Quantum cloning and teleportation fidelity in the noncommutative phase-space

• Type: Article in International Scientific Journal
• Date: 2019

Authors

Leal, P (Author) Other; Bernardini, AE (Author) Other; Bertolami, O (Author) FCUP

Journal

Title: Journal of Physics A: Mathematical and Theoretical

Vol. 52

ISSN: 1751-8113

Publisher: Institute of Physics Publishing

Indexing

ISI Web of Knowledge - 5 Citations

Scopus - 5 Citations

Other information

Authenticus ID: P-00Q-YFZ

DOI: 10.1088/1751-8121/ab359b

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 18