Conference item
Qutrit ZX-calculus is complete for stabilizer quantum mechanics
- Abstract:
- In this paper, we show that a qutrit version of ZX-calculus, with rules significantly different from that of the qubit version, is complete for pure qutrit stabilizer quantum mechanics, where state preparations and measurements are based on the three dimensional computational basis, and unitary operations are required to be in the generalized Clifford group. This means that any equation of diagrams that holds true under the standard interpretation in Hilbert spaces can be derived diagrammatically. In contrast to the qubit case, the situation here is more complicated due to the richer structure of this qutrit ZX-calculus.
- Publication status:
- "Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 179.6KB, Terms of use)
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- Publisher copy:
- 10.4204/EPTCS.266.3
Authors
- Publisher:
- Open Publishing Association
- Host title:
- 14th International Conference on Quantum Physics and Logic (QPL 2017)
- Journal:
- 14th International Conference on Quantum Physics and Logic (QPL 2017) More from this journal
- Publication date:
- 2018-02-27
- Acceptance date:
- 2017-05-29
- DOI:
- Pubs id:
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pubs:859002
- UUID:
-
uuid:b6ed4614-4d2d-4410-8520-c3b262911b62
- Local pid:
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pubs:859002
- Source identifiers:
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859002
- Deposit date:
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2018-09-05
- ARK identifier:
Terms of use
- Copyright holder:
- Open Publishing Association
- Copyright date:
- 2018
- Notes:
- © 2018 Open Publishing Association. All rights reserved.
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