Abstract | ||
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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 <= l <= 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. |
Year | DOI | Venue |
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2020 | 10.22331/q-2020-08-27-311 | QUANTUM |
DocType | Volume | ISSN |
Journal | 4 | 2521-327X |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Pramod Padmanabhan | 1 | 0 | 1.35 |
Fumihiko Sugino | 2 | 0 | 1.35 |
Diego Trancanelli | 3 | 0 | 1.01 |