Windowed quantum arithmetic

Craig Gidney

Windowed quantum arithmetic

Quantum Physics 2019-05-21 v1

Authors: Craig Gidney

Abstract

We demonstrate a technique for optimizing quantum circuits that is analogous to classical windowing. Specifically, we show that small table lookups can allow control qubits to be iterated in groups instead of individually. We present various windowed quantum arithmetic circuits, including a windowed modular exponentiation with nested windowed modular multiplications, which have lower Toffoli counts than previous work at register sizes ranging from tens of qubits to thousands of qubits.

Keywords

quantum circuit compilation quantum computation quantum computing

Cite

@article{arxiv.1905.07682,
  title  = {Windowed quantum arithmetic},
  author = {Craig Gidney},
  journal= {arXiv preprint arXiv:1905.07682},
  year   = {2019}
}

Comments

11 pages, 7 figures

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