In your current system and ignoring file I/O time one processor is always doing something useful if there's something useful to be done, and waiting ready-to-go if there's nothing useful to be done. If this were a single processor (single core) system you would have maximized throughput. This is often a very good design -- particularly for an FTP server where you don't usually have a human waiting on a packet-by-packet basis.
You have also minimized average latency (for a single processor system.) What you do not have is consistent latency. Measuring your system's performance is likely to show a lot of jitter -- a lot of variation in the time it takes to handle a packet. Again because this is FTP and not real-time process control or human interaction, jitter may not be a problem.
Now, however consider that there is probably more than one processor available on your system and that it may be possible to overlap I/O time and processing time.
To take full advantage of a multi-processor(core) system you need some concurrency.
This normally translates to using multiple threads, but it may be possible to achieve concurrency via asynchronous (non-blocking) file reads and writes.
However, adding multiple threads to a program opens up a huge can-of-worms.
If you do decide to go the MT route, I'd suggest that you consider depending on a thread-aware I/O library. QT may provide that for you (I'm not sure.) If not, take a look at boost::asio (or ACE for an older, but still solid solution). You'll discover that using the MT capabilities of such a library involves a considerable investment in learning time; however as it turns out the time to add on multithreading "by-hand" and get it right is even worse.
So I'd say stay with your existing solution unless you are worried about unused Processor cycles and/or jitter in which case start learning QT's multithreading support or boost::asio.