From the 1 of 9 linked papers with an AI index.
9 papers
Optimal tomography of bosonic and fermionic Gaussian states
Senrui Chen, Marco Fanizza, Filippo Girardi +4
The paper determines the exact sample complexity for learning bosonic and fermionic Gaussian quantum states, showing that a number of copies scaling quadratically with the number o…
Random purification channel made simple
Filippo Girardi, Francesco Anna Mele, Ludovico Lami
The recently introduced random purification channel, which converts i.i.d. copies of any mixed quantum state into a uniform convex combination of i.i.d. copies of its purif…
Random Stinespring superchannel: converting channel queries into dilation isometry queries
Filippo Girardi, Francesco Anna Mele, Haimeng Zhao +2
The recently introduced random purification channel, which converts copies of an arbitrary mixed quantum state into copies of the same uniformly random purification, has em…
Zero-Error List Decoding for Classical-Quantum Channels
Marco Dalai, Filippo Girardi, Ludovico Lami
The aim of this work is to study the zero-error capacity of pure-state classical-quantum channels in the setting of list decoding. We provide an achievability bound for list-size t…
Tumula information and doubly minimized Petz Renyi lautum information
Lukas Schmitt, Filippo Girardi, Laura Burri
We study a doubly minimized variant of the lautum information - a reversed analogue of the mutual information - defined as the minimum relative entropy between any product state an…
Improved Lower Bounds for Learning Quantum Channels in Diamond Distance
Aadil Oufkir, Filippo Girardi
We prove that learning an unknown quantum channel with input dimension , output dimension , and Choi rank to diamond distance requires $ Ω\!\left( \fra…