11 papers
Quantum channel tomography: optimal bounds and a Heisenberg-to-classical phase transition
Kean Chen, Filippo Girardi, Aadil Oufkir +2
How many black-box queries to a quantum channel are needed to learn its full classical description? This question lies at the heart of quantum channel tomography (also known as qua…
Certifying and learning local quantum Hamiltonians
Andreas Bluhm, Matthias C. Caro, Francisco Escudero Gutiérrez +4
In this work, we study the problems of certifying and learning quantum -local Hamiltonians, for a constant . Our main contributions are as follows: - Certification of Hamilto…
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…
Hamiltonian Property Testing
Andreas Bluhm, Matthias C. Caro, Aadil Oufkir
Locality is a fundamental feature of many physical time evolutions. Assumptions on locality and related structural properties also underlie recently proposed procedures for learnin…
Shadow Tomography Against Adversaries
Maryam Aliakbarpour, Vladimir Braverman, Nai-Hui Chia +4
We study single-copy shadow tomography in the adversarial robust setting, where the goal is to learn the expectation values of observables with …
Quantum umlaut information
Filippo Girardi, Aadil Oufkir, Bartosz Regula +3
We study the quantum umlaut information, a correlation measure defined for bipartite quantum states as a reversed variant of the quantum mutual information: $U(A;B)_Ï= \…