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- W4287905360 abstract "Quantum classifiers are trainable quantum circuits used as machine learning models. The first part of the circuit implements a quantum feature map that encodes classical inputs into quantum states, embedding the data in a high-dimensional Hilbert space; the second part of the circuit executes a quantum measurement interpreted as the output of the model. Usually, the measurement is trained to distinguish quantum-embedded data. We propose to instead train the first part of the circuit -- the embedding -- with the objective of maximally separating data classes in Hilbert space, a strategy we call quantum metric learning. As a result, the measurement minimizing a linear classification loss is already known and depends on the metric used: for embeddings separating data using the l1 or trace distance, this is the Helstrom measurement, while for the l2 or Hilbert-Schmidt distance, it is a simple overlap measurement. This approach provides a powerful analytic framework for quantum machine learning and eliminates a major component in current models, freeing up more precious resources to best leverage the capabilities of near-term quantum information processors." @default.
- W4287905360 created "2022-07-26" @default.
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- W4287905360 date "2020-01-10" @default.
- W4287905360 modified "2023-10-14" @default.
- W4287905360 title "Quantum embeddings for machine learning" @default.
- W4287905360 doi "https://doi.org/10.48550/arxiv.2001.03622" @default.
- W4287905360 hasPublicationYear "2020" @default.
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