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Fast equivalence-checking for quantum circuits

机译:量子电路的快速等效检查

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摘要

We perform formal verification of quantum circuits by integrating several techniques specialized to particular classes of circuits. Our verification methodology is based on the new notion of a reversible miter that allows one to leverage existing techniques for simplification of quantum circuits. For reversible circuits which arise as runtime bottlenecks of key quantum algorithms, we develop several verification techniques and empirically compare them. We also extend existing quantum verification tools using SAT-solvers. Experiments with circuits for Shor's number-factoring algorithm, containing thousands of gates, show improvements in efficiency by four orders of magnitude.
机译:我们通过集成专门针对特定类电路的几种技术来执行量子电路的形式验证。我们的验证方法基于可逆斜接的新概念,该概念允许人们利用现有技术简化量子电路。对于由于关键量子算法的运行时间瓶颈而引起的可逆电路,我们开发了几种验证技术并根据经验进行了比较。我们还扩展了使用SAT解算器的现有量子验证工具。针对Shor的数字分解算法的电路进行的实验(包含数千个门)显示出效率提高了四个数量级。

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