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Entangled quantum systems and the Schmidt decomposition

Entangled quantum systems and the Schmidt decomposition Quantum systems comprised of interacting subsystems become highly correlated and their individual identities become entangled. This entanglement can be described using the Schmidt decomposition, in which a pair of preferred orthonormal bases can be constructed to emphasize the tight correlations between two quantum subsystems. Examples are given of how the Schmidt basis can be exploited to shed new light on entangled subsystems in quantum optics, paying special attention to two‐mode squeezed states and to atom–field interaction. © ; 1995 American Association of Physics Teachers. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png American Journal of Physics American Association of Physics Teachers

Entangled quantum systems and the Schmidt decomposition

American Journal of Physics , Volume 63 (5) – May 1, 1995

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Publisher
American Association of Physics Teachers
Copyright
Copyright © 1995 American Association of Physics Teachers
ISSN
0002-9505
eISSN
1943-2909
DOI
10.1119/1.17904
Publisher site
See Article on Publisher Site

Abstract

Quantum systems comprised of interacting subsystems become highly correlated and their individual identities become entangled. This entanglement can be described using the Schmidt decomposition, in which a pair of preferred orthonormal bases can be constructed to emphasize the tight correlations between two quantum subsystems. Examples are given of how the Schmidt basis can be exploited to shed new light on entangled subsystems in quantum optics, paying special attention to two‐mode squeezed states and to atom–field interaction. © ; 1995 American Association of Physics Teachers.

Journal

American Journal of PhysicsAmerican Association of Physics Teachers

Published: May 1, 1995

Keywords: QUANTUM MECHANICS; QUANTUM OPTICS; SQUEEZED STATES; CORRELATIONS; EIGENVECTORS; QUANTUM OPERATORS

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