the Lattice Structure of Quantum Logic
BULL. AUSTRAL. MATH. SOC. MOS 8106, *8IOI, 0242 VOL. I (1969), 333-340 On the lattice structure of quantum logic P. D. Finch A weak logical structure is defined as a set of boolean propositional logics in which one can define common operations of negation and implication. The set union of the boolean components of a weak logical structure is a logic of propositions which is an orthocomplemented poset, where orthocomplementation is interpreted as negation and the partial order as implication. It is shown that if one can define on this logic an operation of logical conjunction which has certain plausible properties, then the logic has the structure of an orthomodular lattice. Conversely, if the logic is an orthomodular lattice then the conjunction operation may be defined on it. 1. Introduction The axiomatic development of non-relativistic quantum mechanics leads to a quantum logic which has the structure of an orthomodular poset. Such a structure can be derived from physical considerations in a number of ways, for example, as in Gunson [7], Mackey [77], Piron [72], Varadarajan [73] and Zierler [74]. Mackey [77] has given heuristic arguments indicating that this quantum logic is, in fact, not just a poset but a lattice and that, in particular, it is isomorphic to the lattice of closed subspaces of a separable infinite dimensional Hilbert space. If one assumes that the quantum logic does have the structure of a lattice, and not just that of a poset, it is not difficult to ascertain what sort of further assumptions lead to a "coordinatisation" of the logic as the lattice of closed subspaces of Hilbert space, details will be found in Jauch [8], Piron [72], Varadarajan [73] and Zierler [74], Received 13 May 1969. -
Emergence and Phenomenology in Quantum Gravity
Emergence and Phenomenology in Quantum Gravity by Isabeau Premont-Schwarz´ A thesis presented to the University of Waterloo in fulfillment of the thesis requirement for the degree of Doctor of Philosophy in Physics Waterloo, Ontario, Canada, 2010 © Isabeau Premont-Schwarz´ 2010 AUTHOR’S DECLARATION I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, including any required final revisions, as accepted by my examiners. I understand that my thesis may be made electronically available to the public. ii AUTHORSHIP STATEMENT This thesis is based on the following five articles: • A. Hamma, F. Markopoulou, I. Pr´emont-Schwarz and S. Severini, “Lieb-Robinson bounds and the speed of light from topological order,” Phys. Rev. Lett. 102 (2009) 017204 [arXiv:0808.2495 [quant-ph]]. • I. Pr´emont-Schwarz ,A. Hamma, I. Klich and F. Markopoulou, “Lieb-Robinson bounds for commutator-bounded operators ,” Phys. Rev. A 81, 040102(R) (2010) .[arXiv:0912.4544 [quant-ph]]. • I. Pr´emont-Schwarz and J. Hnybida, “Lieb-Robinson bounds with dependence on interaction strengths, ” [arXiv:1002.4190 [math-ph]]. • L. Modesto and I. Pr´emont-Schwarz, “Self-dual Black Holes in LQG: Theory and Phenomenology,” Phys. Rev. D 80, 064041 (2009) [arXiv:0905.3170 [hep-th]]. • S. Hossenfelder, L. Modesto and I. Pr´emont-Schwarz, “A model for non-singular black hole collapse and evaporation ,” Phys. Rev. D 81, 044036 (2010) [arXiv:0912.1823 [gr-qc]]. I did the majority of the work in the first article, but the project was initiated by Fotini Markopoulou-Kalamara and Alioscia Hamma and the manuscript was mostly written by Alioscia Hamma. -
Relational Quantum Mechanics
Relational Quantum Mechanics Matteo Smerlak† September 17, 2006 †Ecole normale sup´erieure de Lyon, F-69364 Lyon, EU E-mail: [email protected] Abstract In this internship report, we present Carlo Rovelli’s relational interpretation of quantum mechanics, focusing on its historical and conceptual roots. A critical analysis of the Einstein-Podolsky-Rosen argument is then put forward, which suggests that the phenomenon of ‘quantum non-locality’ is an artifact of the orthodox interpretation, and not a physical effect. A speculative discussion of the potential import of the relational view for quantum-logic is finally proposed. Figure 0.1: Composition X, W. Kandinski (1939) 1 Acknowledgements Beyond its strictly scientific value, this Master 1 internship has been rich of encounters. Let me express hereupon my gratitude to the great people I have met. First, and foremost, I want to thank Carlo Rovelli1 for his warm welcome in Marseille, and for the unexpected trust he showed me during these six months. Thanks to his rare openness, I have had the opportunity to humbly but truly take part in active research and, what is more, to glimpse the vivid landscape of scientific creativity. One more thing: I have an immense respect for Carlo’s plainness, unaltered in spite of his renown achievements in physics. I am very grateful to Antony Valentini2, who invited me, together with Frank Hellmann, to the Perimeter Institute for Theoretical Physics, in Canada. We spent there an incredible week, meeting world-class physicists such as Lee Smolin, Jeffrey Bub or John Baez, and enthusiastic postdocs such as Etera Livine or Simone Speziale. -
