Lowering the T-depth of Quantum Circuits By Reducing the Multiplicative Depth Of Logic Networks

Thomas Häner, Mathias Soeken · 2020 · arXiv quant-ph

| 编号 QRC018 | 主题 可逆计算与编译 | 链接 arXiv:2006.03845 |

摘要

摘要保留原文(英文)

摘要取自 arXiv / 出版方元数据,未作翻译,以保证与原文一致。

The multiplicative depth of a logic network over the gate basis is the largest number of gates on any path from a primary input to a primary output in the network. We describe a dynamic programming based logic synthesis algorithm to reduce the multiplicative depth in logic networks. It makes use of cut enumeration, tree balancing, and exclusive sum-of-products (ESOP) representations. Our algorithm has applications to cryptography and quantum computing, as a reduction in the multiplicative depth directly translates to a lower -depth of the corresponding quantum circuit. Our experimental results show improvements in -depth over state-of-the-art methods and over several hand-optimized quantum circuits for instances of AES, SHA, and floating-point arithmetic.

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