Security of position-based quantum cryptography limits Hamiltonian simulation via holography
arxiv(2024)
摘要
We investigate the link between position-based quantum cryptography (PBQC)
and holography established in [MPS19] 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.
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