Explicit quantum surrogates for quantum kernel models

Fuente: arXiv
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Autori principali: Nakayama, Akimoto, Morisaki, Hayata, Mitarai, Kosuke, Ueda, Hiroshi, Fujii, Keisuke
Natura: Preprint
Pubblicazione: 2024
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author Nakayama, Akimoto
Morisaki, Hayata
Mitarai, Kosuke
Ueda, Hiroshi
Fujii, Keisuke
author_facet Nakayama, Akimoto
Morisaki, Hayata
Mitarai, Kosuke
Ueda, Hiroshi
Fujii, Keisuke
contents Quantum machine learning (QML) leverages quantum states for data encoding, with key approaches being explicit models that use parameterized quantum circuits and implicit models that use quantum kernels. Implicit models often have lower training errors but face issues such as overfitting and high prediction costs, while explicit models can struggle with complex training and barren plateaus. We propose a quantum-classical hybrid algorithm to create an explicit quantum surrogate (EQS) for trained implicit models. This involves diagonalizing an observable from the implicit model and constructing a corresponding quantum circuit using an extended automatic quantum circuit encoding algorithm. The EQS framework reduces prediction costs, provides a powerful strategy to mitigate barren plateau issues, and combines the strengths of both QML approaches.
format Preprint
id arxiv_https___arxiv_org_abs_2408_03000
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Explicit quantum surrogates for quantum kernel models
Nakayama, Akimoto
Morisaki, Hayata
Mitarai, Kosuke
Ueda, Hiroshi
Fujii, Keisuke
Quantum Physics
Quantum machine learning (QML) leverages quantum states for data encoding, with key approaches being explicit models that use parameterized quantum circuits and implicit models that use quantum kernels. Implicit models often have lower training errors but face issues such as overfitting and high prediction costs, while explicit models can struggle with complex training and barren plateaus. We propose a quantum-classical hybrid algorithm to create an explicit quantum surrogate (EQS) for trained implicit models. This involves diagonalizing an observable from the implicit model and constructing a corresponding quantum circuit using an extended automatic quantum circuit encoding algorithm. The EQS framework reduces prediction costs, provides a powerful strategy to mitigate barren plateau issues, and combines the strengths of both QML approaches.
title Explicit quantum surrogates for quantum kernel models
topic Quantum Physics
url https://arxiv.org/abs/2408.03000