Local invariants of braiding quantum gates -- associated link polynomials and entangling power
| Autor: | Padmanabhan, Pramod, Sugino, Fumihiko, Trancanelli, Diego |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | J. Phys. A: Math. Theor. 54 135301 2021 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1751-8121/abdfe9 |
| Popis: | For a generic $n$-qubit system, local invariants under the action of $SL(2,\mathbb{C})^{\otimes n}$ characterize non-local properties of entanglement. In general, such properties are not immediately apparent and hard to construct. Here we consider certain two-qubit Yang-Baxter operators, which we dub of the `X-type', and show that their eigenvalues completely determine the non-local properties of the system. Moreover, we apply the Turaev procedure to these operators and obtain their associated link/knot polynomials. We also compute their entangling power and compare it with that of a generic two-qubit operator. Comment: 43 pages, Published version |
| Databáze: | arXiv |
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