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International Journal of Physics and Mathematics
Peer Reviewed Journal

Vol. 7, Issue 2, Part C (2025)

Comparative study of amplitude versus angle encoding in gate-based quantum machine learning

Author(s):

Shashank Kumar and Ashok Kumar

Abstract:

We investigate two fundamental data encoding strategies for gate-based quantum computers: amplitude encoding and angle encoding. In amplitude encoding, a normalized  -dimensional classical vector is mapped into the probability amplitudes of a  -qubit quantum state, whereas angle encoding uses one or more single-qubit rotation gates per feature to encode data as angles.[1, 2] We construct a toy binary classification dataset with four real-valued features and compare these encoding schemes using a variational quantum classifier (VQC) approach. Our results indicate that angle encoding often yields slightly higher classification accuracy (e.g. 82% vs. 75% in one experiment) at the cost of requiring more qubits, while amplitude encoding compresses features into fewer qubits (2 vs. 4) but demands deeper state-preparation circuits. These findings align with previous studies that report higher accuracy for rotation encodings (e.g.   vs.   in MNIST experiments [3]) and note that the encoding choice acts as a hyperparameter affecting VQC performance. [4]

Pages: 275-278  |  192 Views  95 Downloads


International Journal of Physics and Mathematics
How to cite this article:
Shashank Kumar and Ashok Kumar. Comparative study of amplitude versus angle encoding in gate-based quantum machine learning. Int. J. Phys. Math. 2025;7(2):275-278. DOI: 10.33545/26648636.2025.v7.i2c.159