6 papers
Convex combinations of bosonic pure-loss channels
Giuseppe Catalano, Marco Fanizza, Francesco Anna Mele +2
The pure-loss channel is a fundamental model for describing noise in bosonic quantum platforms. It is characterised by a single parameter, the transmissivity, which quantifies the…
Exponential concentration of fluctuations in mean-field boson dynamics
Matias Gabriel Ginzburg, Simone Rademacher, Giacomo De Palma
We study the mean-field dynamics of a system of interacting bosons starting from an initially condensated state. For a broad class of mean-field Hamiltonians, including models…
Failure of the mean-field Hartree approximation for a bosonic many-body system with non-Hermitian Hamiltonian
Matias Ginzburg, Simone Rademacher, Giacomo De Palma
Mean-field Hartree theory is a central tool for reducing interacting many-body dynamics to an effective nonlinear one-particle evolution. This approximation has been employed also…
Non-iid hypothesis testing: from classical to quantum
Giacomo De Palma, Marco Fanizza, Connor Mowry +1
We study hypothesis testing (aka state certification) in the non-identically distributed setting. A recent work (Garg et al. 2023) considered the classical case, in which one is gi…
Solving MNIST with a globally trained Mixture of Quantum Experts
Paolo Alessandro Xavier Tognini, Leonardo Banchi, Giacomo De Palma
We propose a new quantum neural network for image classification, which is able to classify the parity of the MNIST dataset with full resolution with a test accuracy of up to 97.5%…
Mean-field limit from general mixtures of experts to quantum neural networks
Anderson Melchor Hernandez, Davide Pastorello, Giacomo De Palma
In this work, we study the asymptotic behavior of Mixture of Experts (MoE) trained via gradient flow on supervised learning problems. Our main result establishes the propagation of…