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We show here that a direct application of resummation-based quantum MonteCarlo (QMC) -- implemented recently for sign-problem-free SU(2)-symmetricHamiltonians in the stochastic series expansion (SSE) framework -- does notreduce the sign problem for frustrated SU(2)-symmetric Heisenbergantiferromagnets on canonical geometrically frustrated lattices composed oftriangular motifs such as the triangular lattice. In the process, wedemonstrate that resummation-based updates do provide an ergodic sampling ofthe SSE-based QMC configurations which can be an issue when using the standardSSE updates, however, severely limited by the sign problem as previouslymentioned. The notions laid out in these notes may be useful in the design ofbetter algorithms for geometrically frustrated magnets.

Notes on resummation-based quantum Monte Carlo vis-\`a-vis sign-problematic Heisenberg models on canonical geometrically frustrated lattices