  In this letter, we use quantum quasi-shuffle algebras to construct
Rota-Baxter algebras, as well as tridendriform algebras. We also propose the
notion of braided Rota-Baxter algebras, which is the relevant object of
Rota-Baxter algebras in a braided tensor category. Examples of such new
algebras are provided by using quantum multi-brace algebras in a category of
Yetter-Drinfeld modules.
