Timeline: Bohm (1951) EPR (1935) CHSH (1969) Bell (1964) Theory. Freedman Clauser (1972) Aspect (1982) Weihs (1998) Weinland (2001) Zeilinger (2010)
|
|
- Erik Parrish
- 6 years ago
- Views:
Transcription
1 1.EPR paradox 2.Bohm s version of EPR with spin ½ particles 3.Entangled states and production 4.Derivation of CHSH inequality - S parameter for mixed and entangled state 5. Loopholes 6.Experiments confirming Quantum Mechanics Timeline: Theory EPR (1935) Bohm (1951) Bell (1964) CHSH (1969) Experiment Freedman Clauser (1972) Aspect (1982) Weihs (1998) Weinland (2001) Zeilinger (2010)
2 EPR The quest for completeness In an article (1935), Einstein- Podolsky-Rosen questioned the completeness of quantum mechanics. Bohm s EPR: System of 2 spatially separated entangled spin ½ particles
3 P a,, X a P b,, X b If, without in any way disturbing a system, we can predict with certainty (i.e., with probability equal to unity) the value of a physical quantity, then there exists an element of physical reality corresponding to this physical quantity. Not so in Quantum Mechanics. Cannot always measure two observables simultaneously. Conlusion of EPR: Quantum Mechanics is incomplete.
4
5 Entanglement The characteristic trait of QM, the one that enforces its entire departure from the classical line of thought The best possible knowledge of the whole does not include the best possible knowledge of its part Schrödinger Naturwissenschaften 23, 807 (1935)
6 Hidden variables? Postulating hidden variables would restore realism and locality
7 Realism The measurement results are determined by properties the particles carry prior to and independent of observation. World passive observer
8 Locality The results obtained at one location are independent of any actions performed at space-like separation. J.S. Bell, On the Einstein-Podolsky- Rosen Paradox, Physics1, pp , 1964
9 EPR-Bohm Singlet state Ψ = 1 2 ( a b a b ) Combined system: spin 0 Decay into 2 particles of spin ½ Particles cease to interact after decay, total spin of system remains 0. predicts opposite results for the measurement of the same components of the spin of two particles
10 Since particles no longer interact, the properties of one particle appear to be affected by operations on the other, influence that propagates faster than c.
11 Bertlmann s socks! EPR discussion does not impress if one considers classical systems correlated in some ways Many examples of classical correlations in everyday life
12 Bertlmann always wears socks of different colours One cannot predict with certainty which colours will show up on a particular day. Bertlmann s socks! Observation of one sock gives information on the other J.S. Bell (1981)
13 Such correlations are easy to accept: There are REAL ATTRIBUTES (e.g. colour) in advance, which predetermine the outcome of a particular observation.. No communication between the socks!
14 Entanglement of pure states Composite quantum system ψ system = ψ i, j Separable state α system Entangled state ij i = A j B ψ A i j 2 a 1, i, j = ψ B ψ ψ 2 A H A 2 B H B ψ system ψ A ψ B
15 Experimental Bell Tests Clauser PRL 36, 1223 (1976) Fry & Thompson PRL 37, 465 (1976) Aspect et al., PRL 47, 460(1981) Perrie et al., PRL 54, 1790 (1985) PRL 28, 938 (1972) Approx. 0.1 events per second (1 nm bandwidth)
16 Possible Loopholes Detection-efficiency loophole (η > 85 %) Einstein-Locality loophole Random-settings loophole (free-variables/free-will criterion)
17 Closing loopholes I Locality loophole [Aspect et al., PRL 49, 1804 (1982)]
18 Closing loopholes II Locality and randomness loophole [Weihs et al., PRL 81, 5039 (1998)] Separation 400m, so that individual measurements are faster than 1.3 µs (space-like seperated) Actually done in 100ns Fast modulators switching Fed by physical random number generator (500 MHz) Violation Bell S=2.73±0.02
19 Closing loopholes III Detection loophole [Rowe et al., Nature 409, 791 (2001)] 9 Be + -Ions Nature 409, 774 (2001)
20 Closing loopholes IV Free will loophole [Scheidl et al., PNAS, (2010)]
21 Closing loopholes IV Space like separation of settings and creation of entanglement
