@inproceedings{77523c36463b44dd9bd04ee5dfd4f552,
title = "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.",
keywords = "Commuting quantum circuits, Unitary 2-designs",
author = "Yoshifumi Nakata and Christoph Hirche and Ciara Morgan and Andreas Winter",
note = "Publisher Copyright: {\textcopyright} Yoshifumi Nakata.; 10th Conference on the Theory of Quantum Computation, Communication and Cryptography, TQC 2015 ; Conference date: 20-05-2015 Through 22-05-2015",
year = "2015",
month = nov,
day = "1",
doi = "10.4230/LIPIcs.TQC.2015.191",
language = "English",
series = "Leibniz International Proceedings in Informatics, LIPIcs",
publisher = "Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing",
pages = "191--205",
editor = "Salman Beigi and Robert Konig",
booktitle = "10th Conference on the Theory of Quantum Computation, Communication and Cryptography, TQC 2015",
}