Biunitary constructions in quantum information
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 pl...
| Autores principales: | , |
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| Formato: | Conference item |
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Station Q
2017
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| _version_ | 1826279058536660992 |
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| author | Vicary, J Reutter, D |
| author_facet | Vicary, J Reutter, D |
| author_sort | Vicary, J |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T23:53:10Z |
| format | Conference item |
| id | oxford-uuid:734e24d3-9b69-4f92-ab9f-7305a2707dd7 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T23:53:10Z |
| publishDate | 2017 |
| publisher | Station Q |
| record_format | dspace |
| spelling | oxford-uuid:734e24d3-9b69-4f92-ab9f-7305a2707dd72022-03-26T19:55:35ZBiunitary constructions in quantum informationConference itemhttp://purl.org/coar/resource_type/c_5794uuid:734e24d3-9b69-4f92-ab9f-7305a2707dd7Symplectic Elements at OxfordStation Q2017Vicary, JReutter, DWe 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. |
| spellingShingle | Vicary, J Reutter, D Biunitary constructions in quantum information |
| title | Biunitary constructions in quantum information |
| title_full | Biunitary constructions in quantum information |
| title_fullStr | Biunitary constructions in quantum information |
| title_full_unstemmed | Biunitary constructions in quantum information |
| title_short | Biunitary constructions in quantum information |
| title_sort | biunitary constructions in quantum information |
| work_keys_str_mv | AT vicaryj biunitaryconstructionsinquantuminformation AT reutterd biunitaryconstructionsinquantuminformation |