Generalized asymmetric phase-covariant quantum cloning within a nonextensive approach

Generalized asymmetric phase-covariant quantum cloning within a nonextensive approach In this paper, we present a generalized transformation of the optimal asymmetric $$1\longrightarrow 2$$ 1 ⟶ 2 phase-covariant quantum cloning. This generalization is based on the deformed forms of the exponential that emerge from nonextensive statistical mechanics. In particular, two distinct definitions of the q-exponential are discussed. The case where the cloning is symmetric is also studied. In order to highlight the influence of nonextensive treatment on the perfection of clones and entanglement, the effect of the q-index has been clearly illustrated in figures depicting the fidelities in terms of the entanglement parameter $$\theta $$ θ for different values of q. Our study shows that due to the intrinsic properties of the system, the entanglement is not preserved. Thus, entanglement can be controlled by the nonextensive parameter. As an illustration, the incoherent attack on the BB84 protocol has also been considered in the economical case. Quantum Information Processing Springer Journals

Generalized asymmetric phase-covariant quantum cloning within a nonextensive approach

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Springer US
Copyright © 2015 by Springer Science+Business Media New York
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
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