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QUANTUM INFORMATION SCIENCE

On coding of a quantum source of states with a finite frequency band: Quantum analogue of the Kotelnikov theorem on sampling

S. N. Molotkov<sup>ab

a</sup> Institute of Solid State Physics, Russian Academy of Sciences
^b M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: An example of coding a source of quantum states with a finite frequency band $W$ and finite exit power not exceeding $\sim(\hbar W)\cdot W$ is given. The number of classical information bits that can be coded in the quantum states generated by such a source per unit time is $C=W$. Such a source is minimal in the sense that the filling factor for each of the orthogonal single-particle modes constituting $N=WT$-photon vector in time window $2T$ is equal to 1. This result can be treated as a quantum analogue of the Kotelnikov theorem on sampling for classical signals.

PACS: 03.67.Dt, 42.50.-p, 89.70.+c

Received: 27.08.2003
Revised: 30.09.2003

 English version: Journal of Experimental and Theoretical Physics Letters, 2003, 78:9, 597–601

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