Local Hamiltonian

A local Hamiltonian is a sum of terms, each acting nontrivially on only a bounded number of subsystems.

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- k-local Hamiltonian Local Hamiltonian

k-local Hamiltonian ( $k$ -local Hamiltonian)

k

-local Hamiltonian is a sum of terms that each act nontrivially on at most

k

subsystems. The integer

k

remains fixed as the system size grows.

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