Department of Physics and Astronomy 6127 Wilder Laboratory, Dartmouth College Hanover, NH 03755 Email: [email protected]
CURRICULUM VITAE Name: Marcelo Gleiser Address: Department of Physics and Astronomy 6127 Wilder Laboratory, Dartmouth College Hanover, NH 03755 Email: [email protected] http://www.marcelogleiser.com Telephone: (+1-603) 646-1489/2359 (office) Social Media: Website: https://marcelogleiser.com Facebook: https://www.facebook.com/Marcelo-Gleiser-181684578568436/ Twitter: https://twitter.com Instagram: gleiserofficial YouTube: https://www.youtube.com/c/MarceloGleiser Date of Birth: March 19th, 1959 Place of Birth: Rio de Janeiro, Brazil (U.S. Citizen) Education: Ph.D.: Theoretical Physics from the University of London, King's College London, Jul. 1986. Thesis title: Kaluza-Klein Cosmology Ph.D. advisor: Prof. J.G. Taylor. M.Sc.: Physics from the Federal University of Rio de Janeiro, Jul. 1982. Thesis title: Gauge Field Copies and the Higgs Mechanism. B.Sc.: Physics from the Catholic University of Rio de Janeiro, Jul. 1981. Honors and Awards: • Doctor Honoris Causa { State University of Maranh~ao,Brazil (2020). • 2019 Templeton Prize laureate. • Doctor Honoris Causa { Pontifical Catholic University of Paran´a,Brazil (2019). • 2019 Education Leadership Award from Educando by Worldfund Foundation. • Honorary Fellow, International Society for Science and Religion. • Fellow of the American Physical Society. • 2018 Drawbridge Lecture in Science and Religion, Saint Paul's Cathedral, London. • Elected Professor Extraordinarius at the University of South Africa. • Winner of the 2017 \Jabuti Award", the highest literary award given in Brazil, for nonfiction book \The Simple Beauty of the Unexpected". • Winner of the 2002 \Jabuti Award", the highest literary award given in Brazil, for nonfiction book \The Prophet and the Astronomer". • Winner of the 1998 \Jabuti Award", the highest literary award given in Brazil, for nonfiction book \The Dancing Universe: From Creation Myths to the Big Bang". -
Quantum Theory Cannot Consistently Describe the Use of Itself
ARTICLE DOI: 10.1038/s41467-018-05739-8 OPEN Quantum theory cannot consistently describe the use of itself Daniela Frauchiger1 & Renato Renner1 Quantum theory provides an extremely accurate description of fundamental processes in physics. It thus seems likely that the theory is applicable beyond the, mostly microscopic, domain in which it has been tested experimentally. Here, we propose a Gedankenexperiment 1234567890():,; to investigate the question whether quantum theory can, in principle, have universal validity. The idea is that, if the answer was yes, it must be possible to employ quantum theory to model complex systems that include agents who are themselves using quantum theory. Analysing the experiment under this presumption, we find that one agent, upon observing a particular measurement outcome, must conclude that another agent has predicted the opposite outcome with certainty. The agents’ conclusions, although all derived within quantum theory, are thus inconsistent. This indicates that quantum theory cannot be extrapolated to complex systems, at least not in a straightforward manner. 1 Institute for Theoretical Physics, ETH Zurich, 8093 Zurich, Switzerland. Correspondence and requests for materials should be addressed to R.R. (email: [email protected]) NATURE COMMUNICATIONS | (2018) 9:3711 | DOI: 10.1038/s41467-018-05739-8 | www.nature.com/naturecommunications 1 ARTICLE NATURE COMMUNICATIONS | DOI: 10.1038/s41467-018-05739-8 “ 1”〉 “ 1”〉 irect experimental tests of quantum theory are mostly Here, | z ¼À2 D and | z ¼þ2 D denote states of D depending restricted to microscopic domains. Nevertheless, quantum on the measurement outcome z shown by the devices within the D “ψ ”〉 “ψ ”〉 theory is commonly regarded as being (almost) uni- lab. -
Why Feynman Path Integration?
