Entropy gain in $p$-adic quantum channels

TL;DR

This paper introduces a $p$-adic quantum Gaussian channel, calculates its entropy gain, and derives an adelic formula for this entropy change, contributing to the understanding of quantum information in $p$-adic settings.

Contribution

It proposes a new $p$-adic quantum Gaussian channel model and derives an adelic formula for its entropy gain, advancing quantum information theory in non-Archimedean contexts.

Findings

Entropy gain for the $p$-adic quantum Gaussian channel is calculated.

An adelic formula for the entropy gain is derived.

The work extends quantum information concepts to $p$-adic frameworks.

Abstract

The construction of the $p$-adic quantum Gaussian channel is suggested. Entropy gain is calculated. The adelic formula for the entropy gain is obtained.