A novel definition for making memory in quantum computing based on the Bloch sphereis proposed.(1) We discuss memory of functions.We store the property of a function $f$ itself by means of the unitary operation $U_f$. Therefore, we write function data on the Bloch sphere. In addition, we recall the property of the function $f$ by means of the same unitary operation $U_f$ as the above. That is, we read data from the Bloch sphere.We discuss that we can read/write small amount of data on the Bloch spherewhen we consider the function as data. (2) We discuss memory of values. We store an arbitrary natural number relating to a phase $phi$ (real number) itself by means of the unitary operation $U_f$. Therefore, we write value data on the Bloch sphere. Also in addition, we recall the natural number relating to the phase $phi$ by means of the same unitary operation $U_f$ as the above. That is, we read data from the Bloch sphere.We discuss that we can read/write infinite data on the Bloch spherewhen we consider an arbitrary natural number relating to the phase factor of a quantum state as data.It may be much likely that, from the property of quantum physics, the Bloch sphere is a high-speed memory system in quantum computing at least in an algorithm level.