The multi-mode quantum Entropy Power Inequality

TL;DR

This paper introduces a quantum entropy power inequality that provides a lower bound on output entropy in bosonic scattering processes, with significant implications for quantum information theory.

Contribution

It presents the first quantum version of the entropy power inequality, extending classical information theory to quantum bosonic systems.

Findings

Establishes a fundamental lower bound on output entropy in quantum scattering.

Highlights potential applications in quantum information processing.

Provides theoretical foundations for future quantum entropy inequalities.

Abstract

The quantum version of a fundamental entropic data-processing inequality is presented. It establishes a lower bound for the entropy that can be generated in the output channels of a scattering process, which involves a collection of independent input bosonic modes (e.g., the modes of the electromagnetic field). The impact of this inequality in quantum information theory is potentially large and some relevant implications are considered in this work.