Quantum cloning and teleportation fidelity in the noncommutative phase-space

Author(s)

Leal, P. ^[1] ; Bernardini, A. E. ; Bertolami, O.

Affiliation

^[1] Univ Porto, Fac Ciencias, Dept Fis & Astron, Rua Campo Alegre 687, P-4169007 Porto - Portugal

• Document type: Journal article
• Source: Journal of Physics A-Mathematical and Theoretical; v. 52, n. 37 SEP 13 2019.
• Web of Science Citations: 0

Abstract

The formulation of the no-cloning theorem in the framework of phasespace noncommutative (NC) quantum mechanics (QM) is examined, and its implications for the computation of quantum cloning probabilities and teleportation fidelity are investigated through the Weyl-Wigner formulation of QM. The principles of QM re-edited in terms of a deformed Heisenberg-Weyl algebra are shown to provide a covariant formulation for the quantum fidelity, through which the results from the no-cloning theorem for the ordinary QM can be reproduced. Besides exhibiting an explicit correspondence between standard and NC QM for Gaussian Wigner functions, our results suggest a feasible interpretation for the NC continuous variable quantum cloning given in terms of quantum teleportation protocols. (AU)

• FAPESP's process: 17/02294-2 - The classical-quantum correspondence of cosmological scenarios from the analysis of Quantum Decoherence and Gaussian correlations
• Grantee: Alex Eduardo de Bernardini
• Support Opportunities: Scholarships abroad - Research