Quantum Circuit $C^*$-algebra Net

arXiv:2404.06218v1 Announce Type: new
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 …

abstract algebra arxiv circuits cs.lg gates machine machine learning network neural network numbers paper parameters quant-ph quantum quantum gates space type