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Nondigital implementation of the arithmetic of real numbers by means of quantum computer media. (English. Russian original) Zbl 1025.81009
Math. Notes 70, No. 1, 53-60 (2001); translation from Mat. Zametki 70, No. 1, 59-67 (2001).
Summary: 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.
MSC:
81P68 Quantum computation
68Q05 Models of computation (Turing machines, etc.) (MSC2010)
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