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arXiv · 1503.08806

Simplified implementation of the quantum Fourier transform with Ising-type Hamiltonians: Example with ion traps

Svetoslav S. Ivanov·Michael Johanning·Christof Wunderlich
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Abstract

We propose a simplified mathematical construction of the quantum Fourier transform which is suited for systems described by Ising-type Hamiltonians. By contrast to the standard Cooley-Tuckey scheme, which prescribes sequences of CPHASE gates, our implementation is based on one-qubit gates and a free evolution process. We also show how to obtain a quadratic speed-up by applying the conditional interactions simultaneously. Thus rather than O($N^2$) our implementation time scales as O($N$). Finally, we show a realization of our method with homogeneous microwave driven ion traps in a magnetic field with gradient.

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Svetoslav S. Ivanov, Michael Johanning, Christof Wunderlich. 2015-03-30. Simplified implementation of the quantum Fourier transform with Ising-type Hamiltonians: Example with ion traps. https://arxiv.org/abs/1503.08806

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