On Adaptivity in Quantum Testing

Omar Fawzi, Nicolas Flammarion, Aurélien Garivier, Aadil Oufkir

Abstract:

Can adaptive strategies outperform non-adaptive ones for quantum hypothesis selection?
We exhibit problems where adaptive strategies provably reduce the number of required samples by a factor four in the worst case, and possibly more when the actual difficulty of the problem
makes it possible. In addition, we exhibit specific hypotheses classes for which there is a provable polynomial separation between adaptive and non-adaptive strategies -- a specificity of the quantum framework that does not appear in classical testing.

Submission Length: Regular submission (no more than 12 pages of main content)

Assigned Action Editor: ~Peter_Richtarik1

License: Creative Commons Attribution 4.0 International (CC BY 4.0)

Submission Number: 1197