22 Space Quest Objectives of an accommodation of a QCT: One clear vision of the science community is to establish a worldwide network for quantum communication - a task that can only be realized by tackling the additional challenge of bringing concepts and technologies of quantum physics to space. First steps: Accommodation of a quantum communication optical transmitter module on a satellite. Distribution of - faint laser pulses - single photons - entangled photon pairs Space-QUEST Vision: Quantum satellite network 22
23 Spontaneous Parametric Down Conversion (SPDC) with nonlinear crystals P i (1) (2) (3) = χij E j + χijk E jek + χijkl E jek El +K Non-linearity Non-linear optical χ (2) process (BBO, LNB, KTP) Spontaneous decay of a pump photon via momentum- and energy-conservation Strong time-correlation of emerging pair (depends on pump bandwidth and coherence length of downconverted photons)
24 Phase matching condition Simply conservation of energy and momentum! r r r ω + pump = ωsignal ωidler kpump = ksignal + kidler Not so simple in practice: crystals are birefringent media (BBO, LNB, KTP, ) Refractive index depends on: frequency, polarisation and propagation direction k r r ω = n( ω, p, s) c Phase matching is only fullfilled for a certain direction and polarisation at given frequency
25 Entanglement Sources Type II Type II: signal and idler are orthogonal polarised UVpump Signal (vertical) BBO crystal Idler (horizontal) Kwiat et al, PRL 75, 4337 (1995)
26 Typical setup Focusing optics nonlinear crystal UV Laser diode ~20 mw 405 nm Compensation Filter and fiber optics couplers
27 Entanglement Type I: signal, idler have same polarisation Need two crystals, rotated by 90 Pairs polarised in H and V Entanglement: photon pairs need to be indistinguishable H V H 810 H e iθ V 810 V 1550 No information in which crystal it was produced Simple, but longitudinal walk-off (chromatic dispersion)
28 Setups
Violation of Bell Inequalities
Violation of Bell Inequalities Philipp Kurpiers and Anna Stockklauser 5/12/2011 Quantum Systems for Information Technology Einstein-Podolsky-Rosen paradox (1935) Goal: prove that quantum mechanics is incomplete
More informationTake that, Bell s Inequality!
Take that, Bell s Inequality! Scott Barker November 10, 2011 Abstract Bell s inequality was tested using the CHSH method. Entangled photons were produced from two different laser beams by passing light
More informationLaboratory 1: Entanglement & Bell s Inequalities
Laboratory 1: Entanglement & Bell s Inequalities Jose Alejandro Graniel Institute of Optics University of Rochester, Rochester, NY 14627, U.S.A Abstract This experiment purpose was to study the violation
More informationExperiment 6 - Tests of Bell s Inequality
Exp.6-Bell-Page 1 Experiment 6 - Tests of Bell s Inequality References: Entangled photon apparatus for the undergraduate laboratory, and Entangled photons, nonlocality, and Bell inequalities in the undergraduate
More informationEntanglement. arnoldzwicky.org. Presented by: Joseph Chapman. Created by: Gina Lorenz with adapted PHYS403 content from Paul Kwiat, Brad Christensen
Entanglement arnoldzwicky.org Presented by: Joseph Chapman. Created by: Gina Lorenz with adapted PHYS403 content from Paul Kwiat, Brad Christensen PHYS403, July 26, 2017 Entanglement A quantum object can
More informationEinstein-Podolsky-Rosen paradox and Bell s inequalities
Einstein-Podolsky-Rosen paradox and Bell s inequalities Jan Schütz November 27, 2005 Abstract Considering the Gedankenexperiment of Einstein, Podolsky, and Rosen as example the nonlocal character of quantum
More informationErwin Schrödinger and his cat
Erwin Schrödinger and his cat How to relate discrete energy levels with Hamiltonian described in terms of continгous coordinate x and momentum p? Erwin Schrödinger (887-96) Acoustics: set of frequencies
More information1 Introduction Why energy-time and time-bin entanglement? Aim of this work... 4
2 Contents 1 Introduction 1 1.1 Why energy-time and time-bin entanglement?............... 2 1.2 Aim of this work............................... 4 2 Theoretical Background 7 2.1 Entanglement and Bell inequalities.....................
