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:
- Accepted
Actions
Authors
- Publisher:
- Station Q
- Host title:
- Quantum Information Processing 2017
- Journal:
- Quantum Information Processing 2017 More from this journal
- Publication date:
- 2017-01-01
- Acceptance date:
- 2016-11-09
- Pubs id:
-
pubs:657749
- UUID:
-
uuid:734e24d3-9b69-4f92-ab9f-7305a2707dd7
- Local pid:
-
pubs:657749
- Source identifiers:
-
657749
- Deposit date:
-
2016-11-10
Terms of use
- Copyright date:
- 2017
- Notes:
- This is the author accepted manuscript version of the article, to appear at the conference: 20th Annual Conference of Quantum Information Processing, Seattle, Washington, Jan. 16-20 2017
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