| Home > Publications database > Expressive equivalence of classical and quantum restricted Boltzmann machines > print |
| 001 | 625909 | ||
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| 024 | 7 | _ | |a 10.1038/s42005-025-02353-1 |2 doi |
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| 100 | 1 | _ | |a Demidik, Maria |0 P:(DE-H253)PIP1101939 |b 0 |e Corresponding author |u desy |
| 245 | _ | _ | |a Expressive equivalence of classical and quantum restricted Boltzmann machines |
| 260 | _ | _ | |a London |c 2025 |b Springer Nature |
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| 500 | _ | _ | |a 11 pages, 4 figures; supplementary material 6 pages, 1 figure |
| 520 | _ | _ | |a The development of generative models for quantum machine learning has faced challenges such as trainability and scalability. A notable example is the quantum restricted Boltzmann machine (QRBM), where non-commuting Hamiltonians make gradient evaluation computationally demanding, even on fault-tolerant devices. In this work, we propose a semi-quantum restricted Boltzmann machine (sqRBM), a model designed to overcome difficulties associated with QRBMs. The sqRBM Hamiltonian commutes in the visible subspace while remaining non-commuting in the hidden subspace, enabling us to derive closed-form expressions for output probabilities and gradients. Our analysis shows that, for learning a given distribution, a classical model requires three times more hidden units than an sqRBM. Numerical simulations with up to 100 units validate this prediction. With reduced resource demands, sqRBMs provide a feasible framework for early quantum generative models. |
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| 700 | 1 | _ | |a Tüysüz, Cenk |b 1 |
| 700 | 1 | _ | |a Piatkowski, Nico |b 2 |
| 700 | 1 | _ | |a Grossi, Michele |0 0000-0003-1718-1314 |b 3 |
| 700 | 1 | _ | |a Jansen, Karl |0 P:(DE-H253)PIP1003636 |b 4 |e Corresponding author |u desy |
| 773 | _ | _ | |a 10.1038/s42005-025-02353-1 |g Vol. 8, no. 1, p. 413 |0 PERI:(DE-600)2921913-9 |n 1 |p 413 |t Communications Physics |v 8 |y 2025 |x 2399-3650 |
| 787 | 0 | _ | |a Demidik, Maria et.al. |d 2025 |i IsParent |0 PUBDB-2026-00191 |r arXiv:2502.17562 |t Expressive equivalence of classical and quantum restricted Boltzmann machines |
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