simulate_trotter throws error on spin exchange Hamiltonian

[ebjones424]

Describe the issue

I am trying to use the LOW_RANK trotter simulation algorithm to simulate a Hamiltonian involving a particular type of fermionic interaction term-- spin exchange (see code below). However, I keep receiving 'TypeError: Invalid two-body coefficient tensor specification.', which traces back to low_rank.py. On looking through low_rank.py it appears as if the problem may be arising around lines 61-66 (there is a comment on line 60 that expresses a requirement for a spin-symmetric interaction)? This interaction term, while spin-dependent, should be spin symmetric so I'm a bit confused. Thanks!

What version of this software are you using?

Cirq version 1.6.1, Openfermion version 1.7.1

How can the issue be reproduced?

`import cirq from openfermion.ops import FermionOperator from openfermion import get_interaction_operator, count_qubits from openfermion.circuits import simulate_trotter

Orbital mapping is just for illustration purposes. Maps spin-orbitals to Hamiltonian indices.

sites = [f"{ii}" for ii in range(0, 2)] # Spatial sites spins = ["up", "down"] # Spin d.o.f. orbital_map = {spin_orbital: ii for ii, spin_orbital in enumerate([site + "_" + spin for site in sites for spin in spins])}

Create a simple spin-exchange Hamiltonian on two spatial orbitals (4 SOs)

h_sf = FermionOperator('0^ 3^ 1 2', 1.) + FermionOperator('2^ 1^ 3 0', 1.) assert(2 * len(sites) == count_qubits(h_sf))

Create interaction Hamiltonian and Trotter circuit

sf_interaction_hamiltonian = get_interaction_operator(h_sf, n_qubits=2 * len(sites)) circuit = cirq.Circuit(simulate_trotter(qubits=2 * len(sites), hamiltonian=sf_interaction_hamiltonian, time=1))`