Benchmarking Quantum Surrogate Models on Scarce and Noisy Data
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arXiv
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| Autori principali: | , , , , , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866911806099816448 |
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| author | Stein, Jonas Poppel, Michael Adamczyk, Philip Fabry, Ramona Wu, Zixin Kölle, Michael Nüßlein, Jonas Schuman, Daniëlle Altmann, Philipp Ehmer, Thomas Narasimhan, Vijay Linnhoff-Popien, Claudia |
| author_facet | Stein, Jonas Poppel, Michael Adamczyk, Philip Fabry, Ramona Wu, Zixin Kölle, Michael Nüßlein, Jonas Schuman, Daniëlle Altmann, Philipp Ehmer, Thomas Narasimhan, Vijay Linnhoff-Popien, Claudia |
| contents | Surrogate models are ubiquitously used in industry and academia to efficiently approximate given black box functions. As state-of-the-art methods from classical machine learning frequently struggle to solve this problem accurately for the often scarce and noisy data sets in practical applications, investigating novel approaches is of great interest. Motivated by recent theoretical results indicating that quantum neural networks (QNNs) have the potential to outperform their classical analogs in the presence of scarce and noisy data, we benchmark their qualitative performance for this scenario empirically. Our contribution displays the first application-centered approach of using QNNs as surrogate models on higher dimensional, real world data. When compared to a classical artificial neural network with a similar number of parameters, our QNN demonstrates significantly better results for noisy and scarce data, and thus motivates future work to explore this potential quantum advantage in surrogate modelling. Finally, we demonstrate the performance of current NISQ hardware experimentally and estimate the gate fidelities necessary to replicate our simulation results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_05042 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Benchmarking Quantum Surrogate Models on Scarce and Noisy Data Stein, Jonas Poppel, Michael Adamczyk, Philip Fabry, Ramona Wu, Zixin Kölle, Michael Nüßlein, Jonas Schuman, Daniëlle Altmann, Philipp Ehmer, Thomas Narasimhan, Vijay Linnhoff-Popien, Claudia Quantum Physics Emerging Technologies Surrogate models are ubiquitously used in industry and academia to efficiently approximate given black box functions. As state-of-the-art methods from classical machine learning frequently struggle to solve this problem accurately for the often scarce and noisy data sets in practical applications, investigating novel approaches is of great interest. Motivated by recent theoretical results indicating that quantum neural networks (QNNs) have the potential to outperform their classical analogs in the presence of scarce and noisy data, we benchmark their qualitative performance for this scenario empirically. Our contribution displays the first application-centered approach of using QNNs as surrogate models on higher dimensional, real world data. When compared to a classical artificial neural network with a similar number of parameters, our QNN demonstrates significantly better results for noisy and scarce data, and thus motivates future work to explore this potential quantum advantage in surrogate modelling. Finally, we demonstrate the performance of current NISQ hardware experimentally and estimate the gate fidelities necessary to replicate our simulation results. |
| title | Benchmarking Quantum Surrogate Models on Scarce and Noisy Data |
| topic | Quantum Physics Emerging Technologies |
| url | https://arxiv.org/abs/2306.05042 |