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The mysteries of quantum correlation

Shengjun Wu

Published Jan 29, 2013• 0 citations
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New perspectives on quantum correlations

Nicolas Brunner

Physica E Low-dimensional Systems and Nanostructures•Jun 25, 2009•3 citations

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Ana Elisa D. Barioni, Felipe Boechat Mazzi, Elsa Bifano Pimenta +2 more

How come such a successful theory like Quantum Mechanics has so many mysteries? The history of this theory is replete with dubious interpretations and controversies. The knowledge of its predictions, however, caused the amazing technological revolution of the last hundred years. In its very beginning Einstein pointed out that there was something missing due to contradictions with the relativity theory. So, even though Quantum Mechanics explains all the physical phenomena, due to its mysteries, there were many attempts to find a way to ``complete it, e.g. hidden-variable theories. In this paper, we present these mysteries, with special attention to the concepts of physical reality imposed by quantum mechanics, the role of the observer, prediction limits, definition of collapse, and how to deal with correlated states (the basic strategy for quantum computers and quantum teleportation). The discussion is carried out by accepting that there is nothing important missing. We are just restricted by the limitations imposed by quantum mechanics. The mysteries are cleared out by a proper interpretation of these limitations. This is done by introducing two interpretation rules within the Copenhagen interpretation.

•Jun 3, 2021•0 citations

Quantum correlations

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Coherently excited nonlocal quantum features using polarization-frequency correlation between quantum erasers

Byoung Seung HAM

Abstract Photon indistinguishability is an essential concept to understanding “mysterious” quantum features from the viewpoint of the wave-particle duality in quantum mechanics. The physics of indistinguishability lies in the manipulation of quantum superposition between orthonormal bases of a single photon such as in a quantum eraser. Here, a pure coherence approach is applied for the nonlocal correlation based on the polarization-frequency correlation of Poisson-distributed coherent photon pairs to investigate the role of quantum measurements. For this, a gated heterodyne-detection technique is adopted for coincidence measurements between space-like separated delayed-choice quantum erasers, resulting in an inseparable basis product between them. Thus, the mysterious quantum correlation is coherently understood via a tensor-product modification for the second-order quantum superposition. Finally, the Bell inequality violation is numerically confirmed for the derived coherence solutions of the nonlocal correlation.

arXiv:2304.04006•Aug 24, 2023•0 citations

Quantum Correlations

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Quantum Paradoxes: Quantum Theory for the Perplexed

Yakir Aharonov, Daniel Rohrlich

A Guide through the Mysteries of Quantum Physics!Yakir Aharonov is one of the pioneers in measuring theory, the nature of quantum correlations, superselection rules, and geometric phases and has been awarded numerous scientific honors. The author has contributed monumental concepts to theoretical physics, especially the Aharonov-Bohm effect and the Aharonov-Casher effect. Together with Daniel Rohrlich of the Weizmann Institute, Israel, he has written a pioneering work on the remaining mysteries of quantum mechanics. From the perspective of a preeminent researcher in the fundamental aspects of quantum mechanics, the text combines mathematical rigor with penetrating and concise language

•Apr 15, 2005•305 citations
How come such a successful theory like Quantum Mechanics has so many mysteries? The history of this theory is replete with dubious interpretations and controversies. The knowledge of its predictions, however, caused the amazing technological revolution of the last hundred years. In its very beginning Einstein pointed out that there was something missing due to contradictions with the relativity theory. So, even though Quantum Mechanics explains all the physical phenomena, due to its mysteries, there were many attempts to find a way to ``complete it, e.g. hidden-variable theories. In this paper, we present these mysteries, with special attention to the concepts of physical reality imposed by quantum mechanics, the role of the observer, prediction limits, definition of collapse, and how to deal with correlated states (the basic strategy for quantum computers and quantum teleportation). The discussion is carried out by accepting that there is nothing important missing. We are just restricted by the limitations imposed by quantum mechanics. The mysteries are cleared out by a proper interpretation of these limitations. This is done by introducing two interpretation rules within the Copenhagen interpretation.
Abstract Photon indistinguishability is an essential concept to understanding “mysterious” quantum features from the viewpoint of the wave-particle duality in quantum mechanics. The physics of indistinguishability lies in the manipulation of quantum superposition between orthonormal bases of a single photon such as in a quantum eraser. Here, a pure coherence approach is applied for the nonlocal correlation based on the polarization-frequency correlation of Poisson-distributed coherent photon pairs to investigate the role of quantum measurements. For this, a gated heterodyne-detection technique is adopted for coincidence measurements between space-like separated delayed-choice quantum erasers, resulting in an inseparable basis product between them. Thus, the mysterious quantum correlation is coherently understood via a tensor-product modification for the second-order quantum superposition. Finally, the Bell inequality violation is numerically confirmed for the derived coherence solutions of the nonlocal correlation.
A Guide through the Mysteries of Quantum Physics!Yakir Aharonov is one of the pioneers in measuring theory, the nature of quantum correlations, superselection rules, and geometric phases and has been awarded numerous scientific honors. The author has contributed monumental concepts to theoretical physics, especially the Aharonov-Bohm effect and the Aharonov-Casher effect. Together with Daniel Rohrlich of the Weizmann Institute, Israel, he has written a pioneering work on the remaining mysteries of quantum mechanics. From the perspective of a preeminent researcher in the fundamental aspects of quantum mechanics, the text combines mathematical rigor with penetrating and concise language