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Improved Quantum Cost for n-bit Toffoli Gates

Quantum Physics 2011-08-01 v1

Abstract

We present an n-bit Toffoli gate quantum circuit based on the realization proposed by Barenco, where some of the Toffoli gates in their construction are replaced with Peres gates. This results in a significant cost reduction. Our main contribution is a quantum circuit which simulates the (m+1)-bit Toffoli gate with 32m-96 elementary quantum gates and one garbage bit which is passed unchanged. This paper is a corrected and expanded version of our recent journal publication.

Keywords

Cite

@article{arxiv.quant-ph/0403053,
  title  = {Improved Quantum Cost for n-bit Toffoli Gates},
  author = {Dmitri Maslov and Gerhard W. Dueck},
  journal= {arXiv preprint arXiv:quant-ph/0403053},
  year   = {2011}
}