# Quantum Circuit $C^\*$-algebra Net Source: [Quantum Circuit $C^\*$-algebra Net]() Collection index: [llms.txt]() Data updated: 2025-10-25T05:58:06.488Z Authors: Yuka Hashimoto, Ryuichiro Hataya Published: 2024-04-09T11:12:39.000Z ## Abstract This paper introduces quantum circuit $C^\*$-algebra net, which provides a connection between $C^\*$-algebra nets proposed in classical machine learning and quantum circuits. Using $C^\*$-algebra, a generalization of the space of complex numbers, we can represent quantum gates as weight parameters of a neural network. By introducing additional parameters, we can induce interaction among multiple circuits constructed by quantum gates. This interaction enables the circuits to share information among them, which contributes to improved generalization performance in machine learning tasks. As an application, we propose to use the quantum circuit $C^\*$-algebra net to encode classical data into quantum states, which enables us to integrate classical data into quantum algorithms. Numerical results demonstrate that the interaction among circuits improves performance significantly in image classification, and encoded data by the quantum circuit $C^\*$-algebra net are useful for downstream quantum machine learning tasks. ## Recorded benchmark results A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage. ## Original sources and implementation [Original paper]() [PDF]()