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arXiv:2312.16877 · Russian Microelectronics

Quantum Circuit for Random Forest Prediction

Liliya Safina, Kamil Ravilevich Khadiev, I. Zinnatullin, Aliya Khadieva

Published Dec 1, 2023• 3 citations
arXivHTMLPDF

Abstract

In this work, we present a quantum circuit for a binary classification prediction algorithm using a random forest model. The quantum prediction algorithm is presented in our previous works. We construct a circuit and implement it using qiskit tools (python module for quantum programming). One of our goals is reducing the number of basic quantum gates (elementary gates). The set of basic quantum gates which we use in this work consists of single-qubit gates and a controlled NOT gate. The number of CNOT gates in our circuit is estimated by $$O{\text{(}}{{2}^{{n{\kern 1pt} + {\kern 1pt} 2h{\kern 1pt} + {\kern 1pt} 1}}}{\text{)}}$$ , when trivial circuit decomposition techniques give $$O({{4}^{{\left| X \right|{\kern 1pt} + {\kern 1pt} n{\kern 1pt} + {\kern 1pt} h{\kern 1pt} + {\kern 1pt} 2}}})$$ CNOT gates, where $$n$$ is the number of trees in a random forest model, $$h$$ is a tree height and $$\left| X \right|$$ is the length of attributes of an input object $$X$$ . The prediction process returns an index of the corresponding class for the input $$X$$ .

DOI
10.1134/s1063739723600619

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Quantum computation has attracted much attention, among other things, due to its potentialities to solve classical NP problems in polynomial time. For this reason, there has been a growing interest to build a quantum computer. One of the basic steps is to implement the quantum circuit able to realize a given unitary operation. This task has been solved using decomposition of unitary matrices in simpler ones till reach quantum circuits having only single-qubits and CNOTs gates. Usually the goal is to find the minimal quantum circuit able to solve a given problem. In this paper we go in a different direction. We propose a general quantum circuit able to implement any specific quantum circuit by just setting correctly the parameters. In other words, we propose a programmable quantum circuit. This opens the possibility to construct a real quantum computer where several different quantum operations can be realized in the same hardware. The configuration is proposed and its optical implementation is discussed.
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