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<html> <title>FOUNDATIONS OF QUANTUM ENTANGLEMENT</title> <body background = "OpticsJournal-33.jpg"> <link rel="stylesheet" type="text/css" media="screen" href="experiment-7.css"></link> <BODY LINK="#000066" VLINK="004466" ALINK="#000066"> <center><a href="http://www.tunablelasers.com"><img src = "http://www.tunablelasers.com/tunablelasers-7.jpg" align = leftt border = 0></a></center> <center><h2>Foundations of Quantum Entanglement</h2></center> The papers and book chapters listed here provide a clear and well documented history on the origin of the equations for the probability amplitude of quantum entanglement, also known as Bell's states or EPR's states. Furthermore, a transparent and cohesive derivation of this probability amplitude based entirely on N-slit interferometric principles, and the use of Dirac's identities, is given. Parenthetically, it should be mentioned that the emphasis in these papers is the physics of quantum entanglement rather than philosophical aspects. <ul> <li><a href="https://laserfocusworld.com/science-research/article/14286266/quantum-entanglement-free-of-paradoxes">F. J. Duarte, Quantum entanglement free of paradoxes, Laser Focus World 59 (1), 55-56 (2023)</a>. <li><a href="http://www.tunablelasers.com/FQE.htm">F. J. Duarte, Fundamentals of Quantum Entanglement, 2nd Edn (Institute of Physics, Bristol, 2022)</a>. </ul> <center><a href="http://www.tunablelasers.com/FQE.htm"><img src = "http://www.tunablelasers.com/FJ Duarte FQE 2nd Edn 2022(b).jpg"></a></center> <ul> <li><a href="https://link.springer.com/article/10.1007/s00340-021-07730-6">F. J. Duarte and T. S. Taylor, Quantum coherence in electrically-pumped organic interferometric emitters, Appl. Phys. B 128 (2022)</a>. <li><a href="http://www.tunablelasers.com/QEEA.htm">F. J. Duarte and T. S. Taylor, Quantum Entanglement Engineering and Applications (Institute of Physics, Bristol, 2021)</a>. </ul> <center><a href="http://www.tunablelasers.com/QEEA.htm"><img src = "http://www.tunablelasers.com/FJ Duarte QEEA Cover-1.jpg"></a> </center> <ul> <li><a href="https://link.springer.com/article/10.1007/s11082-020-2205-1">F. J. Duarte, T. S. Taylor, and J. C. Slaten, On the probability amplitude of quantum entanglement and the Pauli matrices, Opt. Quantum Electron. 52, 106 (2020)</a> <li><a href="http://www.tunablelasers.com/FQE.htm">F. J. Duarte, Fundamentals of Quantum Entanglement (Institute of Physics, Bristol, 2019)</a>. </ul> <center><a href="http://www.tunablelasers.com/FQE.htm"><img src = "http://www.tunablelasers.com/FJ Duarte FQE Cover 4.jpg"></a> </center> <ul> <li><a href="http://www.sciencedirect.com/science/article/pii/S0030402617302759">F. J. Duarte and T. S. Taylor, Quantum entanglement probability amplitudes in multiple propagation channels: an interferometric approach, Optik 139, 222-230 (2017)</a>. <li><a href="http://scitation.aip.org/content/aip/journal/apr2/3/4/10.1063/1.4966139;jsessionid=oi5jNzYKz9LYQe101JJdKfDL.x-aip-live-03">F. J. Duarte, Secure space-to-space interferometric communications and its nexus to the physics of quantum entanglement, Appl. Phys. Rev. 3, 041301 (2016) </a> (Invited). <li><a href="http://www.laserfocusworld.com/articles/print/volume-51/issue-04/features/interferometry-quantum-entanglement-physics-secures-space-to-space-interferometric-communications.html">F. J. Duarte and T. S. Taylor, Laser Focus World, Quantum entanglement physics secures space-to-space interferometric communications, 51(4), 54-58 (2015)</a>. </ul> <center><a href="http://www.laserfocusworld.com/articles/print/volume-51/issue-04/features/interferometry-quantum-entanglement-physics-secures-space-to-space-interferometric-communications.html"><img src = "http://www.fjduarte.com/LFW April 2015.jpg"></a> </center> <ul> <li><a href="http://www.tunablelaseroptics.com/">F. J. Duarte, Tunable Laser Optics, Second Edition (CRC, New York, 2015)</a>. </ul> <center><a href="http://www.tunablelaseroptics.com"><img src = "http://www.tunablelasers.com/FJ DUARTE TLO 2015.png"></a></center> <ul> <li><a href="http://www.tunablelasers.com/quantumopticsforengineers.htm">F. J. Duarte, Quantum Optics for Engineers (CRC, New York, 2014)</a>. </ul> <center><a href = "http://www.tunablelasers.com/quantumopticsforengineers.htm"><img src = "http://www.fjduarte.com/F J Duarte QOE.jpg"></a></center> <ul> <li><a href="http://www.tunablelasers.com/fjduarte.htm">F. J. Duarte</a>, <a href="http://www.tandfonline.com/doi/full/10.1080/09500340.2013.844282#.UoJU7yfoNko">The probability amplitude for entangled polarizations: an interferometric approach, J. Mod. Opt. 60, 1585-1587 (2013) </a>. <li><a href="http://www.sciencedirect.com/science/article/pii/S007967271300044X">F. J. Duarte, Tunable laser optics: applications to optics and quantum optics, Progress in Quantum Electronics 37, 326-347 (2013) (Invited)</a>. <li><a href="http://www.tunablelasers.com/FJ DUARTE AUS PHYS 50 12-14 (2013).pdf">F. J. Duarte, The probability amplitude equation of quantum entanglement: the Australian connection, Australian Physics 50 (1), 12-14 (2013)</a>. <li><a href="http://www.springerlink.com/content/e0040673536n253u/">F. J. Duarte, The origin of quantum entanglement experiments based on polarization measurements, Euro. Phys. J. H 37, 311-318 (2012)</a>. </ul> <center><a href="http://www.springerlink.com/content/e0040673536n253u/"><img src = "http://www.tunablelasers.com/FJ DUARTE QUANTUM EPJH 2012.jpg"></a> </center> <center> First published on the 13th of April, 2017; Updated on the 4th of January, 2023. </center></html>