Abstract: A computer-implemented method for determining a measurement value for each operator of a plurality of operators. The method comprises grouping the plurality of operators into one or more sets of mutually commuting operators, each set comprising one or more of the plurality of operators. Determining, for each set of operators: a subset of transformed operators based on the set of operators, such that the set of operators are equal to products of the subset of transformed operators; a mapping circuit based on the subset of transformed operators, wherein the mapping circuit comprises an arrangement of quantum gates configured to operate on a plurality of qubits in a quantum computer.

Abstract: A computing system can be configured to determine a compressed quantum circuit architecture, for a quantum computer, based on a point-symmetry group of a physical system. The computing system can comprise a classical computer operatively coupled to the quantum computer. The classical computer can be configured to transmit a symmetrized-unitary operator to the quantum computer to enable configuration of the compressed quantum circuit architecture and application of the compressed quantum circuit architecture to a quantum memory containing a first quantum basis state of the physical system stored in a plurality of qubits. The first quantum basis state transforms according to a first irreducible representation of the point-symmetry group.