Journal article
Biunitary constructions in quantum information
- Abstract:
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We present an infinite number of construction schemes 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 basi...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Bibliographic Details
- Publisher:
- Macquarie University Publisher's website
- Journal:
- Higher Structures Journal website
- Volume:
- 3
- Issue:
- 1
- Pages:
- 109-154
- Acceptance date:
- 2019-01-01
- ISSN:
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2209-0606
- Source identifiers:
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959947
Item Description
- Pubs id:
-
pubs:959947
- UUID:
-
uuid:f3f48ea8-c802-4ede-ab77-2122863904a1
- Local pid:
- pubs:959947
- Deposit date:
- 2019-01-15
Terms of use
- Copyright holder:
- Reutter and Vicary
- Notes:
- © David J. Reutter and Jamie Vicary, 2019, under a Creative Commons Attribution 4.0 International License. This article is available at: https://journals.mq.edu.au/index.php/higher_structures/article/view/47/51
- Licence:
- CC Attribution (CC BY)
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