Publications

James S. Cummins and Natalia G. Berloff, "Vector Ising spin annealer for minimizing Ising Hamiltonians", Commun. Phys. 8, 225 (2025).

Richard Z. Wang et al., "Efficient Computation Using Spatial-Photonic Ising Machines: Utilizing Low-Rank and Circulant Matrix Constraints", Commun. Phys. 8, 86 (2025).

Daniele Veraldi et al., "Fully Programmable Spatial Photonic Ising Machine by Focal Plane Division", Phys. Rev. Lett. 134, 063802 (2025).

James S. Cummins, Hayder Salman, and Natalia G. Berloff, "Ising Hamiltonian minimization: Gain-based computing with manifold reduction of soft spins vs quantum annealing", Phys. Rev. Research 7, 013150 (2025).

Nikita Stroev, Natalia G. Berloff, and Nir Davidson, "Benchmarking the optimization of optical machines with the planted solutions", Commun. Phys. 7, 374 (2024).

Kai Peng et al., "Room temperature polaritonic soft-spin XY Hamiltonian in organic–inorganic halide perovskites", Nanophotonics 13, 2651 (2024).

A. Johnston and N.G. Berloff, "Macroscopic noise amplification by asymmetric dyads in Non-Hermitian Optical Systems for generative diffusion models", Phys. Rev. Letters, 132, 096901 (2024).

N. Stroev and N.G. Berloff, "Analog Photonics Computing for Information Processing, Inference, and Optimization", Adv Quantum Technol. 6, 2300055 (2023). 

Marvin Syed and Natalia G. Berloff,  "Physics-enhanced bifurcation optimisers: All you need is a canonical complex network", IEEE Journal of Selected Topics in Quantum Electronics. 29, 7400406 (2023).

L. Q. English, A. V. Zampetaki, K. P. Kalinin, N. G. Berloff, and P. G. Kevrekidis, "An Ising machine based on networks of subharmonic electrical resonators", Commun. Phys. 5, 333 (2022).

Samuel N. Alperin and Natalia G. Berloff, "Emergence and Ordering of Polygonal Breathers in Polariton Condensates", Phys. Rev. Lett. 129, 015301 (2022).

Kirill P. Kalinin and Natalia G. Berloff, "Computational complexity continuum within Ising formulation of NP problems", Commun Phys. 5, 20 (2022).

Nikita Stroev and Natalia G. Berloff, "Programmable k-local Ising Machines and all-optical Kolmogorov-Arnold Networks on Photonic Platforms", arXiv:2508.17440 (2025).

Jona Nagerl and Natalia G. Berloff, "Higher-Order Kuramoto Oscillator Network for Dense Associative Memory", arXiv:2507.21984 (2025).

Guangyao Li, Richard Z. Wang, and Natalia G. Berloff, "Solving Distance-Based Optimization Problems Using Optical Hardware", arXiv:2507.11378 (2025).

Shuang Liang et al., "Mirror-mediated long-range coupling and robust phase locking of spatially separated exciton-polariton condensates", arXiv:2506.20924 (2025).

Natalia G. Berloff, "Exact Spin Elimination in Ising Hamiltonians and Energy-Based Machine Learning", arXiv:2505.07163 (2025).

Richard Z. Wang et al., "Phase Retrieval via Gain-Based Photonic XY-Hamiltonian Optimization", arXiv:2505.04766 (2025).

Richard Z. Wang and Natalia G. Berloff, "Instantons and Rarefaction Pulses as Pathways to Global Phase Coherence in Gain-Based Optical Networks", arXiv:2505.04031 (2025).

James S. Cummins and Natalia G. Berloff, "A Fully Analog Pipeline for Portfolio Optimization", arXiv:2411.06566 (2024).

James S. Cummins and Natalia G. Berloff, "Complex Vector Gain-Based Annealer for Minimizing XY Hamiltonians" arXiv:2411.02010 (2024).

Airat Kamaletdinov and Natalia G. Berloff, "Coupling Light with Matter for Identifying Dominant Subnetworks " arXiv:2405.17296 (2024).

Ali Momeni et al., "Training of Physical Neural Networks", arXiv:2406.03372 (2024).

Kirill Kalinin et al, Analog Iterative Machine (AIM): using light to solve quadratic optimization problems with mixed variables, https://arxiv.org/abs/2304.12594