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Application of the adiabatic model of quantum computation requires efficient encoding of the solution to computational problems into the lowest eigenstate of a Hamiltonian that supports universal adiabatic quantum computation.
Sur la théorie des perturbations des états liés
C. Bloch · 1958
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Quantum Simulation of a three-body interaction Hamiltonian on an NMR Quantum Computer
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S. Bravyi, D. DiVincenzo, R. Oliveira, and B. Terhal · 2006
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Adiabatic quantum computation is equivalent to standard quantum computation
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Simple proof of equivalence between adiabatic quantum computation and the circuit model
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The notion of ‘optimized case’ refers to the search for the gap Δ \Delta needed for yielding a spectral error of precisely ϵ \epsilon between gadget and target Hamiltonian, which is described in Sec. II
Cited in the paper.
As is shown by [ 11 ] , for the gadget construction with the assignments of κ i {\kappa_{i}} , λ i {\lambda_{i}} and μ i {\mu_{i}} all being O ( Δ 2 / 3 ) O(\Delta^{2/3}) , the cross-gadget contribution can be reduced by increasing Δ \Delta , thus no cross-gadget compensation is needed. However, with our assignments of κ i {\kappa_{i}} , λ i {\lambda_{i}} and μ i {\mu_{i}} in ( 78
Cited in the paper.
Cited in the paper.
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