What if the brain of the person you most care about were scanned and the entirety of that person's mind and utility function at this moment were printed out on paper, and then several more "clock ticks" of their mind as its states changed exactly as they would if the person were being horribly tortured were printed out as well, into a gigantic book? And then the book were flipped through, over and over again. Fl-l-l-l-liiiiip! Fl-l-l-l-liiiiip!
Would this count as simulated torture? If so, would you care about stopping it, or is it different from computer-simulated torture?
I'd say the torture happened once. Even if you make more flipbooks and it changes the measure of the subjective experience, there is only one unique experience. The experience doesn't know if it happened before.
Once the system is closed, I'd think it is morally same for the experience to be simulated once or many times.
You're no more torturing them again than you are killing them again and again when the flipbook finishes its calculation.
I happen to agree with you 100%, but let me note that this line of reasoning has some strange conclusions. It implies that it is the same to torture one computer-simulated consciousness to torturing 100 clones of him at the same time the same way. But when one of the simulations has an accidental bit-flip due to hardware error, it is not the same anymore. Similarly, if you torture 100 different computer-simulated consciousnesses by a deterministic process, but during the simulation two of them become identical, it means that now there are only 99 people tortured.