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arXiv · 1801.03767

Quantum cloning and teleportation fidelity in the noncommutative phase-space

P. Leal·A. E. Bernardini·O. Bertolami
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Abstract

The formulation of the no-cloning theorem in the framework of phase-space 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.

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P. Leal, A. E. Bernardini, O. Bertolami. 2018-01-11. Quantum cloning and teleportation fidelity in the noncommutative phase-space. https://doi.org/10.1088/1751-8121%2Fab359b

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