While the nameplate ratings on all of your system's components will add up to more than 15A (possibly much more), a single 15A circuit is sufficient for nearly any home theater installation. Components like sources and displays will probably consume fairly close to their nameplate ratings (which can be a couple or three hundred watts for a big display but more like 15 to 40 watts for source components). Amps, however, will typically go their entire life without achieving their nameplate power consumption. I've seen a number of reports from people using power conditioners with displays showing the amperage being drawn at any given moment, and even with large amps like an Outlaw 7700 they typically don't see readings higher than 4 to 6 amps at average listening levels. Extremely high volumes still wouldn't crack 10 amps.

It will be important to make sure you plug the amp and the sub into high-current outlets, typically labeled either as "high current" or for connection of amps. These outlets are going to be assured of a high current flow even when the current demand spikes suddenly, so that the power conditioner doesn't restrict the amp's ability to do its job during dynamic passages.