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...
| Những tác giả chính: | , |
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| Định dạng: | Conference item |
| Được phát hành: |
Open Publishing Association
2017
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| _version_ | 1826260706978168832 |
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| author | Reutter, D Vicary, J |
| author_facet | Reutter, D Vicary, J |
| author_sort | Reutter, D |
| 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 | 2024-03-06T19:09:57Z |
| format | Conference item |
| id | oxford-uuid:166ce4fb-3abf-4f82-982f-269b35abfbf1 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:09:57Z |
| publishDate | 2017 |
| publisher | Open Publishing Association |
| record_format | dspace |
| spelling | oxford-uuid:166ce4fb-3abf-4f82-982f-269b35abfbf12022-03-26T10:31:16ZBiunitary constructions in quantum informationConference itemhttp://purl.org/coar/resource_type/c_5794uuid:166ce4fb-3abf-4f82-982f-269b35abfbf1Symplectic Elements at OxfordOpen Publishing Association2017Reutter, DVicary, JWe 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 | Reutter, D Vicary, J 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 reutterd biunitaryconstructionsinquantuminformation AT vicaryj biunitaryconstructionsinquantuminformation |