License: 
Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.TQC.2015.191
URN: urn:nbn:de:0030-drops-55570
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2015/5557/
Nakata, Yoshifumi ;
Hirche, Christoph ;
Morgan, Ciara ;
Winter, Andreas
Implementing Unitary 2-Designs Using Random Diagonal-unitary Matrices
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}
}
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Keywords: |
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unitary 2-designs, commuting quantum circuits |
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Collection: |
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10th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2015) |
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Issue Date: |
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2015 |
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Date of publication: |
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04.11.2015 |
