PIRSA:23080007

Talk 10 - Constraints on physical computers in holographic spacetimes

May, A. (2023). Talk 10 - Constraints on physical computers in holographic spacetimes. Perimeter Institute. https://pirsa.org/23080007

May, Alex. Talk 10 - Constraints on physical computers in holographic spacetimes. Perimeter Institute, Aug. 01, 2023, https://pirsa.org/23080007 

          @misc{ pirsa_PIRSA:23080007,
            doi = {10.48660/23080007},
            url = {https://pirsa.org/23080007},
            author = {May, Alex},
            keywords = {Quantum Information, Quantum Fields and Strings, Quantum Foundations},
            language = {en},
            title = {Talk 10 - Constraints on physical computers in holographic spacetimes},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {aug},
            note = {PIRSA:23080007 see, \url{https://pirsa.org}}
          }

Alex May

Perimeter Institute for Theoretical Physics

Talk number
PIRSA:23080007
Collection
Talk Type
Subject
Abstract
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 $O(2^n)$. 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.