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Published on: September 5, 2019
Perfect Discrimination in Approximate Quantum Theory of General Probabilistic Theories
Yuuya Yoshida1, Hayato Arai1, Masahito Hayashi1,2,3,4
1Graduate School of Mathematics, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8602, Japan.
Abstract:
As a modern approach for the foundation of quantum theory, existing studies of general probabilistic theories gave various models of states and measurements that are quite different from quantum theory. In this Letter, to seek a more realistic situation, we investigate models approximately close to quantum theory. We define larger measurement classes that are smoothly connected with the class of POVMs via a parameter, and investigate the performance of perfect discrimination. As a result, we give a sufficient condition of perfect discrimination, which shows a significant improvement beyond the class of POVMs.
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