A method for simulating a quantum chemistry system is described, wherein the method may comprise: determining a hard-core bosonic Hamiltonian describing the quantum chemistry system, the Hamiltonian model in effect restricting the electronic states to electron singlet state configurations; determining a "paired- electron unitary coupled cluster with double excitations" (pUCCD) ansatz, the ansatz being restricted to paired-electron configurations; mapping the pUCCD ansatz to qubit operations of a quantum circuit, the quantum circuit comprising a set of qubits and gates for enabling pairs of qubits to interact with each other; and, determining a trial state on the quantum circuit by applying the qubit operations defined by the mapped pUCCD ansatz to the qubits; and, determining an energy of the quantum chemistry system based on the trial state and the restricted Hamiltonian, grouping the Hamiltonian terms into three sets of operators which can be measured simultaneously; and, an error-mitigation technique, based on post-selection of the quantum measurements with the known particle number.
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