More informationLab. 1: Entanglement and Bell s Inequalities. Abstract
December 15, 2008 Submitted for the partial fulfilment of the course PHY 434 Lab. 1: Entanglement and Bell s Inequalities Mayukh Lahiri 1, 1 Department of Physics and Astronomy, University of Rochester,
More informationQuantum Entanglement and Bell s Inequalities Zachary Evans, Joel Howard, Jahnavi Iyer, Ava Dong, and Maggie Han
Quantum Entanglement and Bell s Inequalities Zachary Evans, Joel Howard, Jahnavi Iyer, Ava Dong, and Maggie Han Institute of Optics, University of Rochester Opt 101 Meeting, December 4, 2012, Rochester
More information- Presentation - Quantum and Nano-Optics Laboratory. Fall 2012 University of Rochester Instructor: Dr. Lukishova. Joshua A. Rose
- Presentation - Quantum and Nano-Optics Laboratory Fall 2012 University of Rochester Instructor: Dr. Lukishova Joshua A. Rose Contents Laboratory 1: Entanglement and Bell s Inequalities Laboratory 2:
More informationEntanglement and Bell s Inequalities Edward Pei. Abstract
Entanglement and Bell s Inequalities Edward Pei Abstract The purpose of this laboratory experiment is to verify quantum entanglement of the polarization of two photon pairs. The entanglement of the photon
More informationContextuality and the Kochen-Specker Theorem. Interpretations of Quantum Mechanics
Contextuality and the Kochen-Specker Theorem Interpretations of Quantum Mechanics by Christoph Saulder 19. 12. 2007 Interpretations of quantum mechanics Copenhagen interpretation the wavefunction has no
More informationA history of entanglement
A history of entanglement Jos Uffink Philosophy Department, University of Minnesota, jbuffink@umn.edu May 17, 2013 Basic mathematics for entanglement of pure states Let a compound system consists of two
More informationQuantum mechanics and reality
Quantum mechanics and reality Margaret Reid Centre for Atom Optics and Ultrafast Spectroscopy Swinburne University of Technology Melbourne, Australia Thank you! Outline Non-locality, reality and quantum
More informationD. Bouwmeester et. al. Nature (1997) Joep Jongen. 21th june 2007
al D. Bouwmeester et. al. Nature 390 575 (1997) Universiteit Utrecht 1th june 007 Outline 1 3 4 5 EPR Paradox 1935: Einstein, Podolsky & Rosen Decay of a π meson: π 0 e + e + Entangled state: ψ = 1 ( +
More informationQuantum Entanglement, Beyond Quantum Mechanics, and Why Quantum Mechanics
Quantum Entanglement, Beyond Quantum Mechanics, and Why Quantum Mechanics Brad Christensen Advisor: Paul G. Kwiat Physics 403 talk: July 28, 2014 Entanglement is a feature of compound quantum systems States
More informationPHYSICAL REVIEW LETTERS
PHYSICAL REVIEW LETTERS VOLUME 81 7 DECEMBER 1998 NUMBER 23 Violation of Bell s Inequality under Strict Einstein Locality Conditions Gregor Weihs, Thomas Jennewein, Christoph Simon, Harald Weinfurter,
More informationTesting Quantum Mechanics and Bell's Inequality with Astronomical Observations
Testing Quantum Mechanics and Bell's Inequality with Astronomical Observations Dr. Andrew Friedman NSF Research Associate, Visiting Research Scientist MIT Center for Theoretical Physics http://web.mit.edu/asf/www/
More informationEPR correlations, Bell s theorem, and entanglement at a distance: the naive view of an experimentalist
EPR correlations, Bell s theorem, and entanglement at a distance: the naive view of an experimentalist KITP, May 19, 004 Alain Aspect Laboratoire Charles Fabry de l Institut d Optique http://atomoptic.iota.u-psud.fr
More informationPHY3902 PHY3904. Photon Entanglement. Laboratory protocol
HY390 HY390 hoton ntanglement Laboratory protocol Goals. Learn how to create and detect pairs of photons entangled in polarization.. Test the lauser Horne Shimony and Holt version of the Bell inequality
More informationarxiv:quant-ph/ v1 5 Aug 2004
1 Generation of polarization entangled photon pairs and violation of Bell s inequality using spontaneous four-wave mixing in fiber loop Hiroki Takesue and Kyo Inoue arxiv:quant-ph/0408032v1 5 Aug 2004
More informationCollapse versus correlations, EPR, Bell Inequalities, Cloning
Collapse versus correlations, EPR, Bell Inequalities, Cloning The Quantum Eraser, continued Equivalence of the collapse picture and just blithely/blindly calculating correlations EPR & Bell No cloning
More informationCharacterization of a Polarisation Based Entangled Photon Source
The African Review of Physics (04) 9:009 7 Characterization of a Polarisation Based Entangled Photon Source Y. Ismail,*, A. R. Mirza,, A. Forbes,3 and F. Petruccione,,4 University of KwaZulu-Natal, Durban
More informationGENERATION OF POLARIZATION ENTANGLED PHOTON PAIRS IN AlGaAs BRAGG REFLECTION WAVEGUIDES
MSc in Photonics Universitat Politècnica de Catalunya (UPC) Universitat Autònoma de Barcelona (UAB) Universitat de Barcelona (UB) Institut de Ciències Fotòniques (ICFO) PHOTONICSBCN http://www.photonicsbcn.eu
More informationComparing quantum and classical correlations in a quantum eraser
