Agh, I can't find it now, but there's a short film half based on this: A time traveler from the future is identified instantly because she's in two places at once. The short has both of them in adjacent interrogation rooms, with two onlookers - a rookie and an experienced investigator - talking about how to identify time travelers. It ends with the experienced one commenting that they've been showing up more and more often.
Minority Report might not be possible with such technology, but it does open different possibilities.