Security of quantum position-verification limits Hamiltonian simulation via holography
A bstract 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.
Authors
- Toby S. Cubitt
- Harriet Apel (ORCID: https://orcid.org/0000-0001-5715-9838)
- Tamara Kohler (ORCID: https://orcid.org/0000-0002-7136-6267)
- David Pérez-Garcı́a (ORCID: https://orcid.org/0000-0003-2990-791X)
- Patrick Hayden (ORCID: https://orcid.org/0000-0002-3964-5602)
Institutions
- Institute of Mathematical Sciences (ES)
- University College London (GB)
- Stanford University (US)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2024-08-20
- DOI
- https://doi.org/10.1007/jhep08(2024)152
- Citations
- 2
- Primary Topic
- Quantum Computing Algorithms and Architecture
- Type
- article
- Field-Weighted Citation Impact
- 0.69
Funders
- U.S. Department of Energy
- Canadian Institute for Advanced Research
- UK Research and Innovation
- Government of Canada
- European Commission
- Universidad Complutense de Madrid
- Ministerio de Ciencia e Innovación
- Institut Périmètre de physique théorique
- Ministry of Colleges and Universities
- Engineering and Physical Sciences Research Council
- Air Force Office of Scientific Research
- SLAC National Accelerator Laboratory