Perils of embedding for quantum sampling

@article{Marshall2022PerilsOE,
  title={Perils of embedding for quantum sampling},
  author={Jeffrey Marshall and Gianni Mossi and Eleanor Gilbert Rieffel},
  journal={Physical Review A},
  year={2022}
}
Given quantum hardware that enables sampling from a family of natively implemented Hamiltonians, how well can one use that hardware to sample from a Hamiltonian outside that family? A common approach is to minor embed the desired Hamiltonian in a native Hamiltonian. In Phys. Rev. Research 2, 023020 (2020) [1] it was shown that minor embedding can be detrimental for classical thermal sampling. Here, we generalize these results by considering quantum thermal sampling in the transverse-field Ising… 
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