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There is no unique way to encode a quantum algorithm into a quantum circuit.With limited qubit counts, connectivity, and coherence times, a quantum circuitoptimization is essential to make the best use of near-term quantum devices. Weintroduce a new circuit optimizer called AQCEL, which aims to remove redundantcontrolled operations from controlled gates, depending on initial states of thecircuit. Especially, the AQCEL can remove unnecessary qubit controls frommulti-controlled gates in polynomial computational resources, even when all therelevant qubits are entangled, by identifying zero-amplitude computationalbasis states using a quantum computer. As a benchmark, the AQCEL is deployed ona quantum algorithm designed to model final state radiation in high energyphysics. For this benchmark, we have demonstrated that the AQCEL-optimizedcircuit can produce equivalent final states with much smaller number of gates.Moreover, when deploying AQCEL with a noisy intermediate scale quantumcomputer, it efficiently produces a quantum circuit that approximates theoriginal circuit with high fidelity by truncating low-amplitude computationalbasis states below certain thresholds. Our technique is useful for a widevariety of quantum algorithms, opening up new possibilities to further simplifyquantum circuits to be more effective for real devices.

Initial-State Dependent Optimization of Controlled Gate Operations with Quantum Computer