Simulating quantum computing circuits using kronecker factorization

A processor comprising:

• one or more circuits to:
• receive a representation of a quantum computing circuit, wherein the representation of the quantum computing circuit comprises at least one partition boundary, wherein the at least one partition boundary subdivides the quantum computing circuit into a plurality of circuit partitions;
• generate at least one circuit instance for one or more circuit partitions of the plurality of circuit partitions, at least one circuit partition of the one or more circuit partitions comprising a circuit instance that includes at least one operator derived from a Kronecker factorization, wherein the Kronecker factorization corresponds to a quantum operator of the quantum computing circuit that operates using qudits from more than one of the plurality of circuit partitions;
• and
• generate a representation of at least a component of a state of the state vector for the quantum computing circuit based at least on simulating the at least one circuit instance for the one or more circuit partitions.