Reducing resources in quantum circuits

REDUCING RESOURCES IN QUANTUM CIRCUITS A method (800) of minimizing a cost function of a quantum computation is provided. The method comprises receiving (802) input of an initial state (202) of a quantum problem instance comprising a Hamiltonian (204) with an associated cost function (238). The Hamiltonian is converted (804) into a number of Pauli strings (208), which are used to form (806) an operator pool (206). The Pauli strings in the operator pool are ranked (808) according to how much they lower a value of the cost function with respect to the initial state. Pauli strings are iteratively added (810) from the operator pool to a parameterized quantum circuit (224), in a manner to minimize circuit depth (234), until a variational quantum eigensolver (VQE) algorithm converges to an approximate ground state wave function generated by the parameterized quantum circuit. START )9/JO 802 RECEIVE INITIAL STATE OF QUANTUM PROBLEM 804 CONVERT HAMILTONIAN TO PAULI STRINGS 806 FORM OPERATOR POOL FROM PAULI STRINGS 808 RANK PAULI STRINGS IN THE OPERATOR POOL ADD PAULI STRING 81 0 g TO PARAMETERIZED QUANTUM CIRCUIT RUN VARIATIONAL 812 / QUANTUM EIGENVALUE NO SELECT THE CONVERGENCE? NO NEXT OPTIMAL < PAULI STRING FIG. 8 ST ) GENERATE TRIAL WAVE FUNCTION /902 CALCULATE EXPECTATION VALUE FOR COST FUNCTION OF HAMILTONIAN 904 OPTIMIZE PARAMETERS OF THE PARAMETERIZED QUANTUM CIRCUIT 906