Rethinking Superdeterminism
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Accommodating Retrocausality with Free Will Yakir Aharonov Chapman University, [email protected]
Chapman University Chapman University Digital Commons Mathematics, Physics, and Computer Science Science and Technology Faculty Articles and Faculty Articles and Research Research 2016 Accommodating Retrocausality with Free Will Yakir Aharonov Chapman University, [email protected] Eliahu Cohen Tel Aviv University Tomer Shushi University of Haifa Follow this and additional works at: http://digitalcommons.chapman.edu/scs_articles Part of the Quantum Physics Commons Recommended Citation Aharonov, Y., Cohen, E., & Shushi, T. (2016). Accommodating Retrocausality with Free Will. Quanta, 5(1), 53-60. doi:http://dx.doi.org/10.12743/quanta.v5i1.44 This Article is brought to you for free and open access by the Science and Technology Faculty Articles and Research at Chapman University Digital Commons. It has been accepted for inclusion in Mathematics, Physics, and Computer Science Faculty Articles and Research by an authorized administrator of Chapman University Digital Commons. For more information, please contact [email protected]. Accommodating Retrocausality with Free Will Comments This article was originally published in Quanta, volume 5, issue 1, in 2016. DOI: 10.12743/quanta.v5i1.44 Creative Commons License This work is licensed under a Creative Commons Attribution 3.0 License. This article is available at Chapman University Digital Commons: http://digitalcommons.chapman.edu/scs_articles/334 Accommodating Retrocausality with Free Will Yakir Aharonov 1;2, Eliahu Cohen 1;3 & Tomer Shushi 4 1 School of Physics and Astronomy, Tel Aviv University, Tel Aviv, Israel. E-mail: [email protected] 2 Schmid College of Science, Chapman University, Orange, California, USA. E-mail: [email protected] 3 H. H. Wills Physics Laboratory, University of Bristol, Bristol, UK. -
Arxiv:1206.1084V3 [Quant-Ph] 3 May 2019
Overview of Bohmian Mechanics Xavier Oriolsa and Jordi Mompartb∗ aDepartament d'Enginyeria Electr`onica, Universitat Aut`onomade Barcelona, 08193, Bellaterra, SPAIN bDepartament de F´ısica, Universitat Aut`onomade Barcelona, 08193 Bellaterra, SPAIN This chapter provides a fully comprehensive overview of the Bohmian formulation of quantum phenomena. It starts with a historical review of the difficulties found by Louis de Broglie, David Bohm and John Bell to convince the scientific community about the validity and utility of Bohmian mechanics. Then, a formal explanation of Bohmian mechanics for non-relativistic single-particle quantum systems is presented. The generalization to many-particle systems, where correlations play an important role, is also explained. After that, the measurement process in Bohmian mechanics is discussed. It is emphasized that Bohmian mechanics exactly reproduces the mean value and temporal and spatial correlations obtained from the standard, i.e., `orthodox', formulation. The ontological characteristics of the Bohmian theory provide a description of measurements in a natural way, without the need of introducing stochastic operators for the wavefunction collapse. Several solved problems are presented at the end of the chapter giving additional mathematical support to some particular issues. A detailed description of computational algorithms to obtain Bohmian trajectories from the numerical solution of the Schr¨odingeror the Hamilton{Jacobi equations are presented in an appendix. The motivation of this chapter is twofold. -
Bell's Theorem and Its Tests
PHYSICS ESSAYS 33, 2 (2020) Bell’s theorem and its tests: Proof that nature is superdeterministic—Not random Johan Hanssona) Division of Physics, Lulea˚ University of Technology, SE-971 87 Lulea˚, Sweden (Received 9 March 2020; accepted 7 May 2020; published online 22 May 2020) Abstract: By analyzing the same Bell experiment in different reference frames, we show that nature at its fundamental level is superdeterministic, not random, in contrast to what is indicated by orthodox quantum mechanics. Events—including the results of quantum mechanical measurements—in global space-time are fixed prior to measurement. VC 2020 Physics Essays Publication. [http://dx.doi.org/10.4006/0836-1398-33.2.216] Resume: En analysant l’experience de Bell dans d’autres cadres de reference, nous demontrons que la nature est super deterministe au niveau fondamental et non pas aleatoire, contrairement ace que predit la mecanique quantique. Des evenements, incluant les resultats des mesures mecaniques quantiques, dans un espace-temps global sont fixes avant la mesure. Key words: Quantum Nonlocality; Bell’s Theorem; Quantum Measurement. Bell’s theorem1 is not merely a statement about quantum Registered outcomes at either side, however, are classi- mechanics but about nature itself, and will survive even if cal objective events (for example, a sequence of zeros and quantum mechanics is superseded by an even more funda- ones representing spin up or down along some chosen mental theory in the future. Although Bell used aspects of direction), e.g., markings on a paper printout ¼ classical quantum theory in his original proof, the same results can be facts ¼ events ¼ points defining (constituting) global space- obtained without doing so.2,3 The many experimental tests of time itself. -
A Non-Technical Explanation of the Bell Inequality Eliminated by EPR Analysis Eliminated by Bell A
