+1 to what Kellsindell said. This is a normal phase that any new tank goes through (isn't it ugly?). In fact, you're likely to go through multiple phases of algae or other growth over the first 6 months or so of your tank, it's just the normal process a saltwater tank goes through while the chemical chaos ensues and stabilizes as the tank matures.
With 0 across the board for ammonia, nitrites, and nitrates, it sounds like your cycle hasn't really started yet, then again if you are using cured live rock, then you may already be cycled as I've heard that sometimes by using cured liverock, the spikes won't show up in the test kits.
Anyways, be sure to keep up with testing and water changes... even with water kept clean and well-maintained, the tank will go through phases of diatom blooms, algae blooms, etc... if you let the water quality get bad, it will be 100 times worse