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Nonperturbative<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">k</mml:mi></mml:math>-body to two-body commuting conversion Hamiltonians and embedding problem instances into Ising spins
An algebraic method has been developed which allows one to engineer several energy levels including the low-energy subspace of interacting spin systems. By introducing ancillary qubits, this approach allows $\mathit{k}$-body interactions to be captured exactly using two-body Hamiltonians. Our method works when all terms in the Hamiltonian share the same …