Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.17795 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909301085306880 |
|---|---|
| author | Kuwahara, Takaaki Nasu, Ryota Tanaka, Gota Tsuchiya, Asato |
| author_facet | Kuwahara, Takaaki Nasu, Ryota Tanaka, Gota Tsuchiya, Asato |
| contents | We demonstrate that quantum error correction is realized by the renormalization group in scalar field theories. We construct $q$-level states by using coherent states in the IR region. By acting on them the inverse of the unitary operator $U$ that describes the renormalization group flow of the ground state, we encode them into states in the UV region. We find the situations in which the Knill-Laflamme condition is satisfied for operators that create coherent states. We verify this to the first order in the perturbation theory. This result suggests a general relationship between the renormalization group and quantum error correction and should give insights into understanding the role played by them in the gauge/gravity correspondence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17795 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum error correction realized by the renormalization group in scalar field theories Kuwahara, Takaaki Nasu, Ryota Tanaka, Gota Tsuchiya, Asato High Energy Physics - Theory We demonstrate that quantum error correction is realized by the renormalization group in scalar field theories. We construct $q$-level states by using coherent states in the IR region. By acting on them the inverse of the unitary operator $U$ that describes the renormalization group flow of the ground state, we encode them into states in the UV region. We find the situations in which the Knill-Laflamme condition is satisfied for operators that create coherent states. We verify this to the first order in the perturbation theory. This result suggests a general relationship between the renormalization group and quantum error correction and should give insights into understanding the role played by them in the gauge/gravity correspondence. |
| title | Quantum error correction realized by the renormalization group in scalar field theories |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2401.17795 |