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Realistic lower bounds for the factorization time of large numbers on a quantum computer

M. B. Plenio·P. L. Knight
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Abstract

We investigate the time T a quantum computer requires to factorize a given number dependent on the number of bits L required to represent this number. We stress the fact that in most cases one has to take into account that the execution time of a single quantum gate is related to the decoherence time of the qubits that are involved in the computation. Although exhibited here only for special systems, this inter-dependence of decoherence and computation time seems to be a restriction in many current models for quantum computers and leads to the result that the computation time T scales much stronger with L than previously expected.

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M. B. Plenio, P. L. Knight. 1995-12-02. Realistic lower bounds for the factorization time of large numbers on a quantum computer. https://doi.org/10.1103/physreva.53.2986

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