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DOI: 10.4230/LIPIcs.TQC.2015.191
URN: urn:nbn:de:0030-drops-55570
URL: http://drops.dagstuhl.de/opus/volltexte/2015/5557/
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Nakata, Yoshifumi ; Hirche, Christoph ; Morgan, Ciara ; Winter, Andreas

Implementing Unitary 2-Designs Using Random Diagonal-unitary Matrices

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Abstract

Unitary 2-designs are random unitary matrices which, in contrast to their Haar-distributed counterparts, have been shown to be efficiently realized by quantum circuits. Most notably, unitary 2-designs are known to achieve decoupling, a fundamental primitive of paramount importance in quantum Shannon theory. Here we prove that unitary 2-designs can be implemented approximately using random diagonal-unitaries.

BibTeX - Entry

@InProceedings{nakata_et_al:LIPIcs:2015:5557,
  author =	{Yoshifumi Nakata and Christoph Hirche and Ciara Morgan and Andreas Winter},
  title =	{{Implementing Unitary 2-Designs Using Random Diagonal-unitary Matrices}},
  booktitle =	{10th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2015)},
  pages =	{191--205},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-96-5},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{44},
  editor =	{Salman Beigi and Robert Koenig},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/5557},
  URN =		{urn:nbn:de:0030-drops-55570},
  doi =		{10.4230/LIPIcs.TQC.2015.191},
  annote =	{Keywords: unitary 2-designs, commuting quantum circuits}
}

Keywords: unitary 2-designs, commuting quantum circuits
Seminar: 10th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2015)
Issue Date: 2015
Date of publication: 28.10.2015


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