Information-Disturbance theorem and Uncertainty Relation

TL;DR

This paper generalizes the information-disturbance theorem in quantum cryptography, establishing a broader relation between Eve's and Bob's information gains without source restrictions.

Contribution

It removes previous source restrictions, providing a more general and applicable information-disturbance theorem in quantum information theory.

Findings

Established a general relation between Eve's and Bob's information gains.

Extended the applicability of the information-disturbance theorem.

Enhanced understanding of quantum cryptography security proofs.

Abstract

It has been shown that Information-Disturbance theorem can play an important role in security proof of quantum cryptography. The theorem is by itself interesting since it can be regarded as an information theoretic version of uncertainty principle. It, however, has been able to treat restricted situations. In this paper, the restriction on the source is abandoned, and a general information-disturbance theorem is obtained. The theorem relates information gain by Eve with information gain by Bob.