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Two-local qubit Hamiltonians: when are they stoquastic?
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abstract
We examine the problem of determining if a 2-local Hamiltonian is stoquastic by local basis changes. We analyze this problem for two-qubit Hamiltonians, presenting some basic tools and giving a concrete example where using unitaries beyond Clifford rotations is required in order to decide stoquasticity. We report on simple results for $n$-qubit Hamiltonians with identical 2-local terms on bipartite graphs. Our most significant result is that we give an efficient algorithm to determine whether an arbitrary $n$-qubit XYZ Heisenberg Hamiltonian is stoquastic by local basis changes.
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Cited by 1 Pith paper
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The power of unentanglement without destructive interference
StoqMA(2) contains NP with Õ(√n)-qubit proofs and completeness error 2^{-polylog(n)}, is contained in EXP, and satisfies StoqMA(k)=StoqMA(2) for k≥2 when completeness error is negligible.
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