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We analyze the error of approximating Gibbs states of local quantum spin Hamiltonians on lattices with Projected Entangled Pair States (PEPS) as a function of the bond dimension ($D$), temperature ($\beta^{-1}$), and system size ($N$).
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Note that the definition of Möbius inversion is slightly different in this context: we use a sum over 𝒥 ⊆ ℐ \mathcal{J}\subseteq\mathcal{I} instead of a sum over 𝒥 ⊇ ℐ \mathcal{J}\supseteq\mathcal{I} . The inverse is defined likewise
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arXiv preprint (2013), 1309.0816
M. Kliesch, C. Gogolin, M. J. Kastoryano, A. Riera, and J. Eisert, · 2013
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Journal of Statistical Mechanics: Theory and Experiment 2007
M. B. Hastings, · 2024
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