Security of quantum position-verification limits Hamiltonian simulation via holography
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910571576688640 |
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| author | Apel, Harriet Cubitt, Toby Hayden, Patrick Kohler, Tamara Pérez-García, David |
| author_facet | Apel, Harriet Cubitt, Toby Hayden, Patrick Kohler, Tamara Pérez-García, David |
| contents | We investigate the link between quantum position-verification (QPV) and holography established in [MPS19] 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09058 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Security of quantum position-verification limits Hamiltonian simulation via holography Apel, Harriet Cubitt, Toby Hayden, Patrick Kohler, Tamara Pérez-García, David Quantum Physics High Energy Physics - Theory We investigate the link between quantum position-verification (QPV) and holography established in [MPS19] 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. |
| title | Security of quantum position-verification limits Hamiltonian simulation via holography |
| topic | Quantum Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2401.09058 |