Comparing quantum and classical correlations in a quantum eraser A. Gogo, W. D. Snyder, and M. Beck* Department of Physics, Whitman College, Walla Walla, Washington 99362, USA Received 14 February 2005;
More informationEPR Paradox Solved by Special Theory of Relativity
EPR Paradox Solved by Special Theory of Relativity Justin Lee June 20 th, 2013 Abstract This paper uses the special theory of relativity (SR) to introduce a novel solution to Einstein- Podolsky-Rosen (EPR)
More informationViolation of Bell s inequality under strict Einstein locality conditions
Violation of Bell s inequality under strict Einstein locality conditions Gregor Weihs, Thomas Jennewein, Christoph Simon, Harald Weinfurter, and Anton Zeilinger Institut für Experimentalphysik, Universität
More informationQuantum Entanglement and Bell's Inequalities
Quantum Entanglement and Bell's Inequalities James Westover University of Rochester In this experiment we produced entangled photons using a pair of BBO crystals. We then proceeded to make measurements
More informationCharacterization of Entanglement Photons Generated by a Spontaneous Parametric Down-Conversion Pulse Source
Kasetsart J. (Nat. Sci.) 45 : 72-76 (20) Characterization of Entanglement Photons Generated by a Spontaneous Parametric Down-Conversion Pulse Source Ekkasit Sakatok and Surasak Chiangga 2 * ABSTRACT Quantum
More informationA Superluminal communication solution based on Four-photon entanglement
A Superluminal communication solution based on Four-photon entanglement Jia-Run Deng cmos001@163.com Abstract : Based on the improved design of Four-photon entanglement device and the definition of Encoding
More informationEntanglement and Bell s Inequalities. Benjamin Feifke, Kara Morse. Professor Svetlana Lukishova
Entanglement and Bell s Inequalities Benjamin Feifke, Kara Morse Professor Svetlana Lukishova Abstract The purpose of this is experiment was to observe quantum entanglement by calculating Bell s Inequality
More informationHighly efficient photon-pair source using a. Periodically Poled Lithium Niobate waveguide
Highly efficient photon-pair source using a Periodically Poled Lithium Niobate waveguide S. Tanzilli, H. De Riedmatten, W. Tittel, H. Zbinden, P. Baldi, M. De Micheli, D.B. Ostrowsky, and N. Gisin Indexing
More informationEPR Paradox and Bell s Inequality
EPR Paradox and Bell s Inequality James Cross 2018-08-18 1 Introduction The field of quantum mechanics is practically synonymous with modern physics. The basics of quantum theory are taught in every introductory
More informationLab. 1. Entanglement and Bell inequalities
Lab.. Entanglement and Bell inequalitie In quantum mechanic, two particle are called entangled if their tate cannot be factored into ingle-particle tate: Ψ Ψ Ψ Meaurement performed on the firt particle
More informationQuasi-gedanken experiment challenging the nosignaling
Quasi-gedanken experiment challenging the nosignaling theorem Demetrios A. Kalamidas,* Raith Nanolithography, 300 Jordan Rd, Troy, NY 280 *Corresponding author. Email: demetrios.kalamidas@raithamerica.com
More informationEXPERIMENTAL IMPLEMENTATION OF HIGHER DIMENSIONAL ENTANGLEMENT NG TIEN TJUEN
EXPERIMENTAL IMPLEMENTATION OF HIGHER DIMENSIONAL ENTANGLEMENT NG TIEN TJUEN (B.Sc. (Hons.)), NUS A THESIS SUBMITTED FOR THE DEGREE OF MASTER OF SCIENCE PHYSICS DEPARTMENT NATIONAL UNIVERSITY OF SINGAPORE
More informationLab 1 Entanglement and Bell s Inequalities
Quantum Optics Lab Review Justin Winkler Lab 1 Entanglement and Bell s Inequalities Entanglement Wave-functions are non-separable Measurement of state of one particle alters the state of the other particle
More informationarxiv:quant-ph/ v1 2 Oct 1997
Experimental Realization of Teleporting an nknown Pure Quantum State via Dual Classical and Einstein-Podolski-Rosen Channels arxiv:quant-ph/97003v Oct 997 D. Boschi (), S. Branca (), F. De Martini (),
More informationQuantum Optics and Quantum Information Laboratory Review
Quantum Optics and Quantum Information Laboratory Review Fall 2010 University of Rochester Instructor: Dr. Lukishova Joshua S. Geller Outline Lab 1: Entanglement and Bell s Inequalities Lab 2: Single Photon
More informationINTRODUCTORY NOTES ON QUANTUM COMPUTATION
INTRODUCTORY NOTES ON QUANTUM COMPUTATION Keith Hannabuss Balliol College, Oxford Hilary Term 2009 Notation. In these notes we shall often use the physicists bra-ket notation, writing ψ for a vector ψ
More informationBell tests in physical systems
Bell tests in physical systems Seung-Woo Lee St. Hugh s College, Oxford A thesis submitted to the Mathematical and Physical Sciences Division for the degree of Doctor of Philosophy in the University of
More informationBell s Theorem. Ben Dribus. June 8, Louisiana State University
Bell s Theorem Ben Dribus Louisiana State University June 8, 2012 Introduction. Quantum Theory makes predictions that challenge intuitive notions of physical reality. Einstein and others were sufficiently
More informationQuantum Entanglement, Quantum Cryptography, Beyond Quantum Mechanics, and Why Quantum Mechanics Brad Christensen Advisor: Paul G.
