Biunitary constructions in quantum information

Research output: Contribution to conference (unpublished)Paperpeer-review

Authors

Colleges, School and Institutes

External organisations

  • University of Oxford

Abstract

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 basis that cannot be built using any previously known method.

Details

Original languageEnglish
Number of pages48
Publication statusPublished - 4 Jun 2017
EventQuantum Information Processing (QIP 2017) 21st International Conference, 21st International Conference - Seattle, United States
Duration: 14 Jan 201720 Jan 2017

Conference

ConferenceQuantum Information Processing (QIP 2017) 21st International Conference, 21st International Conference
CountryUnited States
CitySeattle
Period14/01/1720/01/17