- 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...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher's version
- Files:
-
-
(pdf, 548.1KB)
-
- Publisher copy:
- 10.4230/LIPIcs.MFCS.2016.76
-
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- Publisher:
- Schloss Dagstuhl Publisher's website
- Publication date:
- 2016-08-19
- Acceptance date:
- 2016-06-05
- DOI:
- ISSN:
-
1868-8969
- Pubs id:
-
pubs:683920
- URN:
-
uri:a1cab443-74b1-48ab-a88a-66085a5b1ce5
- UUID:
-
uuid:a1cab443-74b1-48ab-a88a-66085a5b1ce5
- Local pid:
- pubs:683920
- ISBN:
- 9783959770163
- Copyright holder:
- Perdrix and Wang
- Copyright date:
- 2016
- Notes:
- © Simon Perdrix and Quanlong Wang; licensed under Creative Commons License CC-BY
- License:
- CC BY
Conference item
Supplementarity is necessary for quantum diagram reasoning
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