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Quantum algorithm for optical template recognition with noise filtering

Gernot Schaller·Ralf Schützhold
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Abstract

We propose a probabilistic quantum algorithm that decides whether a monochrome picture matches a given template (or one out of a set of templates). As a major advantage to classical pattern recognition, the algorithm just requires a few incident photons and is thus suitable for very sensitive pictures (similar to the Elitzur-Vaidman problem). Furthermore, for a $2^{n}\times 2^{m}$ image, $\ord(n+m)$ qubits are sufficient. Using the quantum Fourier transform, it is possible to improve the fault tolerance of the quantum algorithm by filtering out small-scale noise in the picture. For example images with $512\times512$ pixels, we have numerically simulated the unitary operations in order to demonstrate the applicability of the algorithm and to analyze its fault tolerance.

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Gernot Schaller, Ralf Schützhold. 2006-07-21. Quantum algorithm for optical template recognition with noise filtering. https://doi.org/10.1103/physreva.74.012303

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