Quantum Algorithm to Estimate the Mean Value of a Function

• URL: http://arxiv.org/abs/2203.03630v1
• Date: Sun, 6 Mar 2022 19:30:57 GMT
• Title: Quantum Algorithm to Estimate the Mean Value of a Function
• Authors: Amanuel Tamirat
• Abstract summary: This paper proposes a quantum circuit for computing the mean value from a given set of numbers or function evaluations. The proposed quantum algorithm estimate the mean value of the function by using superposition, interference, and entanglement phenomena.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: This paper proposes a quantum circuit for computing the mean value from a given set of numbers or function evaluations. Suppose a Quantum Random Access Memory is given as a black-box function, which allows us to store and read the values of a set as quantum states. The proposed quantum algorithm estimate the mean value of the function by using superposition, interference, and entanglement phenomena, in $\mathcal{O}(\log{N})$ complexity or in $\mathcal{O}(1)$ query of the black-box.

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