To use this module you need to make few modifications in your component's meta.json:
{
..
"require" : "composer",
"require_composer" : {
"react/react" : "~0.4"
},
..
}
NOTE: do not forget to specify other required fields of meta.json as specified in documentation.
Now if someone will install your component - it will need Composer package, and if it is installed - all composer packages will be installed and become available everywhere automatically.