The dimension of the Hamiltonian algebra of Jordan-Wigner-transformed interacting fermion models grows exponentially with the number of sites, making Cartan-based fast-forwarding inefficient for the Hubbard and Anderson models.
If ( i1, j1) = (d(1), d(2)), we set a Pauli string either Q1 =− − − − − − → Pd(1)Pd(2) or Q1 = − − − − − − → Pd(1)Pd(2)
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Fast-forwardability of Jordan-Wigner-transformed Fermion models based on Cartan decomposition
The dimension of the Hamiltonian algebra of Jordan-Wigner-transformed interacting fermion models grows exponentially with the number of sites, making Cartan-based fast-forwarding inefficient for the Hubbard and Anderson models.