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This research demonstrates that arbitrary quantum systems with bounded interactions can be efficiently sampled at high temperatures, enabling fully-polynomial time algorithms for calculating partition functions and global expectation values. The finding establishes a system-size independent spectral gap for these Hamiltonians, which is a significant theoretical advance for understanding the computational tractability of specific quantum states.

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Fast mixing of all-to-all quantum systems at high temperatures

arXiv1 octombrie 20261 min de cititArticolul și perspectiva sunt în engleză.

arXiv:2606.26090v2 Announce Type: replace Abstract: It is shown that arbitrary quantum $k$-local Hamiltonians with bounded strength interactions admit a quantum Gibbs sampler [CKG23] with a system-size independent spectral gap, at sufficiently high temperatures. As a consequence, such systems admit fully-polynomial time quantum approximation algorithms for partition functions and global expectation values.

Abstract:It is shown that arbitrary quantum $k$-local Hamiltonians with bounded strength interactions admit a quantum Gibbs sampler [CKG23] with a system-size independent spectral gap, at sufficiently high temperatures. As a consequence, such systems admit fully-polynomial time quantum approximation algorithms for partition functions and global expectation values.

arXiv:2606.26090 [quant-ph]

(or arXiv:2606.26090v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2606.26090 Focus to learn more arXiv-issued DOI via DataCite

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