The global transverse-field Ising model with non-monotonic time-dependent transverse field is polynomially equivalent to the gate model of quantum computation.
Recall that if sinλ= 1/ √ 2, i.e.λ=π/4, then a single concatenation step and a proper choice of phases rendersU(ϕ 1, θ1)U(ϕ2, θ2) =V
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Polynomial equivalence of the global transverse-field Ising model and the gate model of quantum computation
The global transverse-field Ising model with non-monotonic time-dependent transverse field is polynomially equivalent to the gate model of quantum computation.