Journal of Uncertain Systems Vol.5, No.x, pp.xx-xx, 2011 Online at: www.jus.org.uk Why Feynman Path Integration? Jaime Nava1;∗, Juan Ferret2, Vladik Kreinovich1, Gloria Berumen1, Sandra Griffin1, and Edgar Padilla1 1Department of Computer Science, University of Texas at El Paso, El Paso, TX 79968, USA 2Department of Philosophy, University of Texas at El Paso, El Paso, TX 79968, USA Received 19 December 2009; Revised 23 February 2010 Abstract To describe physics properly, we need to take into account quantum effects. Thus, for every non- quantum physical theory, we must come up with an appropriate quantum theory. A traditional approach is to replace all the scalars in the classical description of this theory by the corresponding operators. The problem with the above approach is that due to non-commutativity of the quantum operators, two math- ematically equivalent formulations of the classical theory can lead to different (non-equivalent) quantum theories. An alternative quantization approach that directly transforms the non-quantum action functional into the appropriate quantum theory, was indeed proposed by the Nobelist Richard Feynman, under the name of path integration. Feynman path integration is not just a foundational idea, it is actually an efficient computing tool (Feynman diagrams). From the pragmatic viewpoint, Feynman path integral is a great success. However, from the founda- tional viewpoint, we still face an important question: why the Feynman's path integration formula? In this paper, we provide a natural explanation for Feynman's path integration formula. ⃝c 2010 World Academic Press, UK. All rights reserved. Keywords: Feynman path integration, independence, foundations of quantum physics 1 Why Feynman Path Integration: Formulation of the Problem Need for quantization. -
Quantum Noise in Quantum Optics: the Stochastic Schr\" Odinger
Quantum Noise in Quantum Optics: the Stochastic Schr¨odinger Equation Peter Zoller † and C. W. Gardiner ∗ † Institute for Theoretical Physics, University of Innsbruck, 6020 Innsbruck, Austria ∗ Department of Physics, Victoria University Wellington, New Zealand February 1, 2008 arXiv:quant-ph/9702030v1 12 Feb 1997 Abstract Lecture Notes for the Les Houches Summer School LXIII on Quantum Fluc- tuations in July 1995: “Quantum Noise in Quantum Optics: the Stochastic Schroedinger Equation” to appear in Elsevier Science Publishers B.V. 1997, edited by E. Giacobino and S. Reynaud. 0.1 Introduction Theoretical quantum optics studies “open systems,” i.e. systems coupled to an “environment” [1, 2, 3, 4]. In quantum optics this environment corresponds to the infinitely many modes of the electromagnetic field. The starting point of a description of quantum noise is a modeling in terms of quantum Markov processes [1]. From a physical point of view, a quantum Markovian description is an approximation where the environment is modeled as a heatbath with a short correlation time and weakly coupled to the system. In the system dynamics the coupling to a bath will introduce damping and fluctuations. The radiative modes of the heatbath also serve as input channels through which the system is driven, and as output channels which allow the continuous observation of the radiated fields. Examples of quantum optical systems are resonance fluorescence, where a radiatively damped atom is driven by laser light (input) and the properties of the emitted fluorescence light (output)are measured, and an optical cavity mode coupled to the outside radiation modes by a partially transmitting mirror. -
Quantum Computation and Complexity Theory
