30 citations · 87 across the 7 of their papers we have counts for
7 papers
Statistical Characterization of Entanglement Degradation Under Markovian Noise in Composite Quantum Systems
Nunzia Cerrato, Sauro Succi, Giacomo De Palma +1
Understanding how noise degrades entanglement is crucial for the development of reliable quantum technologies. While the Markovian approximation simplifies the analysis of noise, i…
Quantitative convergence of trained quantum neural networks to a Gaussian process
Anderson Melchor Hernandez, Filippo Girardi, Davide Pastorello +1
We study quantum neural networks where the generated function is the expectation value of the sum of single-qubit observables across all qubits. In [Girardi \emph{et al.}, arXiv:24…
The multimode conditional quantum Entropy Power Inequality and the squashed entanglement of the multimode extreme bosonic Gaussian channels
Alessandro Falco, Giacomo De Palma
We prove the multimode conditional quantum Entropy Power Inequality for bosonic quantum systems. This inequality determines the minimum conditional von Neumann entropy of the outpu…
Hamiltonian singular value transformation and inverse block encoding
Seth Lloyd, Bobak T. Kiani, David R. M. Arvidsson-Shukur +5
The quantum singular value transformation is a powerful quantum algorithm that allows one to apply a polynomial transformation to the singular values of a matrix that is embedded a…
Quantum algorithm for nonlinear differential equations
Seth Lloyd, Giacomo De Palma, Can Gokler +5
Quantum computers are known to provide an exponential advantage over classical computers for the solution of linear differential equations in high-dimensional spaces. Here, we pres…
Random deep neural networks are biased towards simple functions
Giacomo De Palma, Bobak Toussi Kiani, Seth Lloyd
We prove that the binary classifiers of bit strings generated by random wide deep neural networks with ReLU activation function are biased towards simple functions. The simplicity…
Gaussian optimizers for entropic inequalities in quantum information
Giacomo De Palma, Dario Trevisan, Vittorio Giovannetti +1
We survey the state of the art for the proof of the quantum Gaussian optimizer conjectures of quantum information theory. These fundamental conjectures state that quantum Gaussian…