Experimental Quantum Teleportation
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16 Multi-Photon Entanglement and Quantum Non-Locality
16 Multi-Photon Entanglement and Quantum Non-Locality Jian-Wei Pan and Anton Zeilinger We review recent experiments concerning multi-photon Greenberger–Horne– Zeilinger (GHZ) entanglement. We have experimentally demonstrated GHZ entanglement of up to four photons by making use of pulsed parametric down- conversion. On the basis of measurements on three-photon entanglement, we have realized the first experimental test of quantum non-locality following from the GHZ argument. Not only does multi-particle entanglement enable various fundamental tests of quantum mechanics versus local realism, but it also plays a crucial role in many quantum-communication and quantum- computation schemes. 16.1 Introduction Ever since its introduction in 1935 by Schr¨odinger [1] entanglement has occupied a central position in the discussion of the non-locality of quantum mechanics. Originally the discussion focused on the proposal by Einstein, Podolsky and Rosen (EPR) of measurements performed on two spatially sep- arated entangled particles [2]. Most significantly John Bell then showed that certain statistical correlations predicted by quantum physics for measure- ments on such two-particle systems cannot be understood within a realistic picture based on local properties of each individual particle – even if the two particles are separated by large distances [3]. An increasing number of experiments on entangled particle pairs having confirmed the statistical predictions of quantum mechanics [4–6] and have thus provided increasing evidence against local realistic theories. However, one might find some comfort in the fact that such a realistic and thus classical picture can explain perfect correlations and is only in conflict with statistical predictions of the theory. -
Methods of Quantum Information Processing
1 Methods of Quantum Information Processing (with an emphasis on optical implementations) Adam Miranowicz e-mail: [email protected] http://zon8.physd.amu.edu.pl/»miran summer semester 2008 2 Keywords ² quantum logic gates ² quantum entanglement ² quantum cryptography ² quantum teleportation ² quantum algorithms ² quantum error correction ² quantum tomography ² solid-state implementations of quantum computing 3 Basic textbook: 1. Quantum Computation and Quantum Information by Michael A. Nielsen and Isaac L. Chuang (Cambridge, 2000) Review articles on quantum-optical computing: 1. Linear optical quantum computing, P. Kok, W.J. Munro, K. Nemoto, T.C. Ralph, J. P. Dowling, G.J. Milburn, free downloads at http://arxiv.org/quant-ph/0512071. 2. Linear optics quantum computation: an overview, C.R. Myers, R. Laflamme, free downloads at http://arxiv.org/quant-ph/0512104. 3. Quantum optical systems for the implementation of quantum information processing, T.C. Ralph, free downloads at http://arxiv.org/quant-ph/0609038. 4. Quantum mechanical description of linear optics J. Skaar, J.C.G. Escartin, H. Landro, Am. J. Phys. 72, 1385-1391 (2005). 4 Other Textbooks on Quantum Computing 1. Quantum Computing by Joachim Stolze, Dieter Suter 2. Approaching Quantum Computing by Dan C. Marinescu, Gabriela M. Marinescu 3. Introduction to Quantum Computation and Information edited by Hoi-Kwong Lo, Tim Spiller, Sandu Popescu 4. Quantum Computing by Mika Hirvensalo 5. Explorations in Quantum Computing by Colin P. Williams, Scott H. Clearwater 6. Quantum Information Processing edited by Gerd Leuchs, Thomas Beth 7. Quantum Computing by Josef Gruska 8. Quantum Computing and Communications by Sandor Imre, Ferenc Balazs 5 9. -
The Physics of Quantum Information
The Physics of Quantum Information Quantum Cryptography, Quantum Teleportation, Quantum Computation Bearbeitet von Dirk Bouwmeester, Artur K Ekert, Anton Zeilinger 1. Auflage 2000. Buch. xvi, 315 S. Hardcover ISBN 978 3 540 66778 0 Format (B x L): 15,5 x 23,5 cm Gewicht: 1440 g Weitere Fachgebiete > EDV, Informatik > Datenbanken, Informationssicherheit, Geschäftssoftware > Zeichen- und Zahlendarstellungen schnell und portofrei erhältlich bei Die Online-Fachbuchhandlung beck-shop.de ist spezialisiert auf Fachbücher, insbesondere Recht, Steuern und Wirtschaft. Im Sortiment finden Sie alle Medien (Bücher, Zeitschriften, CDs, eBooks, etc.) aller Verlage. Ergänzt wird das Programm durch Services wie Neuerscheinungsdienst oder Zusammenstellungen von Büchern zu Sonderpreisen. Der Shop führt mehr als 8 Millionen Produkte. Contents 1. The Physics of Quantum Information: Basic Concepts ::::::::::::::::::::::::::::::::::::::::::: 1 1.1 Quantum Superposition ................................. 1 1.2 Qubits ................................................ 3 1.3 Single-Qubit Transformations ............................ 4 1.4 Entanglement .......................................... 7 1.5 Entanglement and Quantum Indistinguishability............ 9 1.6 The Controlled NOT Gate ............................... 11 1.7 The EPR Argument and Bell’s Inequality ................. 12 1.8 Comments ............................................. 14 2. Quantum Cryptography :::::::::::::::::::::::::::::::::: 15 2.1 What is Wrong with Classical Cryptography? ............. -
Nonclassical States of Light and Mechanics
Nonclassical States of Light and Mechanics Klemens Hammerer, Claudiu Genes, David Vitali, Paolo Tombesi, Gerard Milburn, Christoph Simon, Dirk Bouwmeester Abstract This chapter reports on theoretical protocols for generating nonclassical states of light and mechanics. Nonclassical states are understood as squeezed states, entangled states or states with negative Wigner function, and the nonclassicality can refer either to light, to mechanics, or to both, light and mechanics. In all protocols nonclassicallity arises from a strong optomechanical coupling. Some protocols rely in addition on homodyne detection or photon counting of light. 1 Introduction An outstanding goal in the field of optomechanics is to go beyond the regime of classical physics, and to generate nonclassical states, either in light, the mechanical oscillator, or involving both systems, mechanics and light. The states in which light and mechanical oscillators are found naturally are those with Gaussian statistics Klemens Hammerer Leibniz University Hanover, e-mail: [email protected] Claudiu Genes Univerity of Innsbruck, e-mail: [email protected] David Vitali University of Camerino, e-mail: [email protected] Paolo Tombesi University of Camerino, e-mail: [email protected] arXiv:1211.2594v1 [quant-ph] 12 Nov 2012 Gerard Milburn University of Queensland, e-mail: [email protected] Christoph Simon University of Calgary, e-mail: Dirk Bouwmeester University of California, e-mail: [email protected] 1 2 Authors Suppressed Due to Excessive Length with respect to measurements of position and momentum (or field quadratures in the case of light). The class of Gaussian states include for example thermal states of the mechanical mode, as well as its ground state, and on the side of light coherent states and vacuum.