k-local quantum Hamiltonians admit system-size-independent spectral gap for Gibbs samplers at high temperature, enabling FPT quantum approximation algorithms for partition functions.
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Quantum rejection sampling applied to truncated Klein proposals yields quadratic speedup in dual-attack lattice Gaussian sampling, cutting Kyber attack costs by 9, 4, and 13 bits.
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Fast mixing of all-to-all quantum systems at high temperatures
k-local quantum Hamiltonians admit system-size-independent spectral gap for Gibbs samplers at high temperature, enabling FPT quantum approximation algorithms for partition functions.
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Improved Dual Attack and Trapdoor Sampling via Quantum Rejection Sampling
Quantum rejection sampling applied to truncated Klein proposals yields quadratic speedup in dual-attack lattice Gaussian sampling, cutting Kyber attack costs by 9, 4, and 13 bits.