Ghostly action at a distance: a non-technical explanation of the Bell inequality Mark G. Alford Physics Department, Washington University, Saint Louis, MO 63130, USA (Dated: 16 Jan 2016) We give a simple non-mathematical explanation of Bell's inequality. Using the inequality, we show how the results of Einstein-Podolsky-Rosen (EPR) experiments violate the principle of strong locality, also known as local causality. This indicates, given some reasonable-sounding assumptions, that some sort of faster-than-light influence is present in nature. We discuss the implications, emphasizing the relationship between EPR and the Principle of Relativity, the distinction between causal influences and signals, and the tension between EPR and determinism. I. INTRODUCTION II. OVERVIEW To make it clear how EPR experiments falsify the prin- The recent announcement of a \loophole-free" observa- ciple of strong locality, we now give an overview of the tion of violation of the Bell inequality [1] has brought re- logical context (Fig. 1). For pedagogical purposes it is newed attention to the Einstein-Podolsky-Rosen (EPR) natural to present the analysis of the experimental re- family of experiments in which such violation is observed. sults in two stages, which we will call the \EPR analy- The violation of the Bell inequality is often described as sis", and the \Bell analysis" although historically they falsifying the combination of \locality" and \realism". were not presented in exactly this form [4, 5]; indeed, However, we will follow the approach of other authors both stages are combined in Bell's 1976 paper [2]. including Bell [2{4] who emphasize that the EPR results We will concentrate on Bohm's variant of EPR, the violate a single principle, strong locality. -
Optomechanical Bell Test
Delft University of Technology Optomechanical Bell Test Marinković, Igor; Wallucks, Andreas; Riedinger, Ralf; Hong, Sungkun; Aspelmeyer, Markus; Gröblacher, Simon DOI 10.1103/PhysRevLett.121.220404 Publication date 2018 Document Version Final published version Published in Physical Review Letters Citation (APA) Marinković, I., Wallucks, A., Riedinger, R., Hong, S., Aspelmeyer, M., & Gröblacher, S. (2018). Optomechanical Bell Test. Physical Review Letters, 121(22), [220404]. https://doi.org/10.1103/PhysRevLett.121.220404 Important note To cite this publication, please use the final published version (if applicable). Please check the document version above. Copyright Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons. Takedown policy Please contact us and provide details if you believe this document breaches copyrights. We will remove access to the work immediately and investigate your claim. This work is downloaded from Delft University of Technology. For technical reasons the number of authors shown on this cover page is limited to a maximum of 10. PHYSICAL REVIEW LETTERS 121, 220404 (2018) Editors' Suggestion Featured in Physics Optomechanical Bell Test † Igor Marinković,1,* Andreas Wallucks,1,* Ralf Riedinger,2 Sungkun Hong,2 Markus Aspelmeyer,2 and Simon Gröblacher1, 1Department of Quantum Nanoscience, Kavli Institute of Nanoscience, Delft University of Technology, 2628CJ Delft, Netherlands 2Vienna Center for Quantum Science and Technology (VCQ), Faculty of Physics, University of Vienna, A-1090 Vienna, Austria (Received 18 June 2018; published 29 November 2018) Over the past few decades, experimental tests of Bell-type inequalities have been at the forefront of understanding quantum mechanics and its implications. -
A Practical Phase Gate for Producing Bell Violations in Majorana Wires
PHYSICAL REVIEW X 6, 021005 (2016) A Practical Phase Gate for Producing Bell Violations in Majorana Wires David J. Clarke, Jay D. Sau, and Sankar Das Sarma Department of Physics, Condensed Matter Theory Center, University of Maryland, College Park, Maryland 20742, USA and Joint Quantum Institute, University of Maryland, College Park, Maryland 20742, USA (Received 9 October 2015; published 8 April 2016) Carrying out fault-tolerant topological quantum computation using non-Abelian anyons (e.g., Majorana zero modes) is currently an important goal of worldwide experimental efforts. However, the Gottesman- Knill theorem [1] holds that if a system can only perform a certain subset of available quantum operations (i.e., operations from the Clifford group) in addition to the preparation and detection of qubit states in the computational basis, then that system is insufficient for universal quantum computation. Indeed, any measurement results in such a system could be reproduced within a local hidden variable theory, so there is no need for a quantum-mechanical explanation and therefore no possibility of quantum speedup [2]. Unfortunately, Clifford operations are precisely the ones available through braiding and measurement in systems supporting non-Abelian Majorana zero modes, which are otherwise an excellent candidate for topologically protected quantum computation. In order to move beyond the classically simulable subspace, an additional phase gate is required. This phase gate allows the system to violate the Bell-like Clauser- Horne-Shimony-Holt (CHSH) inequality that would constrain a local hidden variable theory. In this article, we introduce a new type of phase gate for the already-existing semiconductor-based Majorana wire systems and demonstrate how this phase gate may be benchmarked using CHSH measurements. -
