Am I getting HD audio through my PS3?

This is probably a dumb question.

I have my PS3 connected to my HDTV via an HDMI cable. Then I have an optical digital audio cable going from the PS3 to my home theater. Am I getting HD quality audio if I, say, play a Blu-ray or PS3 game (since my PS3 is not directly connected to my home theater via HDMI cable)?
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