J.P.
We set a timer (about 45 minutes) for my daughter so she knew when quiet time would end. Then we specifically explained that she needed to stay in her room until the timer when off. Some days she would fall asleep and I would just wake her after 20-40 minutes. This rest seemed to help her get through the rest of the day without interfering with sleep.
It might also help to pull out a toy she hasn't used in a while to make quiet time more special.
If her quiet time is in the middle of the house where you are doing chores, that may be contributing to her calling for you. My daughter's quiet time was in a separate room where she couldn't see me.
My daughter is older now, but when one of us needs a little break, she gets quiet time for about 45 minutes in my room w/ the TV.
Good luck,
J.