Gaussian states minimize the output entropy of one-mode quantum Gaussian channels. - Giacomo De Palma; Dario Trevisan; Vittorio Giovannetti (CoRR, 2016)

Passive States Optimize the Output of Bosonic Gaussian Quantum Channels. - Giacomo De Palma; Dario Trevisan; Vittorio Giovannetti (IEEE Trans. Inf. Theory, 2016)

The Entropy Power Inequality with quantum memory. - Giacomo De Palma; Dario Trevisan (CoRR, 2017)

Uncertainty relations with quantum memory for the Wehrl entropy. - Giacomo De Palma (CoRR, 2017)

Gaussian States Minimize the Output Entropy of the One-Mode Quantum Attenuator. - Giacomo De Palma; Dario Trevisan; Vittorio Giovannetti (IEEE Trans. Inf. Theory, 2017)

The conditional Entropy Power Inequality for quantum additive noise channels. - Giacomo De Palma; Stefan Huber (CoRR, 2018)

Gaussian optimizers for entropic inequalities in quantum information. - Giacomo De Palma; Dario Trevisan; Vittorio Giovannetti; Luigi Ambrosio (CoRR, 2018)

The Entropy Power Inequality with quantum conditioning. - Giacomo De Palma (CoRR, 2018)

Deep neural networks are biased towards simple functions. - Giacomo De Palma; Bobak Toussi Kiani; Seth Lloyd (CoRR, 2018)

Random deep neural networks are biased towards simple functions. - Giacomo De Palma; Bobak Toussi Kiani; Seth Lloyd (NeurIPS, 2019)

New Lower Bounds to the Output Entropy of Multi-Mode Quantum Gaussian Channels. - Giacomo De Palma (IEEE Trans. Inf. Theory, 2019)

Quantum advantage for differential equation analysis. - Bobak Toussi Kiani; Giacomo De Palma; Dirk R. Englund; William M. Kaminsky; Milad Marvian; Seth Lloyd (CoRR, 2020)

Adversarial Robustness Guarantees for Random Deep Neural Networks. - Giacomo De Palma; Bobak Toussi Kiani; Seth Lloyd (ICML, 2021)

Quantum Earth Mover's Distance: A New Approach to Learning Quantum Data. - Bobak Toussi Kiani; Giacomo De Palma; Milad Marvian; Zi-Wen Liu; Seth Lloyd (CoRR, 2021)

Quantum algorithms for group convolution, cross-correlation, and equivariant transformations. - Grecia Castelazo; Quynh The Nguyen; Giacomo De Palma; Dirk R. Englund; Seth Lloyd; Bobak Toussi Kiani (CoRR, 2021)

The Quantum Wasserstein Distance of Order 1. - Giacomo De Palma; Milad Marvian; Dario Trevisan; Seth Lloyd (IEEE Trans. Inf. Theory, 2021)

Trained quantum neural networks are Gaussian processes. - Filippo Girardi; Giacomo De Palma (CoRR, 2024)

Optical Fibers With Memory Effects and Their Quantum Communication Capacities. - Francesco Anna Mele; Giacomo De Palma; Marco Fanizza; Vittorio Giovannetti; Ludovico Lami (IEEE Trans. Inf. Theory, 2024)

Mean-field limit from general mixtures of experts to quantum neural networks. - Anderson Melchor Hernandez; Davide Pastorello; Giacomo De Palma (CoRR, 2025)

The Multimode Conditional Quantum Entropy Power Inequality and the Squashed Entanglement of the Extreme Multimode Bosonic Gaussian Channels. - Alessandro Falco; Giacomo De Palma (IEEE Trans. Inf. Theory, 2025)