Quantum computation and complexity theory Course given at the Institut fÈurInformationssysteme, Abteilung fÈurDatenbanken und Expertensysteme, University of Technology Vienna, Wintersemester 1994/95 K. Svozil Institut fÈur Theoretische Physik University of Technology Vienna Wiedner Hauptstraûe 8-10/136 A-1040 Vienna, Austria e-mail: [email protected] December 5, 1994 qct.tex Abstract The Hilbert space formalism of quantum mechanics is reviewed with emphasis on applicationsto quantum computing. Standardinterferomeric techniques are used to construct a physical device capable of universal quantum computation. Some consequences for recursion theory and complexity theory are discussed. hep-th/9412047 06 Dec 94 1 Contents 1 The Quantum of action 3 2 Quantum mechanics for the computer scientist 7 2.1 Hilbert space quantum mechanics ..................... 7 2.2 From single to multiple quanta Ð ªsecondº ®eld quantization ...... 15 2.3 Quantum interference ............................ 17 2.4 Hilbert lattices and quantum logic ..................... 22 2.5 Partial algebras ............................... 24 3 Quantum information theory 25 3.1 Information is physical ........................... 25 3.2 Copying and cloning of qbits ........................ 25 3.3 Context dependence of qbits ........................ 26 3.4 Classical versus quantum tautologies .................... 27 4 Elements of quantum computatability and complexity theory 28 4.1 Universal quantum computers ....................... 30 4.2 Universal quantum networks ........................ 31 4.3 Quantum recursion theory ......................... 35 4.4 Factoring .................................. 36 4.5 Travelling salesman ............................. 36 4.6 Will the strong Church-Turing thesis survive? ............... 37 Appendix 39 A Hilbert space 39 B Fundamental constants of physics and their relations 42 B.1 Fundamental constants of physics ..................... 42 B.2 Conversion tables .............................. 43 B.3 Electromagnetic radiation and other wave phenomena ......... -
Sabine Hossenfelder on “The Case Against Beauty in Physics” Julia
Rationally Speaking #211: Sabine Hossenfelder on “The case against beauty in physics” Julia: Welcome to Rationally Speaking, the podcast where we explore the borderlands between reason and nonsense. I'm your host, Julia Galef, and I'm here with today's guest, Sabine Hossenfelder. Sabine is a theoretical physicist, focusing on quantum gravity. She's a research fellow at the Frankfurt Institute for Advanced Studies, and blogs at Back Reaction. She just published the book, "Lost in Math: How Beauty Leads Physics Astray." "Lost in Math” argues that physicists, in at least certain sub-fields, evaluate theories based heavily on aesthetics, like is this theory beautiful? Instead of simply, what does the evidence suggest is true? The book is full of interviews Sabine did with top physicists, where she tries to ask them: what's the justification for this? Why should we expect beauty to be a good guide to truth? And, spoiler alert, ultimately, she comes away rather unsatisfied with the answers. So, we're going to talk about "Lost in Math" and the case for and against beauty in physics. Sabine, welcome to the show. Sabine: Hello. Julia: So, probably best to start with: what do you mean by beauty, in this context? And is it closer to a kind of “beauty is in the eye of the beholder” thing, like, every physicist has their own sort of aesthetic sense? Or is more like there's a consensus among physicists about what constitutes a beautiful theory? Sabine: Interestingly enough, there's mostly consensus about it. Let me put ahead that I will not try to tell anyone what beauty means, I am just trying to summarize what physicists seem to mean when they speak of beauty, when they say “that theory is beautiful.” There are several ingredients to this sense of beauty. -
Testing the Quantum-Classical Boundary and Dimensionality of Quantum Systems
Testing the Quantum-Classical Boundary and Dimensionality of Quantum Systems Poh Hou Shun Centre for Quantum Technologies National University of Singapore This dissertation is submitted for the degree of Doctor of Philosophy September 2015 Acknowledgements No journey of scientific discovery is ever truly taken alone. Every step along the way, we encounter people who are a great source of encouragement, guidance, inspiration, joy, and support to us. The journey I have embarked upon during the course of this project is no exception. I would like to extend my gratitude to my project partner on many occasion during the past 5 years, Ng Tien Tjeun. His humorous take on various matters ensures that there is never a