Quantum processor-based systems, methods and apparatus for solving problems as logic circuits

A processor system for solving a computational problem, the processor system comprising:

• a first processing subsystem that generates a logic circuit representation of the computational problem, wherein the logic circuit representation includes at least one logical input, at least one logical output, and at least one logical operation that includes at least one logic gate, and for encoding the logic circuit representation as a discrete optimization problem;
• and
• a quantum processor that solves the discrete optimization problem, wherein solving the discrete optimization problem includes configuring the quantum processor to clamp at least one output of the logic circuit representation and operating the quantum processor to determine at least one input to the logic circuit representation that corresponds to the at least one clamped output, the quantum processor comprising:
• a plurality of computational elements including at least two qubits and at least one coupler;
• a programming subsystem that maps the discrete optimization problem to the plurality of computational elements by programming the computational elements of the quantum processor;
• and
• an evolution subsystem that evolves the computational elements of the quantum processor.