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DOI: 10.4230/LIPIcs.TQC.2015.191
URN: urn:nbn:de:0030-drops-55570
URL: https://drops.dagstuhl.de/opus/volltexte/2015/5557/
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: | 04.11.2015 |
