- 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...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher's Version
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(pdf, 592.2KB)
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- 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
- Pubs id:
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pubs:959947
- URN:
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uri:f3f48ea8-c802-4ede-ab77-2122863904a1
- UUID:
-
uuid:f3f48ea8-c802-4ede-ab77-2122863904a1
- Local pid:
- pubs:959947
- 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
Journal article
Biunitary constructions in quantum information
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