Quantum Entanglement, Quantum Cryptography, Beyond Quantum Mechanics, and Why Quantum Mechanics Brad Christensen Advisor: Paul G. Kwiat Physics 403 talk: December 2, 2014 Entanglement is a feature of compound
More informationJ = L + S. to this ket and normalize it. In this way we get expressions for all the kets
Lecture 3 Relevant sections in text: 3.7, 3.9 Total Angular Momentum Eigenvectors How are the total angular momentum eigenvectors related to the original product eigenvectors (eigenvectors of L z and S
More informationTwo-photon double-slit interference experiment
1192 J. Opt. Soc. Am. B/Vol. 15, No. 3/March 1998 C. K. Hong and T. G. Noh Two-photon double-slit interference experiment C. K. Hong and T. G. Noh Department of Physics, Pohang University of Science and
More informationarxiv: v2 [quant-ph] 6 Aug 2007
An experimental test of non-local realism Simon Gröblacher, 1, Tomasz Paterek, 3, 4 Rainer Kaltenbaek, 1 Časlav Brukner, 1, Marek Żukowski,1, 3 Markus Aspelmeyer, 1,, 1,, and Anton Zeilinger 1 Faculty
More informationThe Einstein-Podolsky-Rosen thought experiment and Bell s theorem
PHYS419 Lecture 0 The Einstein-Podolsky-Rosen thought experiment and Bell s theorem 1 The Einstein-Podolsky-Rosen thought experiment and Bell s theorem As first shown by Bell (1964), the force of the arguments
More informationLecture 3 (21 March, 9:15-10:45) : Quantum optics with discrete and continuous variables.
1 University Paris-Saclay - IQUPS Optical Quantum Engineering: From fundamentals to applications Philippe Grangier, Institut d Optique, CNRS, Ecole Polytechnique. Lecture 1 (7 March, 9:15-10:45) : Qubits,
More informationViolation of local realism with freedom of choice
1 Violation of local realism with freedom of choice Thomas Scheidl, Rupert Ursin, Johannes Kofler, Sven Ramelow, Xiao-Song Ma, Thomas Herbst, Lothar Ratschbacher, Alessandro Fedrizzi, Nathan Langford,
More informationBell s inequalities and their uses
The Quantum Theory of Information and Computation http://www.comlab.ox.ac.uk/activities/quantum/course/ Bell s inequalities and their uses Mark Williamson mark.williamson@wofson.ox.ac.uk 10.06.10 Aims
More informationQUANTUM ENTANGLEMENT AND ITS ASPECTS. Dileep Dhakal Masters of Science in Nanomolecular Sciences
QUANTUM ENTANGLEMENT AND ITS ASPECTS Dileep Dhakal Masters of Science in Nanomolecular Sciences Jacobs University Bremen 26 th Nov 2010 Table of Contents: Quantum Superposition Schrödinger s Cat Pure vs.
