Fig. 2: Quantum circuit of singlet-restricted ansatz for two electrons in two-orbital system.

X, Ry, and the ⊕ connected to a dot represent the Pauli X-gate, Y-rotational gate, and CNOT gate, respectively. q0 and q1 are the labels for the two qubits and the order of tensor products shown in Eqs. (4) and (5) is \(\left| {q_1q_0} \right\rangle = \left| {q_1} \right\rangle \otimes \left| {q_0} \right\rangle\).