STABILITY OF THE QUANTUM FOURIER TRANSFORMATION ON THE ISING QUANTUM COMPUTER

Author:

CELARDO GIUSEPPE LUCA1,PINEDA CARLOS2,ŽNIDARIČ MARKO3

Affiliation:

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

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

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. 1/f NOISE IN ISING QUANTUM COMPUTERS;Fluctuation and Noise Letters;2014-03

2. Quantum Computation in a Ising Spin Chain Taking into Account Second Neighbor Couplings;International Journal of Theoretical Physics;2007-12-04

3. Decoherence of two-qubit systems: a random matrix description;New Journal of Physics;2007-04-27

4. Dynamics of Loschmidt echoes and fidelity decay;Physics Reports;2006-11

5. Verification of generic fidelity recovery in a dynamical system;Physical Review E;2006-06-15

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