Efficient reduction of resources for simulation of fermion Hamiltonians on quantum hardware

摘要

PROBLEM TO BE SOLVED: To provide a method and system for reducing the number of qubits required on a quantum computer. The technology relates to reducing the number of qubits required on a quantum computer. Fermion systems are characterized with respect to the Hamiltonian. The fermion system includes a fermion and a fermion mode, and the total number of fermion modes is 2M. The Hamiltonian has a parity symmetry encoded by the upward spin and downward spin parity operators (1005). The fermion modes are sorted (1010) so that the first half of the 2M mode corresponds to an upward spin and the second half of the 2M mode corresponds to a downward spin. A fermion-to-qubit mapping that transforms the parity operator into a first single qubit-Pauli operator on qubit M and a second single qubit-Pauli operator on qubit 2M Utilizing this, the Hamiltonian and the parity operator are transformed (1015). The qubit M acted on by the first single qubit Pauli operator and the qubit 2M acted on by the second single qubit Pauli operator are removed (1020). [Selection] FIG.