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

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

2008-01-24

arxiv.org/abs/0801.3800v3

Phys. Rev. A 77, 052331 (2008).

Physics

Quantum Physics

Published version

Scientific paper

10.1103/PhysRevA.77.052331

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 the ground energy state of Ising spin systems. Adiabatic evolution might then be used to place a computational system into it's ground state.

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