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Continuous Variable Quantum MNIST Classifiers

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arxiv 2204.01194 v1 pith:WNT6DDCE submitted 2022-04-04 quant-ph cs.LG

Continuous Variable Quantum MNIST Classifiers

classification quant-ph cs.LG
keywords quantumneuralcircuitclassicalclassifierscontinuousmnistnetwork
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper, classical and continuous variable (CV) quantum neural network hybrid multiclassifiers are presented using the MNIST dataset. The combination of cutoff dimension and probability measurement method in the CV model allows a quantum circuit to produce output vectors of size equal to n raised to the power of n where n represents cutoff dimension and m, the number of qumodes. They are then translated as one-hot encoded labels, padded with an appropriate number of zeros. The total of eight different classifiers are built using 2,3,...,8 qumodes, based on the binary classifier architecture proposed in Continuous variable quantum neural networks. The displacement gate and the Kerr gate in the CV model allow for the bias addition and nonlinear activation components of classical neural networks to quantum. The classifiers are composed of a classical feedforward neural network, a quantum data encoding circuit, and a CV quantum neural network circuit. On a truncated MNIST dataset of 600 samples, a 4 qumode hybrid classifier achieves 100% training accuracy.

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  1. Towards Continuous-variable Quantum Neural Networks for Biomedical Imaging

    quant-ph 2025-11 conditional novelty 4.0

    A 4-qumode Gaussian CV-QNN classifies MedMNIST images with accuracy statistically indistinguishable from a 42-parameter classical linear model and a DV-QNN.