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We determine the entanglement capability of self-inverse Hamiltonianevolution, which reduces to the known result for Ising Hamiltonian, andidentify optimal input states for yielding the maximal entanglement rate. Weintroduce the concept of the operator entanglement rate, and find that themaximal operator entanglement rate gives a lower bound on the entanglementcapability of a general Hamiltonian.Comment: 4 pages, no figures. Version 3: small change

Entanglement capability of a self-inverse Hamiltonian evolution