theory describes the behavior of a system at atomic and smaller scales. At the beginning of the 20th century, the theory was developed and became one of the most successful theories in physics; for a wide range of the field, the validity of the theory has been verified with high accuracy by experiments. From the beginning, how- ever, quantum mechanics has also supplied an extraordi- nary and even counter-intuitive view of nature: contrary to its success, the predictions by quantum theory are governed by a probability law and its logic is different from that in classical physics, to which we have become accustomed to in our ordinary lives.