RT Journal Article
T1 Constraints on physical computers in holographic spacetimes
A1 Kubicki, Aleksander
A1 May, Alex
A1 Pérez García, David
AB Within the setting of the AdS/CFT correspondence, we ask about the power of computers in the presence of gravity. We show that there are computations on n qubits which cannot be implemented inside of black holes with entropy less than O(2n). To establish our claim, we argue computations happening inside the black hole must be implementable in a programmable quantum processor, so long as the inputs and description of the unitary to be run are not too large. We then prove a bound on quantum processors which shows many unitaries cannot be implemented inside the black hole, and further show some of these have short descriptions and act on small systems. These unitaries with short descriptions must be computationally forbidden from happening inside the black hole.
YR 2023
FD 2023-04
LK https://hdl.handle.net/20.500.14352/73373
UL https://hdl.handle.net/20.500.14352/73373
LA eng
DS Docta Complutense
RD 6 abr 2025