Talk 120 - Security of position-based cryptography limits Hamiltonian simulation via holography

          @misc{ scivideos_PIRSA:23080006,
            doi = {10.48660/23080006},
            url = {https://pirsa.org/23080006},
            author = {},
            keywords = {Quantum Fields and Strings, Quantum Information, Quantum Foundations},
            language = {en},
            title = {Talk 120 - Security  of position-based cryptography limits Hamiltonian simulation via holography},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2023},
            month = {aug},
            note = {PIRSA:23080006 see, \url{https://scivideos.org/pirsa/23080006}}
          }
          

Abstract

We investigate the link between position-based quantum cryptography (PBQC) and holography established in [May19] using holographic quantum error correcting codes as toy models. If the "temporal" scaling of the AdS metric is inserted by hand into the toy model via the bulk Hamiltonian interaction strength we recover a toy model with consistent causality structure. This leads to an interesting implication between two topics in quantum information: if position-based cryptography is secure against attacks with small entanglement then there are new fundamental lower bounds for resources required for one Hamiltonian to simulate another.