On Adaptivity in Quantum Testing

Published: 01 Sept 2023, Last Modified: 01 Sept 2023Accepted by TMLREveryoneRevisionsBibTeX
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.
License: Creative Commons Attribution 4.0 International (CC BY 4.0)
Submission Length: Regular submission (no more than 12 pages of main content)
Assigned Action Editor: ~Peter_Richtarik1
Submission Number: 1197