75 YEARS OF QUANTUM ENTANGLEMENT: FOUNDATIONS AND INFORMATION THEORETIC APPLICATIONS

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1 75 YEARS OF QUANTUM ENTANGLEMENT: FOUNDATIONS AND INFORMATION THEORETIC APPLICATIONS S. N. Bose National Centre for Basic Sciences Silver Jubilee Symposium Kolkata, India 6 10 January 2011 EDITORS Dipankar Home Bose Institute, Kolkata, India Guruprasad Kar Indian Statistical Institute, Kolkata, India Archan S. Majumdar S. N. Bose National Centre for Basic Sciences, Kolkata, India All papers have been peer reviewed. SPONSORING ORGANIZATIONS S. N. Bose National Centre for Basic Sciences Bose Institute Indian Statistical Institute, Kolkata Indian Institute of Science Education and Research, Mohali Indian Institute of Science Education and Research, Pune Institute of Mathematical Sciences CSIR India DST, Inspire Indian National Science Academy Kerala State Higher Education Council Besco Limited Shah Alloys Pvt. Ltd. Daya Engineering Works Pvt. Ltd. Vishal Nirmiti Pvt. Ltd Kingfi sher Packaged Drinking Water Antiquity Music CDS Calcutta Club The Telegraph Knowhow Melville, New York, 2011 AIP CONFERENCE PROCEEDINGS 1384

2 Editors Dipankar Home CAPSS, Bose Institute Block EN, Sector V, Salt Lake Kolkata , India Guruprasad Kar PAMU, ISI Kolkata 203 B. T. Road Kolkata , India Archan S. Majumdar S. N. Bose National Centre for Basic Sciences Block JD, Sector III, Salt Lake Kolkata , India Authorization to photocopy items for internal or personal use, beyond the free copying permitted under the 1978 U.S. Copyright Law (see statement below), is granted by the American Institute of Physics for users registered with the Copyright Clearance Center (CCC) Transactional Reporting Service, provided that the base fee of $30.00 per copy is paid directly to CCC, 222 Rosewood Drive, Danvers, MA 01923, USA. For those organizations that have been granted a photocopy license by CCC, a separate system of payment has been arranged. The fee code for users of the Transactional Reporting Services is: /11/$ American Institute of Physics No claim is made to original U.S. Government works. Permission is granted to quote from the AIP Conference Proceedings with the customary acknowledgment of the source. Republication of an article or portions thereof (e.g., extensive excerpts, figures, tables, etc.) in original form or in translation, as well as other types of reuse (e.g., in course packs) require formal permission from AIP and may be subject to fees. As a courtesy, the author of the original proceedings article should be informed of any request for republication/reuse. Permission may be obtained online using Rightslink. Locate the article online at then simply click on the Rightslink icon/ Permission for Reuse link found in the article abstract. You may also address requests to: AIP Office of Rights and Permissions, Suite 1NO1, 2 Huntington Quadrangle, Melville, NY , USA; Fax: ; Tel.: ; rights@aip.org. L.C. Catalog Card No ISBN ISSN X Printed in the United States of America

3 AIP Conference Proceedings, Volume Years of Quantum Entanglement: Foundations and Information Theoretic Applications S. N. Bose National Centre for Basic Sciences Silver Jubilee Symposium Table of Contents Preface: 75 Years of Quantum Entanglement: Foundations and Information Theoretic Applications Dipankar Home, Guruprasad Kar, and Archan S. Majumdar Commitees and Sponsors Group Photo FOUNDATIONAL ASPECTS Philosophical lessons of entanglement Anthony Sudbery 7 Time-symmetry, weak measurements and dynamical non-locality in quantum mechanics Jeff Tollaksen 15 Entanglement, the quantum formalism and the classical world A. Matzkin 27 Entanglement and the quantum spatial continuum John V. Corbett 34 Facets of contextual realism in quantum mechanics Alok K. Pan and Dipankar Home 42 Experiments for realising pragmatic protective measurements N.D. Hari Dass 51 Entanglement and new perception of informatics Jozef Gruska 59 QUANTUM INFORMATION THEORY AND APPLICATIONS Unification of quantum and classical correlations and quantumness measures 1 Kavan Modi and Vlatko Vedral 69 Quantum states, entanglement and closed timelike curves Arun K. Pati, Indranil Chakrabarty, and Pankaj Agrawal 76 Sub-Planck structures and quantum metrology Prasanta K. Panigrahi, Abhijeet Kumar, Utpal Roy, and Suranjana Ghosh 84 v

4 A proposal to generate entangled compass states with sub-planck structure Sayan Choudhury and Prasanta K. Panigrahi 91 Cosmological dark energy and entanglement Sanjay K. Ghosh and Sibaji Raha 97 Efficient energy transport in photosynthesis: roles of coherence and entanglement Apoorva D. Patel 102 Swapping path-spin intraparticle entanglement onto spin-spin mixed interparticle entanglement involving amplitude damping channel Satyabrata Adhikari, A. S. Majumdar, D. Home, and A. K. Pan 108 Towards normal forms for GHZ/W calculus Shibdas Roy 112 Schmidt strength of the geometrical edges of two-qubit gates S. Balakrishnan and R. Sankaranarayanan 120 Non zero moments of some entangled three qubit symmetric states Swarnamala Sirsi and Veena Adiga 125 Entanglement transport in quantum spin chain systems Sujit Sarkar 131 Magnetically induced variation of tunneling current and nonclassicality in a coupled quantum dot system Kinshuk Banerjee and Gautam Gangopadhyay 137 Recent trend of development in quantum finite automata Soumya Debabrata Pani and Chandan Kumar Behera 143 ENTANGLEMENT IN QUANTUM OPTICS Quantum optical nonclassicality for single-mode radiation fields and conversion to entanglement N. Mukunda 153 Nonclassicality and entanglement in multimode radiation fields under the action of classicality preserving devices S. Chaturvedi 159 Correlations and thermalization in driven cavity arrays Li Dai, Dimitris G. Angelakis, Leong Chuan Kwek, and S. Mancini 168 Wigner distribution function and entanglement of quantum optical elliptical vortex Abir Bandyopadhyay, Shashi Prabhakar, and R. P. Singh 177 vi

5 Atomic entanglement mediated by various non-classical cavity fields Papri Saha, A. S. Majumdar, and N. Nayak 183 Bloch equation and atom-field entanglement scenario in three-level systems Surajit Sen, Mihir Ranjan Nath, Tushar Kanti Dey, and Gautam Gangopadhyay 190 EXPERIMENTAL ADVANCES Basic features of quantum physics studied with neutrons Helmut Rauch 199 Spin-path entanglement in single-neutron interferometer experiments Yuji Hasegawa and Daniel Erdősi 213 Two-photon imaging with entangled and thermal light Ling-An Wu and Kai-Hong Luo 223 Non-destructive discrimination of arbitrary set of orthogonal quantum states by NMR using quantum phase estimation V. S. Manu and Anil Kumar 229 Foundations of quantum mechanics: recent developments at INRIM Marco Genovese and Fabrizio Piacentini 241 Towards using molecular states as qubits Debabrata Goswami, Tapas Goswami, S. K. Karthick Kumar, and Dipak K. Das 251 Born rule(s) Urbasi Sinha 254 Experimental quantification of entanglement in quantum spin systems Diptaranjan Das, Tanmoy Chakraborty, Tamal K. Sen, Harkirat Singh, Swadhin K. Mandal, and Chiranjib Mitra 261 Author Index 271 vii

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