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Mat. Zametki, 2001 Volume 70, Issue 1, Pages 59–67 (Mi mzm719)

Nondigital Implementation of the Arithmetic of Real Numbers

G. L. Litvinova, V. P. Maslovb, G. B. Shpiza

a International Center "Sophus Lie"
b M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: In the framework of a model for quantum computer media, a nondigital implementation of the arithmetic of the real numbers is described. For this model, an elementary storage “cell” is an ensemble of qubits (quantum bits). It is found that to store an arbitrary real number it is sufficient to use four of these ensembles and the arithmetical operations can be implemented by fixed quantum circuits.

UDC: 510

Received: 03.11.1998

DOI: 10.4213/mzm719


 English version:
Mathematical Notes, 2001, 70:1, 53–60

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