Wigner-Yanase skew information-based uncertainty relations for quantum channels

TL;DR

This paper develops tighter uncertainty relations for quantum channels using Wigner-Yanase skew information, providing a complementary perspective to the Heisenberg uncertainty principle.

Contribution

It introduces new, tighter uncertainty relations for quantum channels based on Wigner-Yanase skew information, enhancing previous bounds.

Findings

Derived tight product and sum uncertainty relations

Demonstrated inequalities are tighter than existing ones

Applicable to two quantum channels

Abstract

The Wigner-Yanase skew information stands for the uncertainty about the information on the values of observables not commuting with the conserved quantity. The Wigner-Yanase skew information-based uncertainty relations can be regarded as a complementarity to the conceptual Heisenberg uncertainty principle. We present tight uncertainty relations in both product and summation forms for two quantum channels based on the Wigner-Yanase skew information. We show that our uncertainty inequalities are tighter than the existing ones.