71 citations · 191 across the 15 of their papers we have counts for
6 papers · 1 filter
Quantum polar decomposition algorithm
Seth Lloyd, Samuel Bosch, Giacomo De Palma +5
The polar decomposition for a matrix is , where is a positive Hermitian matrix and is unitary (or, if is not square, an isometry). This paper shows that the a…
The conditional entropy power inequality for quantum additive noise channels
Giacomo De Palma, Stefan Huber
We prove the quantum conditional Entropy Power Inequality for quantum additive noise channels. This inequality lower bounds the quantum conditional entropy of the output of an addi…
The minimum error probability of quantum illumination
Giacomo De Palma, Johannes Borregaard
Quantum illumination is a technique for detecting the presence of a target in a noisy environment by means of a quantum probe. We prove that the two-mode squeezed vacuum state is t…
Gaussian optimizers and other topics in quantum information
Giacomo De Palma
The main topic of this thesis is the proof of two fundamental entropic inequalities for quantum Gaussian channels. Quantum Gaussian channels model the propagation of electromagneti…
Passive states as optimal inputs for single-jump lossy quantum channels
Giacomo De Palma, Andrea Mari, Seth Lloyd +1
The passive states of a quantum system minimize the average energy among all the states with a given spectrum. We prove that passive states are the optimal inputs of single-jump lo…
Normal form decomposition for Gaussian-to-Gaussian superoperators
Giacomo De Palma, Andrea Mari, Vittorio Giovannetti +1
In this paper we explore the set of linear maps sending the set of quantum Gaussian states into itself. These maps are in general not positive, a feature which can be exploited as…