(英) |
To protect adiabatic quantum computation (AQC) from noise is necessary for reliable and large‐scale quantum computation. Recently, an error suppression method for 1D transversal field Ising Hamiltonian with 2-local Hamiltonian by generalized Bacon-Shor code has shown. However, because this method needs 4-local Hamiltonian when it is applied to degree-three Ising Hamiltonian and universal AQC, to perform them is unfeasible. This problem is possibly settled by using more general codes. Here we present no-go theorem that even if we use the subsystem codes, which is a broad class of generalized Bacon-Shor code,
there is no error suppression method for degree-three transversal field Ising Hamiltonian with 2-local Hamiltonian. In order to circumvent it, we consider perturbative approximation. In this case, 2-local Hamiltonian encoded by a subsystem code can perform universal AQC approximately. As a result, we provide new guidance on error suppression with 2-local Hamiltonian. |