New perspectives on quantum kernels through the lens of entangled tensor kernels
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911698899697664 |
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| author | Shin, Seongwook Sweke, Ryan Jeong, Hyunseok |
| author_facet | Shin, Seongwook Sweke, Ryan Jeong, Hyunseok |
| contents | Quantum kernel methods are one of the most explored approaches to quantum machine learning. However, the structural properties and inductive bias of quantum kernels are not fully understood. In this work, we introduce the notion of entangled tensor kernels - a generalization of product kernels from classical kernel theory - and show that all embedding quantum kernels can be understood as an entangled tensor kernel. We discuss how this perspective allows one to gain novel insights into both the unique inductive bias of quantum kernels, and potential methods for their dequantization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_20683 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New perspectives on quantum kernels through the lens of entangled tensor kernels Shin, Seongwook Sweke, Ryan Jeong, Hyunseok Quantum Physics Quantum kernel methods are one of the most explored approaches to quantum machine learning. However, the structural properties and inductive bias of quantum kernels are not fully understood. In this work, we introduce the notion of entangled tensor kernels - a generalization of product kernels from classical kernel theory - and show that all embedding quantum kernels can be understood as an entangled tensor kernel. We discuss how this perspective allows one to gain novel insights into both the unique inductive bias of quantum kernels, and potential methods for their dequantization. |
| title | New perspectives on quantum kernels through the lens of entangled tensor kernels |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2503.20683 |