Quantum fidelity and relative entropy between unitary orbits

TL;DR

This paper investigates the extremal values of quantum fidelity and relative entropy between unitary orbits, providing explicit formulas and discussing implications for quantum information processing.

Contribution

It derives explicit formulas for the maximum and minimum quantum fidelity and relative entropy between unitary orbits, advancing understanding in quantum information theory.

Findings

Explicit formulas for extremal fidelity and relative entropy between unitary orbits

Analysis of potential applications in quantum computation and information processing

Enhanced understanding of quantum state distinguishability measures

Abstract

Fidelity and relative entropy are two significant quantities in quantum information theory. We study the quantum fidelity and relative entropy under unitary orbits. The maximal and minimal quantum fidelity and relative entropy between two unitary orbits are explicitly derived. The potential applications in quantum computation and information processing are discussed.