An O(m) algorithm counts anticommuting unordered pairs of bounded-weight Pauli strings by maintaining labeled subpattern counts and applying a subset zeta identity on each insertion.
Measuring all compatible operators in one series of single-qubit measurements using unitary transformations.Journal of Chemical Theory and Computation, 16(4):2400–2409
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Counting anticommuting Pauli pairs in linear time
An O(m) algorithm counts anticommuting unordered pairs of bounded-weight Pauli strings by maintaining labeled subpattern counts and applying a subset zeta identity on each insertion.