24 citations · 42 across the 4 of their papers we have counts for
4 papers
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…
The multi-mode quantum Entropy Power Inequality
Giacomo De Palma, Andrea Mari, Seth Lloyd +1
The quantum version of a fundamental entropic data-processing inequality is presented. It establishes a lower bound for the entropy that can be generated in the output channels of…
Classical capacity of Gaussian thermal memory channels
Giacomo De Palma, Andrea Mari, Vittorio Giovannetti
The classical capacity of phase-invariant Gaussian channels has been recently determined under the assumption that such channels are memoryless. In this work we generalize this res…