Parameterized Quantum Circuits Using Auxiliary-Qubit Post-Selection

The patent divides the quantum circuit into two separate circuits: a first parameterized quantum circuit for generating candidate solutions, and a second parameterized quantum circuit for verification. This segmentation allows each circuit to be optimized independently, with the first circuit focusing on exploration and the second on validation, thereby improving overall expression capability while managing decoherence effects in each smaller circuit.

The patent introduces a classical computer as an intermediary between quantum measurements and parameter updates. The classical computer processes measurement results, determines whether to update parameters based on convergence criteria, and manages the iterative optimization process. This intermediary approach allows for more sophisticated error handling and parameter adjustment strategies that can compensate for noise and decoherence effects.

The patent segments the quantum simulation task into two distinct circuits with different qubit requirements. The first circuit uses n qubits for generating candidate solutions, while the second circuit uses m qubits for verification, where n and m can be independently optimized. This allows the system to simulate larger quantum systems by distributing the qubit requirements across two specialized circuits rather than requiring one large circuit with all qubits simultaneously engaged.

The patent employs a two-stage approach where the first circuit performs partial computation to generate candidate solutions, and the second circuit performs additional verification. This partial action strategy allows the system to achieve higher expression capability by distributing computational tasks across two circuits rather than requiring all qubits to be perfectly coherent in a single deep circuit, thereby managing device complexity more effectively.