More informationSolving the Einstein Podolsky Rosen puzzle: The origin of non-locality in Aspect-type experiments
Front. Phys., 2012, 7(5): 504 508 DOI 10.1007/s11467-012-0256-x RESEARCH ARTICLE Solving the Einstein Podolsky Rosen puzzle: The origin of non-locality in Aspect-type experiments Werner A. Hofer Department
More informationBell s inequality Experimental exercise
Bell s inequality Experimental exercise Introduction Purposes of the lab Besides familiarizing yourselves with the important concept of Bell s inequality in relation to the Einstein- Podolsky-Rosen arguments
More informationQuantum Interference of Unpolarized Single Photons
Quantum Interference of Unpolarized Single Photons Diplomarbeit im Studiengang Diplom Physik angefertigt an der Fakultät für Physik der Ludwig-Maximilians-Universität München Arbeitsgruppe Prof. Dr. Harald
More informationIntroduction to Bell s theorem: the theory that solidified quantum mechanics
Introduction to Bells theorem: the theory that solidified quantum mechanics Jia Wang Department of Chemistry, University of Michigan, 930 N. University Ave., Ann Arbor, MI 48109 (Received November 30,
More informationQuantum entanglement and macroscopic quantum superpositions
Max Planck Institute of Quantum Optics (MPQ) Garching / Munich, Germany Quantum entanglement and macroscopic quantum superpositions Johannes Kofler Quantum Information Symposium Institute of Science and
More informationA Guide to Experiments in Quantum Optics
Hans-A. Bachor and Timothy C. Ralph A Guide to Experiments in Quantum Optics Second, Revised and Enlarged Edition WILEY- VCH WILEY-VCH Verlag CmbH Co. KGaA Contents Preface 1 Introduction 1.1 Historical
More informationTheory and Experiment
Theory and Experiment Mark Beck OXPORD UNIVERSITY PRESS Contents Table of Symbols Preface xiii xix 1 MATHEMATICAL PRELIMINARIES 3 1.1 Probability and Statistics 3 1.2 LinearAlgebra 9 1.3 References 17
More informationHistorical and interpretative aspects of quantum mechanics: a physicists naive approach
Condensed Matter Physics 2006, Vol. 9, No 2(46), pp. 319 341 Historical and interpretative aspects of quantum mechanics: a physicists naive approach B.Berche, C.Chatelain, C.Dufour, T.Gourieux, D.Karevski
More informationQuantum Dense Coding and Quantum Teleportation
Lecture Note 3 Quantum Dense Coding and Quantum Teleportation Jian-Wei Pan Bell states maximally entangled states: ˆ Φ Ψ Φ x σ Dense Coding Theory: [C.. Bennett & S. J. Wiesner, Phys. Rev. Lett. 69, 88
More informationTitel der Bachelorarbeit. Bell's theorem and experimental tests. Verfasser. Cheng Xiaxi
BACHELORARBEIT Titel der Bachelorarbeit Bell's theorem and experimental tests Verfasser Cheng Xiaxi Matrikelnummer: a0800812 Institut für Experimentalphysik der Universität Wien angestrebter akademischer
More informationToward the Generation of Bell Certified Randomness Using Photons
Toward the Generation of Bell Certified Randomness Using Photons Alessandro Cerè, Siddarth Koduru Josh, Chen Ming Chia, Jean-Daniel Bancal, Lana Sheridan, Valerio Scarani, Christian Kurtsiefer Quantum
More informationEPR paradox, Bell inequality, etc.
EPR paradox, Bell inequality, etc. Compatible and incompatible observables AA, BB = 0, then compatible, can measure simultaneously, can diagonalize in one basis commutator, AA, BB AAAA BBBB If we project
More informationAnalysis of photon flux distribution of type-Ⅱ SPDC for highly efficient entangled source adjustment
Analysis of photon flux distribution of type-Ⅱ SPDC for highly efficient entangled source adjustment Ziyi Wang 1, Heying Wang 1, Wenbo Sun 1,* 1Physics Department, Tsinghua University, Beijing 100084,
More informationViolation of Bell s inequality in Josephson phase qubits
Violation of Bell s inequality in Josephson phase qubits Markus Ansmann, H. Wang, Radoslaw C. Bialczak, Max Hofheinz, Erik Lucero, M. Neeley, A. D. O Connell, D. Sank, M. Weides, J. Wenner, A. N. Cleland,
More information1.1.1 Bell Inequality - Spin correlation
January 8, 015 Lecture IV 1.1.1 Bell Inequality - Spin correlation Consider the final spin singlet state of the decay η 0 µ + µ We suppose that the η 0 decays and the muon and µ + travel in opposite directions,
More informationPhysics 581, Quantum Optics II Problem Set #4 Due: Tuesday November 1, 2016
Physics 581, Quantum Optics II Problem Set #4 Due: Tuesday November 1, 2016 Problem 3: The EPR state (30 points) The Einstein-Podolsky-Rosen (EPR) paradox is based around a thought experiment of measurements
More informationThe nature of Reality: Einstein-Podolsky-Rosen Argument in QM
The nature of Reality: Einstein-Podolsky-Rosen Argument in QM Michele Caponigro ISHTAR, Bergamo University Abstract From conceptual point of view, we argue about the nature of reality inferred from EPR
More informationPhoton Pair Production using non-linear waveguides
Photon Pair Production using non-linear waveguides Alexander Ling J. Chen, J. Fan, A. Pearlmann, A. Migdall Joint Quantum Institute NIST and University of Maryland, College Park Motivation Correlated photon-pairs
More informationCausality and Local Determinism versus Quantum Nonlocality.
