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STABILITY OF THE QUANTUM FOURIER TRANSFORMATION ON THE ISING QUANTUM COMPUTER

GIUSEPPE LUCA CELARDO

Dipartimento di Matematica e Fisica, Università Cattolica, via Musei 41, 25121 Brescia, Italy

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CARLOS PINEDA

Universidad Nacional Autónoma de México, Apdo. Postal 20-364, Mexico D. F. 01000, Mexico

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, and

MARKO ŽNIDARIČ

Physics Department, Faculty of Mathematics and Physics, University of Ljubljana, Slovenia

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https://doi.org/10.1142/S0219749905001122Cited by:6 (Source: Crossref)

Abstract

We analyze the influence of errors on the implementation of the quantum Fourier transformation. Two kinds of errors are studied: (i) systematic errors due to off-resonant transitions and (ii) errors due to an external perturbation. The scaling of errors with system parameters and the number of qubits is analyzed. To suppress off-resonant transitions, we use correcting pulses while in order to suppress errors due to an external perturbation, we use an improved quantum Fourier transformation algorithm. As a result, the fidelity of quantum computation is increased by several orders of magnitude and is thus stable in a much wider range of physical parameters.

Keywords:

PACS: 03.67.Lx, 03.67.Pp, 75.10.Pq

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