Bell's Inequality Tests Via Correlated Diffraction of High-Dimensional
www.nature.com/scientificreports OPEN Bell’s inequality tests via correlated difraction of high-dimensional position-entangled two-photon Received: 11 September 2017 Accepted: 8 March 2018 states Published: xx xx xxxx Wei Li1,3 & Shengmei Zhao1,2 Bell inequality testing, a well-established method to demonstrate quantum non-locality between remote two-partite entangled systems, is playing an important role in the feld of quantum information. The extension to high-dimensional entangled systems, using the so-called Bell-CGLMP inequality, points the way in measuring joint probabilities, the kernel block to construct high dimensional Bell inequalities. Here we show that in theory the joint probability of a two-partite system entangled in a Hilbert space can be measured by choosing a set of basis vectors in its dual space that are related by a Fourier transformation. We next propose an experimental scheme to generate a high-dimensional position-entangled two-photon state aided by a combination of a multiple-slit and a 4 f system, and describe a method to test Bell’s inequality using correlated difraction. Finally, we discuss in detail consequences of such Bell-test violations and experimental requirements. Entanglement, the superposition of multi-particle product states, is one of the most fascinating properties of quantum mechanics1,2. Not only has it enriched our knowledge of fundamental physics, it has also been applied with success in the transmission of quantum information. To date, theoretical research and practical applica- tions have both mainly focused on two-photon polarization entanglement3–7 as two-dimensional entanglement (2D) is easy to generate and modulate. -
Testing Superdeterministic Conspiracy Found
Testing Superdeterministic Conspiracy Found. Phys. 41:1521-1531 (2011), arXiv:1105.4326 [quant-ph] Sabine Hossenfelder Nordita What is Superdeterminism? • No free will: Not possible to chose detector settings independent of prepared state. • “Conspiracy” theories: misleading expression. • Really: Nonlocal correlations necessary, but • Not necessarily spooky at a distance. • Hidden variables, yes, but not necessarily realist. Nonlocality “A theory will be said to be locally causal if the probabilities attached to values of local beables in a space-time region 1 are unaltered by specification of values of local beables in a space-like separated region 2, when what happens in the backward light cone of 1 is already sufficiently specified, for example by a full specification of local beables in a space-time region 3…” ~ J. S. Bell Why Superdeterminism? • Because I like it. • Because it’s possible and hasn’t been ruled out since Bell’s theorem can’t be used. • Logically: Can never be ruled out, but certain models can be ruled out. • Try to be as model-independent as possible. What kind of Superdeterminism? • Assume: Hidden variables come from environment. • Assume: dofs beyond experiment’s scale decouple. • Assume: Born rule fulfilled. • No assumptions about collapse or likewise. How to test Superdeterminism? • Main difference to standard QM: The same initial state will lead to the same outcome. No indeterminism. • But “the same state” now means “the same hidden variables”. So we don’t know how to prepare the “same” state twice. • Avoid problem by repeating measurements on one state. Use non-commuting variables. Testing Superdeterminism • Repeatedly measure non-commuting variables on one state. -
Simulation of the Bell Inequality Violation Based on Quantum Steering Concept Mohsen Ruzbehani
www.nature.com/scientificreports OPEN Simulation of the Bell inequality violation based on quantum steering concept Mohsen Ruzbehani Violation of Bell’s inequality in experiments shows that predictions of local realistic models disagree with those of quantum mechanics. However, despite the quantum mechanics formalism, there are debates on how does it happen in nature. In this paper by use of a model of polarizers that obeys the Malus’ law and quantum steering concept, i.e. superluminal infuence of the states of entangled pairs to each other, simulation of phenomena is presented. The given model, as it is intended to be, is extremely simple without using mathematical formalism of quantum mechanics. However, the result completely agrees with prediction of quantum mechanics. Although it may seem trivial, this model can be applied to simulate the behavior of other not easy to analytically evaluate efects, such as defciency of detectors and polarizers, diferent value of photons in each run and so on. For example, it is demonstrated, when detector efciency is 83% the S factor of CHSH inequality will be 2, which completely agrees with famous detector efciency limit calculated analytically. Also, it is shown in one-channel polarizers the polarization of absorbed photons, should change to the perpendicular of polarizer angle, at very end, to have perfect violation of the Bell inequality (2 √2 ) otherwise maximum violation will be limited to (1.5 √2). More than a half-century afer celebrated Bell inequality 1, nonlocality is almost totally accepted concept which has been proved by numerous experiments. Although there is no doubt about validity of the mathematical model proposed by Bell to examine the principle of the locality, it is comprehended that Bell’s inequality in its original form is not testable. -
