Recent advances in cultural psychology elucidated a number of cultural differences in diverse psychological characteristics and behaviors from perceptions, and economic decisions to religiosity. Also, quantum models of cognition and decision making have been developed to mathematically characterize perceptions, and human judgement and decision making. This study proposes cultural quantum modelling approaches to cultural psychology and neuroscience, by utilizing the mathematical model of quantum cognition and decisions in psychology, economics, and decision science. This approach may help better quantitatively rigorous understandings of cultural differences between Westerners and Easterners, Catholics and Protestants, and other cross-cultural variations in psychological and behavioral characteristics and normative principles of rationality.