Minimax quantum state discrimination
量子物理
2025-04-02 v5
摘要
We derive the optimal measurement for quantum state discrimination without a priori probabilities, i.e. in a minimax strategy instead of the usually considered Bayesian one. We consider both minimal-error and unambiguous discrimination problems, and provide the relation between the optimal measurements according to the two schemes. We show that there are instances in which the minimum risk cannot be achieved by an orthogonal measurement, and this is a common feature of the minimax estimation strategy.
引用
@article{arxiv.quant-ph/0504048,
title = {Minimax quantum state discrimination},
author = {Giacomo Mauro D'Ariano and Massimiliano Federico Sacchi and Jonas Kahn},
journal= {arXiv preprint arXiv:quant-ph/0504048},
year = {2025}
}
备注
5 pages, no figures; the title is changed. Some improvements. Corollary 1 has been corrected (now Remark 1). Phys. Rev. A in press