1. A tape library apparatus, comprising: a tape drive including: a first access mechanism configured to access a non-contact type memory within a tape cartridge to read position information from the non-contact type memory, the position information indicating a position of data recorded in a magnetic tape within the tape cartridge, and a first processor configured to perform positioning for the data; a robot unit including: an accessor configured to store the tape cartridge in the robot unit, a robot arm configured to move the tape cartridge to the tape drive, and a second access mechanism configured to access the non-contact type memory; and a second processor configured to control the second access mechanism to read the position information from the non-contact type memory, and store the position information in a non-volatile memory.