Contribution to EMQ13 in Vienna, October 2013 Causality and Local Determinism versus Quantum Nonlocality. UQO marian.kupczynski@uqo.ca Intro It was shown by many authors that the violation of Bell Inequalities
More informationThe Einstein-Podolsky-Rosen thought-experiment and Bell s theorem
PHYS419 Lecture 0 The Einstein-Podolsky-Rosen thought-experiment and Bell s theorem 1 The Einstein-Podolsky-Rosen thought-experiment and Bell s theorem As first shown by Bell (1964), the force of the arguments
More informationTesting Quantum Mechanics and bell s inequality with Observations of Causally Disconnected cosmological events Andrew Friedman
Testing Quantum Mechanics and bell s inequality with Observations of Causally Disconnected cosmological events Andrew Friedman NSF STS Postdoctoral Fellow MIT Center for Theoretical Physics http://web.mit.edu/asf/www/
More informationHong-Ou-Mandel effect with matter waves
Hong-Ou-Mandel effect with matter waves R. Lopes, A. Imanaliev, A. Aspect, M. Cheneau, DB, C. I. Westbrook Laboratoire Charles Fabry, Institut d Optique, CNRS, Univ Paris-Sud Progresses in quantum information
More informationHas CHSH-inequality any relation to EPR-argument?
arxiv:1808.03762v1 [quant-ph] 11 Aug 2018 Has CHSH-inequality any relation to EPR-argument? Andrei Khrennikov International Center for Mathematical Modeling in Physics, Engineering, Economics, and Cognitive
More informationarxiv:quant-ph/ v1 5 Sep 2002
Realization of All-or-nothing-type Kochen-Specker Experiment with Single Photons Yun-Feng Huang, Chuan-Feng Li, Yong-Sheng Zhang, Jian-Wei Pan, and Guang-Can Guo Key Laboratory of Quantum Information,
More informationOn Bell s Joint Probability Distribution Assumption and Proposed Experiments of Quantum Measurement
On Bell s Joint Probability Distribution Assumption and Proposed Experiments of Quantum Measurement Hai-Long Zhao 7th branch post office 15th P.O.BOX 11#, Lanzhou, 73750, China Abstract: In the derivation
More informationFunctional quantum nodes for entanglement distribution
61 Chapter 4 Functional quantum nodes for entanglement distribution This chapter is largely based on ref. 36. Reference 36 refers to the then current literature in 2007 at the time of publication. 4.1
More information1 Complementarity and the Quantum Eraser
1 Complementarity and the Quantum Eraser In this little text I will first give a short review of the concept of Complementarity, Which Path Detectors reversibility and how this can be used to introduce
More informationEntanglement in Particle Physics
Entanglement in Particle Physics Reinhold A. Bertlmann Faculty of Physics, University of Vienna Lecture at University of Siegen 11 July 2013 1 Contents Ø Composite quantum systems, pure or mixed states
More informationToday s Outline - April 18, C. Segre (IIT) PHYS Spring 2017 April 18, / 23
Today s Outline - April 18, 2017 C. Segre (IIT) PHYS 406 - Spring 2017 April 18, 2017 1 / 23 Today s Outline - April 18, 2017 The Einstein, Podolsky, Rosen paradox C. Segre (IIT) PHYS 406 - Spring 2017
More informationOdd Things about Quantum Mechanics: Abandoning Determinism In Newtonian physics, Maxwell theory, Einstein's special or general relativity, if an initi
Odd Things about Quantum Mechanics: Abandoning Determinism In Newtonian physics, Maxwell theory, Einstein's special or general relativity, if an initial state is completely known, the future can be predicted.
