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Gaussian entropic inequalities and uncertainty relations for communication and secure quantum key distribution

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Publications

Gaussian optimizers for entropic inequalities in quantum information

Author(s): Giacomo De Palma, Dario Trevisan, Vittorio Giovannetti, Luigi Ambrosio
Published in: Journal of Mathematical Physics, Issue 59/8, 2018, Page(s) 081101, ISSN 0022-2488
DOI: 10.1063/1.5038665

The entropy power inequality with quantum conditioning

Author(s): Giacomo De Palma
Published in: Journal of Physics A: Mathematical and Theoretical, Issue 52/8, 2019, Page(s) 08LT03, ISSN 1751-8113
DOI: 10.1088/1751-8121/aafff4

New Lower Bounds to the Output Entropy of Multi-Mode Quantum Gaussian Channels

Author(s): Giacomo De Palma
Published in: IEEE Transactions on Information Theory, Issue 65/9, 2019, Page(s) 5959-5968, ISSN 0018-9448
DOI: 10.1109/tit.2019.2914434

The conditional entropy power inequality for quantum additive noise channels

Author(s): Giacomo De Palma, Stefan Huber
Published in: Journal of Mathematical Physics, Issue 59/12, 2018, Page(s) 122201, ISSN 0022-2488
DOI: 10.1063/1.5027495

Minimum error probability of quantum illumination

Author(s): Giacomo De Palma, Johannes Borregaard
Published in: Physical Review A, Issue 98/1, 2018, Page(s) 012101, ISSN 2469-9934
DOI: 10.1103/physreva.98.012101

Uncertainty relations with quantum memory for the Wehrl entropy

Author(s): Giacomo De Palma
Published in: Letters in Mathematical Physics, Issue 108/9, 2018, Page(s) 2139-2152, ISSN 0377-9017
DOI: 10.1007/s11005-018-1067-y

The squashed entanglement of the noiseless quantum Gaussian attenuator and amplifier

Author(s): Giacomo De Palma
Published in: submitted to Journal of Mathematical Physics, 2019, ISSN 1089-7658