Locally accurate matrix product approximation to thermal states
SCIENCE BULLETIN(2021)
摘要
In one-dimensional quantum systems with short-range interactions, we prove that a thermal state at inverse temperature $\beta=O(1)$ has a matrix product representation with bond dimension $e^{\tilde O(\sqrt{\beta\log(1/\epsilon)})}$ such that all local properties are approximated to accuracy $\epsilon$.
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