A data processing apparatus comprising: a data processor for processing data in a secure and a non-secure mode, said data processor processing data in said secure mode having access to secure data that is not accessible to said data processor in said non-secure mode, and processing data in said secure mode being performed under control of a secure operating system and processing data in said non-secure mode being performed under control of a non-secure operating system; and a further processing device for performing a task in response to a request from said data processor, said task comprising processing data at least some of which is secure data; wherein said further processing device is responsive to receipt of a signal to suspend said task to initiate: processing of said secure data using a secure key; and storage of said processed secure data to a non-secure data store; and is responsive to receipt of a signal to resume said task to initiate: retrieval of said processed secure data from said non-secure data store; and restoring of said processed secure data using said secure key; wherein said secure key is securely stored such that it is not accessible to other processes operating in said non-secure mode.