A Simple Heuristic Derivation of Shannon’s Formula for a Communication Channel with Continuous Variables in the Quantum Case

Autor: I. M. Arbekov, S. N. Molotkov, I. Sinilshchikov
Rok vydání: 2021
Předmět:
Zdroj: Journal of Experimental and Theoretical Physics. 132:362-373
ISSN: 1090-6509
1063-7761
DOI: 10.1134/s1063776121030110
Popis: The aim of the paper is the derivation of formulas for the capacities of a classical–quantum communication channel with Gaussian noise, which are analogs of the classical capacities and arise in many problems of quantum information theory, on a simple, heuristic and physically intuitively clear level. The classical capacity of a classical communication channel with limited frequency band and Gaussian information states diverges as noise tends to zero. In a consistent quantum consideration, the divergence is removed, which is a consequence of the fundamental physical principle of indistinguishability of particles—bosons in information states.
Databáze: OpenAIRE
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