Being on the other island, that’s part of Mykonos, you can get there only by boat, which if you don’t have, you can use a taxi boat, which will leave you there, and pick you up only per request. If you want real solitude, this is the place where you should stay.
You can you except to bring some water and a few basic things to survive here. There’s o noise, no loud music, nothing to disrupt your pleasant vacation. In fact, it’s much more possible that you won’t see a live soul while on the island.
If you really want to be cut from the outside world, this is the right place for you.