Conference item icon

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
Version:
Accepted manuscript

Actions


Access Document


Files:

Authors


More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Computer Science
More by this author
Institution:
University of Oxford
Department:
Wadham College
Publisher:
Open Publishing Association Publisher's website
Publication date:
2017-07-07
Acceptance date:
2017-05-31
ISSN:
2075-2180
Pubs id:
pubs:698490
URN:
uri:166ce4fb-3abf-4f82-982f-269b35abfbf1
UUID:
uuid:166ce4fb-3abf-4f82-982f-269b35abfbf1
Local pid:
pubs:698490

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP