Conference item
Biunitary constructions in quantum information
- Abstract:
- We present an infinite number of constructions involving unitary error bases, Hadamard matrices, quantum Latin squares and controlled families, many of which have not previously been described. Our results rely on biunitary connections, algebraic objects which play a central role in the theory of planar algebras. They have an attractive graphical calculus which allows simple correctness proofs for the constructions we present. We apply these techniques to construct a unitary error basis that cannot be built using any previously known method.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 222.1KB, Terms of use)
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Authors
- Publisher:
- Open Publishing Association
- Host title:
- QPL 2017: 14th International Conference on Quantum Physics and Logic
- Journal:
- QPL 2017: 14th International Conference on Quantum Physics and Logic More from this journal
- Publication date:
- 2017-07-07
- Acceptance date:
- 2017-05-31
- ISSN:
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2075-2180
- Pubs id:
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pubs:698490
- UUID:
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uuid:166ce4fb-3abf-4f82-982f-269b35abfbf1
- Local pid:
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pubs:698490
- Source identifiers:
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698490
- Deposit date:
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2017-06-05
- ARK identifier:
Terms of use
- Copyright holder:
- Reutter and Vicary
- Copyright date:
- 2017
- Notes:
- This article was presented at QPL 2017: 14th International Conference on Quantum Physics and Logic (3-7 July 2017: Nijmegen, The Netherlands: http://qpl.science.ru.nl/). This work is licensed under the Creative Commons Attribution License
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