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Original version
Nakata Y., Hirche C., Morgan C., Winter A.: Implementing unitary 2-designs using random diagonal-unitary matrices. In: Leibniz International Proceedings in Informatics, LIPIcs 44 (2015), S. 191-205. DOI: https://doi.org/10.4230/LIPIcs.TQC.2015.191
Repository version
To cite the version in the repository, please use this identifier:
https://doi.org/10.15488/855
Files in this item
| Abstract: | |
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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.
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| License of this version: | CC BY 4.0 Unported - https://creativecommons.org/licenses/by/4.0/ |
| Publication type: | Article |
| Publishing status: | publishedVersion |
| Publication date: | 2015 |
| Keywords english: | Commuting quantum circuits, Unitary 2-designs, Computation theory, Cryptography, Logic circuits, Matrix algebra, Quantum computers, Quantum cryptography, Reconfigurable hardware, Quantum circuit, Quantum shannon theories, Random unitary matrices, Unitary 2-designs, Unitary matrix, Quantum communication |
| DDC: | 500 | Naturwissenschaften, 530 | Physik |
| Controlled keywords(GND): | Konferenzschrift |
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Fakultät für Mathematik und Physik
Frei zugängliche Publikationen aus der Fakultät für Mathematik und Physik