The Treasurer shall deposit in a box or vault as provided in subsection (b) of this section: all of the physical securities that the State owns; and all of the physical securities that, by State law, the Treasurer holds, in trust or otherwise, for a corporation or individual. With the approval of the Board of Public Works, the Treasurer shall procure a box or vault. The box or vault shall be located in the offices of the Treasurer. Each box or vault in which securities are kept shall be built so that 2 different keys are needed to gain access to the securities. The Comptroller and the Treasurer each shall have 1 of these keys. Access to a box or vault in which physical securities are kept under this section shall be permitted only: when the Governor, the Comptroller, the Chief Deputy Comptroller, or a Deputy Comptroller accompanies the Treasurer; or if access is needed and the Treasurer cannot be present: when the Governor, the Comptroller, the Chief Deputy Comptroller, or a Deputy Comptroller accompanies the Chief Deputy Treasurer; or when the Governor, the Comptroller, or the Chief Deputy Comptroller accompanies a Deputy Treasurer. The Treasurer shall determine which physical securities are deposited or held in each box or vault.