Trainability barriers and opportunities in quantum generative modeling
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arXiv
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866910054227116032 |
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| author | Rudolph, Manuel S. Lerch, Sacha Thanasilp, Supanut Kiss, Oriel Shaya, Oxana Vallecorsa, Sofia Grossi, Michele Holmes, Zoë |
| author_facet | Rudolph, Manuel S. Lerch, Sacha Thanasilp, Supanut Kiss, Oriel Shaya, Oxana Vallecorsa, Sofia Grossi, Michele Holmes, Zoë |
| contents | Quantum generative models provide inherently efficient sampling strategies and thus show promise for achieving an advantage using quantum hardware. In this work, we investigate the barriers to the trainability of quantum generative models posed by barren plateaus and exponential loss concentration. We explore the interplay between explicit and implicit models and losses, and show that using quantum generative models with explicit losses such as the KL divergence leads to a new flavour of barren plateaus. In contrast, the implicit Maximum Mean Discrepancy loss can be viewed as the expectation value of an observable that is either low-bodied and provably trainable, or global and untrainable depending on the choice of kernel. In parallel, we find that solely low-bodied implicit losses cannot in general distinguish high-order correlations in the target data, while some quantum loss estimation strategies can. We validate our findings by comparing different loss functions for modelling data from High-Energy-Physics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_02881 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Trainability barriers and opportunities in quantum generative modeling Rudolph, Manuel S. Lerch, Sacha Thanasilp, Supanut Kiss, Oriel Shaya, Oxana Vallecorsa, Sofia Grossi, Michele Holmes, Zoë Quantum Physics Machine Learning High Energy Physics - Experiment Quantum generative models provide inherently efficient sampling strategies and thus show promise for achieving an advantage using quantum hardware. In this work, we investigate the barriers to the trainability of quantum generative models posed by barren plateaus and exponential loss concentration. We explore the interplay between explicit and implicit models and losses, and show that using quantum generative models with explicit losses such as the KL divergence leads to a new flavour of barren plateaus. In contrast, the implicit Maximum Mean Discrepancy loss can be viewed as the expectation value of an observable that is either low-bodied and provably trainable, or global and untrainable depending on the choice of kernel. In parallel, we find that solely low-bodied implicit losses cannot in general distinguish high-order correlations in the target data, while some quantum loss estimation strategies can. We validate our findings by comparing different loss functions for modelling data from High-Energy-Physics. |
| title | Trainability barriers and opportunities in quantum generative modeling |
| topic | Quantum Physics Machine Learning High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2305.02881 |