<p>We study how to extend Sanov theorem to the quantum setting. Although a quantum version of the Sanov theorem was proposed in Bjelakovic et al. (Commun. Math. Phys., 260, p.659 (2005)), the classical case of their statement is not the same as Sanov theorem as follows. The original Sanov theorem discusses the behavior of the empirical distribution when the empirical distribution is different from the true distribution, but the above paper studied a problem related to quantum hypothesis testing, whose classical version can be shown by classical Sanov theorem. We introduce a quantum analog of the empirical distribution by combining the empirical distribution based on a specific basis and Schur sampling. Using the above type of quantum analog of the empirical distribution, we propose another quantum version of Sanov theorem.</p>