• Corpus ID: 244709348

Approximate 3-designs and partial decomposition of the Clifford group representation using transvections

@inproceedings{Singal2021Approximate3A,
  title={Approximate 3-designs and partial decomposition of the Clifford group representation using transvections},
  author={Tanmay Singal and Min-Hsiu Hsieh},
  year={2021}
}
X iv :2 11 1. 13 67 8v 2 [ qu an tph ] 1 9 Ju n 20 22 Approximate 3-designs and partial decomposition of the Clifford group representation using transvections Tanmay Singal∗ Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudziadzka 5/7, 87-100 Toruń, Poland Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan Department of Physics, National Taiwan University, No.1 Sec. 4., Roosevelt Road, Taipei 106, Taiwan… 

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It is proved that the Clifford group is a 3-design, showing that it is a better approximation to Haar-random unitaries than previously expected and characterizing how well random Clifford elements approximateHaar- random unitaries.
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