dull moment in any late night lab work. A resounding shout-out to the ‘elite’ mem- bers of 0205 (our office), Tan Peng Kian, Shi Yicheng, and Victor Javier Huarcaya Azanon for their numerous discourses into everything under the sun, some which are possibly work related. Thank for tolerating my borderline hoarding behavior and the frequently malfunc- tioning door? I would like to thank Alessandro Ceré for his invaluable inputs on the many pesky problems that I had with data processing. Thanks for introducing me to world of Python programming. Now there is something better than Matlab? A big thanks also goes out to all of my other fellow researchers and colleagues both in the Quantum Optics group and in CQT. They are a source of great inspiration, support, and joy during my time in the group. Special thanks to my supervisor, Christian Kurtsiefer for his constant guidance on and off the project over the years. -
A Critic Looks at Qbism Guido Bacciagaluppi
A Critic Looks at QBism Guido Bacciagaluppi To cite this version: Guido Bacciagaluppi. A Critic Looks at QBism. 2013. halshs-00996289 HAL Id: halshs-00996289 https://halshs.archives-ouvertes.fr/halshs-00996289 Preprint submitted on 26 May 2014 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. A Critic Looks at QBism Guido Bacciagaluppi∗ 30 April 2013 Abstract This chapter comments on that by Chris Fuchs on qBism. It presents some mild criticisms of this view, some based on the EPR and Wigner’s friend scenarios, and some based on the quantum theory of measurement. A few alternative suggestions for implementing a sub- jectivist interpretation of probability in quantum mechanics conclude the chapter. “M. Braque est un jeune homme fort audacieux. [...] Il m´eprise la forme, r´eduit tout, sites et figures et maisons, `ades sch´emas g´eom´etriques, `ades cubes. Ne le raillons point, puisqu’il est de bonne foi. Et attendons.”1 Thus commented the French art critic Louis Vauxcelles on Braque’s first one- man show in November 1908, thereby giving cubism its name. Substituting spheres and tetrahedra for cubes might be more appropriate if one wishes to apply the characterisation to qBism — the view of quantum mechanics and the quantum state developed by Chris Fuchs and co-workers (for a general reference see either the paper in this volume, or Fuchs (2010)). -
Quantum Memories for Continuous Variable States of Light in Atomic Ensembles
Quantum Memories for Continuous Variable States of Light in Atomic Ensembles Gabriel H´etet A thesis submitted for the degree of Doctor of Philosophy at The Australian National University October, 2008 ii Declaration This thesis is an account of research undertaken between March 2005 and June 2008 at the Department of Physics, Faculty of Science, Australian National University (ANU), Can- berra, Australia. This research was supervised by Prof. Ping Koy Lam (ANU), Prof. Hans- Albert Bachor (ANU), Dr. Ben Buchler (ANU) and Dr. Joseph Hope (ANU). Unless otherwise indicated, the work present herein is my own. None of the work presented here has ever been submitted for any degree at this or any other institution of learning. Gabriel H´etet October 2008 iii iv Acknowledgments I would naturally like to start by thanking my principal supervisors. Ping Koy Lam is the person I owe the most. I really appreciated his approachability, tolerance, intuition, knowledge, enthusiasm and many other qualities that made these three years at the ANU a great time. Hans Bachor, for helping making this PhD in Canberra possible and giving me the opportunity to work in this dynamic research environment. I always enjoyed his friendliness and general views and interpretations of physics. Thanks also to both of you for the opportunity you gave me to travel and present my work to international conferences. This thesis has been a rich experience thanks to my other two supervisors : Joseph Hope and Ben Buchler. I would like to thank Joe for invaluable help on the theory and computer side and Ben for the efficient moments he spent improving the set-up and other innumerable tips that polished up the work presented here, including proof reading this thesis.