On the Realization of quantum gates coming from the Tracy-Singh product
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909414114459648 |
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| author | Chouraqui, Fabienne |
| author_facet | Chouraqui, Fabienne |
| contents | The Tracy-Singh product of matrices permits to construct a new gate $c \boxtimes c'$ from two $2$-qudit gates $c$ and $c'$. If $c$ and $c'$ are both Yang-Baxter gates, then $c \boxtimes c'$ is also a Yang-Baxter gate, and if at least one of them is entangling, then $c \boxtimes c'$ is also entangling. A natural question arises about the realisation of these gates, $c \boxtimes c'$, in terms of local and universal gates. In this paper, we consider this question and describe this realisation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02345 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Realization of quantum gates coming from the Tracy-Singh product Chouraqui, Fabienne Quantum Physics Mathematical Physics Group Theory Quantum Algebra The Tracy-Singh product of matrices permits to construct a new gate $c \boxtimes c'$ from two $2$-qudit gates $c$ and $c'$. If $c$ and $c'$ are both Yang-Baxter gates, then $c \boxtimes c'$ is also a Yang-Baxter gate, and if at least one of them is entangling, then $c \boxtimes c'$ is also entangling. A natural question arises about the realisation of these gates, $c \boxtimes c'$, in terms of local and universal gates. In this paper, we consider this question and describe this realisation. |
| title | On the Realization of quantum gates coming from the Tracy-Singh product |
| topic | Quantum Physics Mathematical Physics Group Theory Quantum Algebra |
| url | https://arxiv.org/abs/2412.02345 |