Conference item
Supplementarity is necessary for quantum diagram reasoning
- Abstract:
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The ZX-calculus is a powerful diagrammatic language for quantum mechanics and quantum information processing. We prove that itsπ4-fragment is not complete, in other words the ZXcalculus is not complete for the so called "Clifford+T quantum mechanics". The completeness of this fragment was one of the main open problems in categorical quantum mechanics, a programme initiated by Abramsky and Coecke. The ZX-calculus was known to be incomplete for quantum mechanics. On the other hand, itsπ2-fragme...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Version of record, pdf, 548.1KB)
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- Publisher copy:
- 10.4230/LIPIcs.MFCS.2016.76
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Authors
Bibliographic Details
- Publisher:
- Schloss Dagstuhl Publisher's website
- Journal:
- 41st International Symposium on Mathematical Foundations of Computer Science (MFCS 2016) Journal website
- Host title:
- 41st International Symposium on Mathematical Foundations of Computer Science (MFCS 2016)
- Publication date:
- 2016-08-19
- Acceptance date:
- 2016-06-05
- DOI:
- ISSN:
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1868-8969
- Source identifiers:
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683920
- ISBN:
- 9783959770163
Item Description
- Keywords:
- Pubs id:
-
pubs:683920
- UUID:
-
uuid:a1cab443-74b1-48ab-a88a-66085a5b1ce5
- Local pid:
- pubs:683920
- Deposit date:
- 2018-09-05
Terms of use
- Copyright holder:
- Perdrix and Wang
- Copyright date:
- 2016
- Notes:
- © Simon Perdrix and Quanlong Wang; licensed under Creative Commons License CC-BY
- Licence:
- CC Attribution (CC BY)
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