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Open AccessArticle

Communication Enhancement through Quantum Coherent Control of N Channels in an Indefinite Causal-Order Scenario

1
Centre for Nanoscience and Nanotechnology, C2N, CNRS, Université Paris-Sud, Université Paris-Saclay, 91120 Palaiseau, France
2
Tecnologico de Monterrey, School of Engineering and Science, Atizapán, México 52926, Mexico
*
Authors to whom correspondence should be addressed.
Entropy 2019, 21(10), 1012; https://doi.org/10.3390/e21101012
Received: 17 September 2019 / Revised: 14 October 2019 / Accepted: 16 October 2019 / Published: 18 October 2019
(This article belongs to the Special Issue Quantum Information Revolution: Impact to Foundations)
In quantum Shannon theory, transmission of information is enhanced by quantum features. Up to very recently, the trajectories of transmission remained fully classical. Recently, a new paradigm was proposed by playing quantum tricks on two completely depolarizing quantum channels i.e., using coherent control in space or time of the two quantum channels. We extend here this control to the transmission of information through a network of an arbitrary number N of channels with arbitrary individual capacity i.e., information preservation characteristics in the case of indefinite causal order. We propose a formalism to assess information transmission in the most general case of N channels in an indefinite causal order scenario yielding the output of such transmission. Then, we explicitly derive the quantum switch output and the associated Holevo limit of the information transmission for N = 2 , N = 3 as a function of all involved parameters. We find in the case N = 3 that the transmission of information for three channels is twice that of transmission of the two-channel case when a full superposition of all possible causal orders is used. View Full-Text
Keywords: quantum control; indefinite causal order; quantum switch; Holevo information quantum control; indefinite causal order; quantum switch; Holevo information
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Procopio, L.M.; Delgado, F.; Enríquez, M.; Belabas, N.; Levenson, J.A. Communication Enhancement through Quantum Coherent Control of N Channels in an Indefinite Causal-Order Scenario. Entropy 2019, 21, 1012.

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