Final Copy 2020 11 26 Stylia
This electronic thesis or dissertation has been downloaded from Explore Bristol Research, http://research-information.bristol.ac.uk Author: Stylianou, Nicos Title: On 'Probability' A Case of Down to Earth Humean Propensities General rights Access to the thesis is subject to the Creative Commons Attribution - NonCommercial-No Derivatives 4.0 International Public License. A copy of this may be found at https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode This license sets out your rights and the restrictions that apply to your access to the thesis so it is important you read this before proceeding. Take down policy Some pages of this thesis may have been removed for copyright restrictions prior to having it been deposited in Explore Bristol Research. However, if you have discovered material within the thesis that you consider to be unlawful e.g. breaches of copyright (either yours or that of a third party) or any other law, including but not limited to those relating to patent, trademark, confidentiality, data protection, obscenity, defamation, libel, then please contact [email protected] and include the following information in your message: •Your contact details •Bibliographic details for the item, including a URL •An outline nature of the complaint Your claim will be investigated and, where appropriate, the item in question will be removed from public view as soon as possible. On ‘Probability’ A Case of Down to Earth Humean Propensities By NICOS STYLIANOU Department of Philosophy UNIVERSITY OF BRISTOL A dissertation submitted to the University of Bristol in ac- cordance with the requirements of the degree of DOCTOR OF PHILOSOPHY in the Faculty of Arts. -
Sabine Hossenfelder Superdeterminism
The Forgotten Solution Sabine Hossenfelder Superdeterminism This is a talk about the foundations of quantum mechanics, not about interpretations of quantum mechanics. For details and references, see: SH, Tim N. Palmer “Rethinking Superdeterminism,” arXiv:1912.06462 [quant-ph] Quantum Mechanics is Incomplete Quantum mechanics is arguably a successful theory but it cannot be how nature fundamentally works. Not because it is unintuitive or ugly, but because it is axiomatically inconsistent. Quantum mechanics uses two equations as dynamical law. The Schrödinger equation and the measurement update (the “collapse” of the wave-function). This leads to the measurement problem. The Measurement Problem Quantum mechanics is not an ensemble theory. It is a theory for individual particles. But a particle that is 50% measured is not a thing. This means the update of the wave-function is necessary to describe what we observe. Decoherence does not solve the problem. The Measurement Problem (cont’d) The measurement process in quantum mechanics is not linear. This means it is incompatible with the Schrödinger equation. It cannot be derived from it. But if quantum mechanics was a fundamental theory, the measurement postulate should be unnecessary. The behavior of macroscopic objects like detectors should be derivable. (This, or one has to give up reductionism for which there isn’t even a theory.) The Measurement Problem is Unsolved ! (Neo-)Copenhagen approaches bring back the problem in new clothes by referring to terms like “knowledge” held by “agents”. ! Many Worlds requires a postulate equivalent to the measurement postulate. No improvement. ! Collapse models solve the problem only after specifying what state to collapse into. -
The End of a Classical Ontology for Quantum Mechanics?
entropy Article The End of a Classical Ontology for Quantum Mechanics? Peter W. Evans School of Historical and Philosophical Inquiry, University of Queensland, St Lucia, QLD 4072, Australia; [email protected] Abstract: In this paper, I argue that the Shrapnel–Costa no-go theorem undermines the last remaining viability of the view that the fundamental ontology of quantum mechanics is essentially classical: that is, the view that physical reality is underpinned by objectively real, counterfactually definite, uniquely spatiotemporally defined, local, dynamical entities with determinate valued properties, and where typically ‘quantum’ behaviour emerges as a function of our own in-principle ignorance of such entities. Call this view Einstein–Bell realism. One can show that the causally symmetric local hidden variable approach to interpreting quantum theory is the most natural interpretation that follows from Einstein–Bell realism, where causal symmetry plays a significant role in circumventing the nonclassical consequences of the traditional no-go theorems. However, Shrapnel and Costa argue that exotic causal structures, such as causal symmetry, are incapable of explaining quantum behaviour as arising as a result of noncontextual ontological properties of the world. This is partic- ularly worrying for Einstein–Bell realism and classical ontology. In the first instance, the obvious consequence of the theorem is a straightforward rejection of Einstein–Bell realism. However, more than this, I argue that, even where there looks to be a possibility of accounting for contextual ontic variables within a causally symmetric framework, the cost of such an account undermines a key advantage of causal symmetry: that accepting causal symmetry is more economical than rejecting a classical ontology.