Braiding quantum gates from partition algebras
| Autor: | Padmanabhan, Pramod, Sugino, Fumihiko, Trancanelli, Diego |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Quantum 4, 311 (2020) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.22331/q-2020-08-27-311 |
| Popis: | Unitary braiding operators can be used as robust entangling quantum gates. We introduce a solution-generating technique to solve the $(d,m,l)$-generalized Yang-Baxter equation, for $m/2\leq l \leq m$, which allows to systematically construct such braiding operators. This is achieved by using partition algebras, a generalization of the Temperley-Lieb algebra encountered in statistical mechanics. We obtain families of unitary and non-unitary braiding operators that generate the full braid group. Explicit examples are given for a 2-, 3-, and 4-qubit system, including the classification of the entangled states generated by these operators based on Stochastic Local Operations and Classical Communication. Comment: 38 pages, 8 figures; v2: minor changes, added references; v3: fixed hyperlinks for the references, published version |
| Databáze: | arXiv |
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