I am part of the Quality Department and we are following ISO 9001. We are in charge of the documented information of all departments across the company, including support departments (Finance, Human Resources, and Information Technology). We are the ones who create, update, and delete the documented information. However, our Information Technology Department is the one managing our server and cloud for back-up.
Our Information Technology Department is on the process of adapting ISO 27001:2013. They have a backup policy and asset management policy.
Their asset management policy covers their documented information, which we manage in QMS.
As a company, we wish to centralize the control of documented information, and if possible, integrate the two standards.
What would be the best course of action that we have to take? Who should be handling the documented information/digital assets?”
You can centralize the control of document ed information and have common rules because the requirements from both standards are practically the same.
About who should be handling the documented information/digital assets, that is a management decision, not a technical one. Your organization can distribute handling responsibilities among different persons.