This chapter explores a new paradigmatic thinking in financial market behavior, namely, quantum-like framework (QLF), which is a philosophical, mathematical and information-theoretic extension of quantum science formulation to financial market behaviors. Complexity science has already enriched financial market understanding based on network and chaos theories; however, QLF can further enrich such understanding based on a concrete framework of radical uncertainty and ambiguity, which is analogically inspired by quantum physics (rather than any physicalist or reductionist approach). The chapter also provides insights for open quantum system theory-based analysis of financial market interactions, quantum game theory applications and quantum computation applications in financial markets for future.