Superdense Coding with GHZ and Quantum Key Distribution with W in the ZX-calculus
Quantum entanglement is a key resource in many quantum protocols, such as quantum teleportation and quantum cryptography. Yet entanglement makes protocols presented in Dirac notation difficult to verify. This is why Coecke and Duncan have introduced a diagrammatic language for quantum protocols, cal...
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| Format: | Article |
| Language: | English |
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Open Publishing Association
2012-10-01
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| Series: | Electronic Proceedings in Theoretical Computer Science |
| Online Access: | http://arxiv.org/pdf/1210.0650v1 |
| _version_ | 1831557156540776448 |
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| author | Anne Hillebrand |
| author_facet | Anne Hillebrand |
| author_sort | Anne Hillebrand |
| collection | DOAJ |
| description | Quantum entanglement is a key resource in many quantum protocols, such as quantum teleportation and quantum cryptography. Yet entanglement makes protocols presented in Dirac notation difficult to verify. This is why Coecke and Duncan have introduced a diagrammatic language for quantum protocols, called the ZX-calculus. This diagrammatic notation is both intuitive and formally rigorous. It is a simple, graphical, high level language that emphasises the composition of systems and naturally captures the essentials of quantum mechanics. In the author's MSc thesis it has been shown for over 25 quantum protocols that the ZX-calculus provides a relatively easy and more intuitive presentation. Moreover, the author embarked on the task to apply categorical quantum mechanics on quantum security; earlier works did not touch anything but Bennett and Brassard's quantum key distribution protocol, BB84. Superdense coding with the Greenberger-Horne-Zeilinger state and quantum key distribution with the W-state are presented in the ZX-calculus in this paper. |
| first_indexed | 2024-12-17T04:47:54Z |
| format | Article |
| id | doaj.art-9ceca37629f649a3bfac7e48a72bb599 |
| institution | Directory Open Access Journal |
| issn | 2075-2180 |
| language | English |
| last_indexed | 2024-12-17T04:47:54Z |
| publishDate | 2012-10-01 |
| publisher | Open Publishing Association |
| record_format | Article |
| series | Electronic Proceedings in Theoretical Computer Science |
| spelling | doaj.art-9ceca37629f649a3bfac7e48a72bb5992022-12-21T22:03:01ZengOpen Publishing AssociationElectronic Proceedings in Theoretical Computer Science2075-21802012-10-0195Proc. QPL 201110312110.4204/EPTCS.95.10Superdense Coding with GHZ and Quantum Key Distribution with W in the ZX-calculusAnne HillebrandQuantum entanglement is a key resource in many quantum protocols, such as quantum teleportation and quantum cryptography. Yet entanglement makes protocols presented in Dirac notation difficult to verify. This is why Coecke and Duncan have introduced a diagrammatic language for quantum protocols, called the ZX-calculus. This diagrammatic notation is both intuitive and formally rigorous. It is a simple, graphical, high level language that emphasises the composition of systems and naturally captures the essentials of quantum mechanics. In the author's MSc thesis it has been shown for over 25 quantum protocols that the ZX-calculus provides a relatively easy and more intuitive presentation. Moreover, the author embarked on the task to apply categorical quantum mechanics on quantum security; earlier works did not touch anything but Bennett and Brassard's quantum key distribution protocol, BB84. Superdense coding with the Greenberger-Horne-Zeilinger state and quantum key distribution with the W-state are presented in the ZX-calculus in this paper.http://arxiv.org/pdf/1210.0650v1 |
| spellingShingle | Anne Hillebrand Superdense Coding with GHZ and Quantum Key Distribution with W in the ZX-calculus Electronic Proceedings in Theoretical Computer Science |
| title | Superdense Coding with GHZ and Quantum Key Distribution with W in the ZX-calculus |
| title_full | Superdense Coding with GHZ and Quantum Key Distribution with W in the ZX-calculus |
| title_fullStr | Superdense Coding with GHZ and Quantum Key Distribution with W in the ZX-calculus |
| title_full_unstemmed | Superdense Coding with GHZ and Quantum Key Distribution with W in the ZX-calculus |
| title_short | Superdense Coding with GHZ and Quantum Key Distribution with W in the ZX-calculus |
| title_sort | superdense coding with ghz and quantum key distribution with w in the zx calculus |
| url | http://arxiv.org/pdf/1210.0650v1 |
| work_keys_str_mv | AT annehillebrand superdensecodingwithghzandquantumkeydistributionwithwinthezxcalculus |