guest ::
| Home > Publications database > Expressive equivalence of classical and quantum restricted Boltzmann machines |
| Home > Publications database > Expressive equivalence of classical and quantum restricted Boltzmann machines |
| Preprint | PUBDB-2026-00191 |
; ; ; ;
2025
This record in other databases: 
Report No.: arXiv:2502.17562
Abstract: 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.
|
The record appears in these collections: |
Journal Article
Expressive equivalence of classical and quantum restricted Boltzmann machines
Communications Physics 8(1), 413 (2025) [10.1038/s42005-025-02353-1]
Files Fulltext by arXiv.org
BibTeX |
EndNote:
XML,
Text |
RIS
PDF