More informationAP/P387 Note2 Single- and entangled-photon sources
AP/P387 Note Single- and entangled-photon sources Single-photon sources Statistic property Experimental method for realization Quantum interference Optical quantum logic gate Entangled-photon sources Bell
More informationViolation of local realism with freedom of choice
1 Violation of local realism with freedom of choice Thomas Scheidl 1, Rupert Ursin 1, Johannes Kofler 1,2,*, Sven Ramelow 1,2, Xiao-Song Ma 1,2, Thomas Herbst 2, Lothar Ratschbacher 1,3, Alessandro Fedrizzi
More informationQuReP. Quantum Repeaters for Long Distance Fibre-Based Quantum Communication. Rob Thew. Coordinator: Nicolas Gisin
QuReP Quantum Repeaters for Long Distance Fibre-Based Quantum Communication Rob Thew Coordinator: Nicolas Gisin 1. Direct transmission Photon source Alice 2. Entanglement distribution: α Goal is to distribute
More informationarxiv:quant-ph/ v1 15 Jun 1999
arxiv:quant-ph/9906049v1 15 Jun 1999 Bell inequality and the locality loophole: Active versus passive switches N. Gisin and H. Zbinden Group of Applied Physics University of Geneva, 1211 Geneva 4, Switzerland
More informationarxiv:quant-ph/ v2 21 Jun 2004
Europhysics Letters PREPRINT Bell s inequality and the coincidence-time loophole arxiv:quant-ph/0312035v2 21 Jun 2004 Jan-Åke Larsson 1 and Richard D. Gill 2,3 1 Matematiska Institutionen, Linköpings Universitet,
More informationBasics on quantum information
Basics on quantum information Mika Hirvensalo Department of Mathematics and Statistics University of Turku mikhirve@utu.fi Thessaloniki, May 2016 Mika Hirvensalo Basics on quantum information 1 of 52 Brief
More informationIntroduction to Quantum Mechanics
Introduction to Quantum Mechanics R. J. Renka Department of Computer Science & Engineering University of North Texas 03/19/2018 Postulates of Quantum Mechanics The postulates (axioms) of quantum mechanics
More informationarxiv:quant-ph/ v3 10 Apr 2006
Spatial Orientation using Quantum Telepathy F.A. Bovino and M. Giardina Elsag spa, Via Puccini, 1615 Genova, Italy K. Svozil Institut für Theoretische Physik, University of Technology Vienna, Wiedner Hauptstraße
More informationEPR, Bell Inequalities, Cloning (continued);
EPR, Bell Inequalities, Cloning (continued); then possibly spatiotemporal distinguishability, and time measurement with photon pairs FIRST: EPR & Bell Some hidden-variable models No cloning Lecture 5:
More informationPRESELECTED QUANTUM OPTICAL CORRELATIONS
PRESELECTED QUANTUM OPTICAL CORRELATIONS Mladen Pavičić Max Planck AG Nichtklassische Strahlung, Humboldt University of Berlin, D 12484 Berlin, Germany, and Department of Mathematics, GF, University of
More informationSchemes to generate entangled photon pairs via spontaneous parametric down conversion
Schemes to generate entangled photon pairs via spontaneous parametric down conversion Atsushi Yabushita Department of Electrophysics National Chiao-Tung University? Outline Introduction Optical parametric
More informationA high brightness source of entangled photons
A high brightness source of entangled photons Leo Wallin Sonesson Spring of 2010 Supervisors: o. Univ.-Prof. Dr. Anton Zeilinger Institute for Quantum Optics and Quantum Information Austrian Academy of
More informationTeleportation of electronic many- qubit states via single photons
(*) NanoScience Technology Center and Dept. of Physics, University of Central Florida, email: mleuenbe@mail.ucf.edu, homepage: www.nanoscience.ucf.edu Teleportation of electronic many- qubit states via
More informationarxiv:quant-ph/ v1 14 Sep 1999
Position-momentum local realism violation of the Hardy type arxiv:quant-ph/99942v1 14 Sep 1999 Bernard Yurke 1, Mark Hillery 2, and David Stoler 1 1 Bell Laboratories, Lucent Technologies, Murray Hill,
More information0.5 atoms improve the clock signal of 10,000 atoms
0.5 atoms improve the clock signal of 10,000 atoms I. Kruse 1, J. Peise 1, K. Lange 1, B. Lücke 1, L. Pezzè 2, W. Ertmer 1, L. Santos 3, A. Smerzi 2, C. Klempt 1 1 Institut für Quantenoptik, Leibniz Universität
More informationQ8 Lecture. State of Quantum Mechanics EPR Paradox Bell s Thm. Physics 201: Lecture 1, Pg 1
Physics 56: Lecture Q8 Lecture State of Quantum Mechanics EPR Paradox Bell s Thm Physics 01: Lecture 1, Pg 1 Question Richard Feynman said, [the double-slit experiment] has in it the heart of quantum mechanics;
More informationTitle. Quantum communication and other quantum information technologies
Title Quantum communication and other quantum information technologies F Stef Roux CSIR National Laser Centre Presented at the University of Pretoria 20 February 2014 p. 1/41 Contents Over view of quantum
More informationQuantum Optics and Quantum Information Laboratory
Quantum Optics and Quantum Information Laboratory OPT 253, Fall 2011 Institute of Optics University of Rochester Instructor: Dr. Lukishova Jonathan Papa Contents Lab 1: Entanglement and Bell s Inequalities
More information