Can I use quantum entanglement to keep synchronized timing information in different frames of reference?

Quantum Entanglement is nifty. Let's assume I can mass produce entanglement such that I've got two big vats of entangled stuff and I get slowly dribble it out so that I know I'm looking at the 'same' particle on Mars as is being messed with on Earth. Could I transfer TIMING information? Say by setting value A during even seconds and value B during odd seconds but with EXACT precision, say by examining one particle per millisecond?

The question came up by wondering if I could use entanglement to keep time and avoid all the relativistic error handling that seems to have led to the FTL neutrino conundrum?