# Two Gilbert-Varshamov Type Existential Bounds for Asymmetric Quantum Error-Correcting Codes

## TL;DR

This paper presents two new Gilbert-Varshamov type bounds that establish the existence of asymmetric quantum error-correcting codes, advancing the theoretical understanding of quantum code construction.

## Contribution

It introduces two novel bounds specifically tailored for asymmetric quantum codes, filling a gap in quantum coding theory.

## Key findings

- Derived two Gilbert-Varshamov type bounds for asymmetric quantum codes
- Provided theoretical existence criteria for such codes
- Enhanced the understanding of quantum code parameters

## Abstract

In this note we report two versions of Gilbert-Varshamov type existential bounds for asymmetric quantum error-correcting codes.