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arXiv · 2410.11918

A general statistical approach to quantum algorithms in a circuit model based on the expectation and standard deviation of each gate separately

Tomer Shushi
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Abstract

Recently, there has been a growing literature exploring the generalization of quantum algorithms, such that different quantum algorithms are special examples of a more fundamental structure. In this short paper, we provide a general approach to describe quantum algorithms as a quantum state with amplitudes that are constructed from the expected value and standard deviation of each quantum gate or a sub-sequence of gates in the algorithm. The proposed statistical-based description relies on the celebrated Aharonov-Vaidman identity. We present a more fundamental identity that, unlike the previous one, allows us to switch the basis of the states into a desired form.

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Tomer Shushi. 2024-10-15. A general statistical approach to quantum algorithms in a circuit model based on the expectation and standard deviation of each gate separately. https://arxiv.org/abs/2410.11918

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