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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

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Department:
Oxford, MPLS, Computer Science
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Department:
Oxford, MPLS, Computer Science
Publisher:
Station Q Publisher's website
Publication date:
2017
Acceptance date:
2016-11-09
Pubs id:
pubs:657749
URN:
uri:734e24d3-9b69-4f92-ab9f-7305a2707dd7
UUID:
uuid:734e24d3-9b69-4f92-ab9f-7305a2707dd7
Local pid:
pubs:657749

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