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Initial-State Dependent Optimization of Controlled Gate Operations with Quantum Computer
Quantum ( IF 6.4 ) Pub Date : 2022-09-08 , DOI: 10.22331/q-2022-09-08-798
Wonho Jang, Koji Terashi, Masahiko Saito, Christian W. Bauer, Benjamin Nachman, Yutaro Iiyama, Ryunosuke Okubo, Ryu Sawada

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

中文翻译:

用量子计算机对受控门操作进行初始状态相关优化

没有唯一的方法可以将量子算法编码到量子电路中。由于量子比特数、连通性和相干时间有限,量子电路优化对于充分利用近期量子设备至关重要。我们引入了一种称为 AQCEL 的新电路优化器,旨在根据电路的初始状态从受控门中删除冗余受控操作。特别是,AQCEL 可以通过使用量子计算机识别零幅度计算基态,从多项式计算资源中的多控制门中移除不必要的量子位控制,即使所有相关的量子位都纠缠在一起。作为基准,AQCEL 部署在一种量子算法上,该算法旨在模拟高能物理中的最终状态辐射。对于这个基准,我们已经证明,经过 AQCEL 优化的电路可以产生等效的最终状态,而门的数量要少得多。此外,当将 AQCEL 与嘈杂的中等规模量子计算机一起部署时,它通过截断低于特定阈值的低幅度计算基态,有效地生成了一个以高保真度逼近原始电路的量子电路。我们的技术可用于各种量子算法,为进一步简化量子电路以更有效地用于真实设备开辟了新的可能性。它通过截断低于特定阈值的低幅度计算基态有效地产生一个以高保真度逼近原始电路的量子电路。我们的技术可用于各种量子算法,为进一步简化量子电路以更有效地用于真实设备开辟了新的可能性。它通过截断低于特定阈值的低幅度计算基态有效地产生一个以高保真度逼近原始电路的量子电路。我们的技术可用于各种量子算法,为进一步简化量子电路以更有效地用于真实设备开辟了新的可能性。
更新日期:2022-09-08
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