The Yang-Baxter equation, Quantum computing and Quantum entanglement
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866910704669294592 |
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| author | Chouraqui, Fabienne |
| author_facet | Chouraqui, Fabienne |
| contents | We present a method to construct infinite families of entangling $2$-qudit gates, and amongst them entangling $2$-qudit gates which satisfy the Yang-Baxter equation. We show that, given $2$-qudit gates $c$ and $d$, if $c$ or $d$ is entangling, then their Tracy-Singh product $c \boxtimes d$ is also entangling and we can provide non-entangled states which become entangled after the application of $c \boxtimes d$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_02964 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Yang-Baxter equation, Quantum computing and Quantum entanglement Chouraqui, Fabienne Group Theory Mathematical Physics Quantum Algebra We present a method to construct infinite families of entangling $2$-qudit gates, and amongst them entangling $2$-qudit gates which satisfy the Yang-Baxter equation. We show that, given $2$-qudit gates $c$ and $d$, if $c$ or $d$ is entangling, then their Tracy-Singh product $c \boxtimes d$ is also entangling and we can provide non-entangled states which become entangled after the application of $c \boxtimes d$. |
| title | The Yang-Baxter equation, Quantum computing and Quantum entanglement |
| topic | Group Theory Mathematical Physics Quantum Algebra |
| url | https://arxiv.org/abs/2303.02964 |