Can I read A New Fidelity of Quantum Channel Evolution and Its Geometric Interpretation on EtoBox?

A New Fidelity of Quantum Channel Evolution and Its Geometric Interpretation by Yan, Xiaojing; Sun, Xiao; Du, Mingming; Tang, Jiashan is a scholarly article available to read on EtoBox.

What is A New Fidelity of Quantum Channel Evolution and Its Geometric Interpretation about?

Fidelity is crucial for characterizing transformations of quantum states under various quantum channels, which can be served as a fundamental tool in resource theories. Firstly, we define an $\alpha$-$z$-fidelity as a significant quantity in quantum information theory and give the properties of the fidelity with orders $\alpha$ and $z$. Secondly, by analyzing the $\alpha$-$z$-fidelity under the evolution of different types of quantum channels (single orbit, all quantum channels, unitary quantum channels, and mixed unitary quantum channels), we propose a limit formula for the maximum and the minimum of the $\alpha$-$z$-fidelity. In addition, we have extended the $\alpha$-$z$-R\'enyi relative entropy, providing new insights into its relevance for resource quantification. Finally, we offer a geometric interpretation for measuring the distance between quantum states, contributing to the broader understanding of the operational and transformative power of dynamical quantum resources across various physical settings.

Author

Yan, Xiaojing; Sun, Xiao; Du, Mingming; Tang, Jiashan

Published

2024

Language

EN