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Nonclassicality versus entanglement in a noncommutative space

Dey, S., Fring, A. & Hussin, V. (2017). Nonclassicality versus entanglement in a noncommutative space. International Journal of Modern Physics B, 31(1), 1650248. doi: 10.1142/S0217979216502489


Nonclassicality is an interesting property of light having applications in many different contexts of quantum optics, quantum information and computation. Nonclassical states produce substantial amount of reduced noise in optical communications. Furthermore, they often behave as sources of entangled quantum states, which are the most elementary requirement for quantum teleportation. We study various nonclassical properties of coherent states and Schrödinger cat states in a setting of noncommutative space resulting from the generalized uncertainty relation, first, in a complete analytical fashion and, later, by computing their entanglement entropies, which in turn provide supporting arguments behind our analytical results. By using standard theoretical frameworks, they are shown to produce considerably improved squeezing and nonclassicality and, hence, significantly higher amount of entanglement in comparison to the usual quantum mechanical models. Both the nonclassicality and the entanglement can be enhanced further by increasing the noncommutativity of the underlying space. In addition, we find as a by-product some rare explicit minimum uncertainty quadrature and number squeezed states, i.e., ideal squeezed states.

Publication Type: Article
Additional Information: Electronic version of an article published as International Journal of Modern Physics B, Volume 31, Issue 1, 2017, 1650248, © copyright World Scientific Publishing Company,
Publisher Keywords: Coherent states; Schrödinger cat states; minimal length; generalized uncertainty relation; noncommutative space; squeezed states; PT-symmetry; non-Hermitian Hamiltonian systems; nonclassicality; entanglement
Subjects: Q Science > QC Physics
Departments: School of Science & Technology > Mathematics
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