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20112026
most citedWell posedness of Lagrangian flows and continuity equations in metric measure spaces

94 citations · 448 across the 40 of their papers we have counts for

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quant-ph2021★ 1 cited

The generalized strong subadditivity of the von Neumann entropy for bosonic quantum systems

Giacomo De Palma, Dario Trevisan

We prove a generalization of the strong subadditivity of the von Neumann entropy for bosonic quantum Gaussian systems. Such generalization determines the minimum values of linear c…

quant-ph2020★ 90 cited

The Quantum Wasserstein Distance of Order 1

Giacomo De Palma, Milad Marvian, Dario Trevisan +1

We propose a generalization of the Wasserstein distance of order 1 to the quantum states of qudits. The proposal recovers the Hamming distance for the vectors of the canonical…

quant-ph2016★ 31 cited

Gaussian states minimize the output entropy of one-mode quantum Gaussian channels

Giacomo De Palma, Dario Trevisan, Vittorio Giovannetti

We prove the longstanding conjecture stating that Gaussian thermal input states minimize the output von Neumann entropy of one-mode phase-covariant quantum Gaussian channels among…

quant-ph2016★ 31 cited

Gaussian States Minimize the Output Entropy of the One-Mode Quantum Attenuator

Giacomo De Palma, Dario Trevisan, Vittorio Giovannetti

We prove that Gaussian thermal input states minimize the output von Neumann entropy of the one-mode Gaussian quantum-limited attenuator for fixed input entropy. The Gaussian quantu…

quant-ph2015★ 37 cited

Passive states optimize the output of bosonic Gaussian quantum channels

Giacomo De Palma, Dario Trevisan, Vittorio Giovannetti

An ordering between the quantum states emerging from a single mode gauge-covariant bosonic Gaussian channel is proven. Specifically, we show that within the set of input density ma…