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Non−perturbative k−body to two−body commuting conversion Hamiltonians and embedding problem instances into Ising spins

Abstract:

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 k-body interactions to be captured exactly using 2-body Hamiltonians. Our method works when all terms in the Hamiltonian share the same basis and has no dependence on perturbation theory or the associated large spectral gap. Our methods allow problem instance solutions to be embedded into ...

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Publisher copy:
10.1103/PhysRevA.77.052331
Journal:
Physical Review A 77‚ 052331 More from this journal
Publication date:
2008-01-01
DOI:
UUID:
uuid:fe1a86a7-3f30-4ef4-ba6b-4c926cc1e66f
Local pid:
cs:1026
Deposit date:
2015-03-31

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