Chernoff Bound for Quantum Operations is Faithful
Year: 2017
Type: preprint
Abstract: We consider the problem of testing two quantum hypotheses of quantum operations in the setting of many uses where an arbitrary prior distribution is given. The concept of the Chernoff bound for quantum operations is investigated to track the minimal average probability of error of discriminating two quantum operations asymptotically. We show that the Chernoff bound is faithful in the sense that it is finite if and only if the two quantum operations can not be distinguished perfectly. More precisely, upper bounds of the Chernoff bound for quantum operations are provided. We then generalize these results to multiple Chernoff bound for quantum operations.
Source: arXiv (Cornell University)
Authors: Nengkun Yu, Li Zhou
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2610968257