Abstract

We investigate the link between quantum position-verification (QPV) and holography established in [1] using holographic quantum error correcting codes as toy models. By inserting the “temporal” scaling of the AdS metric by hand 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 verification is secure against attacks with small entanglement then there are new fundamental lower bounds for resources required for one Hamiltonian to simulate another.

Details

Title
Security of quantum position-verification limits Hamiltonian simulation via holography
Author
Apel, Harriet 1   VIAFID ORCID Logo  ; Cubitt, Toby 1   VIAFID ORCID Logo  ; Hayden, Patrick 2   VIAFID ORCID Logo  ; Kohler, Tamara 3   VIAFID ORCID Logo  ; Pérez-García, David 4   VIAFID ORCID Logo 

1  University College London, Department of Computer Science, London, UK (GRID:grid.83440.3b) (ISNI:0000 0001 2190 1201) 
2  Stanford University, Stanford Institute for Theoretical Physics, Stanford, USA (GRID:grid.168010.e) (ISNI:0000 0004 1936 8956) 
3  Instituto de Ciencias Matemáticas, Madrid, Spain (GRID:grid.462412.7) (ISNI:0000 0004 0515 9053); Stanford University, Department of Computer Science, Stanford, USA (GRID:grid.168010.e) (ISNI:0000 0004 1936 8956) 
4  Instituto de Ciencias Matemáticas, Madrid, Spain (GRID:grid.462412.7) (ISNI:0000 0004 0515 9053) 
Pages
152
Publication year
2024
Publication date
Aug 2024
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1007/JHEP08(2024)152
ProQuest document ID
3094943172
Copyright
© The Author(s) 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.