Quantum Error Correction Realized by the Renormalization Group in Scalar Field Theories
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 s...
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| Published in | Progress of theoretical and experimental physics Vol. 2024; no. 8 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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Oxford
Oxford University Press
01.08.2024
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Kuwahara, Takaaki Tanaka, Gota Tsuchiya, Asato Nasu, Ryota |
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| Cites_doi | 10.1088/2632-2153/ad0102 10.1103/PhysRevD.106.105007 10.1103/PhysRevLett.84.2525 10.1007/JHEP10(2012)193 10.1093/ptep/ptad029 10.3390/e26050389 10.1007/JHEP04(2015)163 10.1201/9780429493232 10.1103/PhysRevLett.110.100402 10.1002/prop.201900038 10.1023/A:1026654312961 10.1007/JHEP01(2022)170 |
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| Copyright | The Author(s) 2024. Published by Oxford University Press on behalf of the Physical Society of Japan. 2024 The Author(s) 2024. Published by Oxford University Press on behalf of the Physical Society of Japan. This work is published under https://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
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| References | Berman (2024080719505244800_bib11) 2023; 4 Knill (2024080719505244800_bib3) 2000; 84 Furuya (2024080719505244800_bib4) 2022; 2201 Nozaki (2024080719505244800_bib8) 2012; 1210 Kuwahara (2024080719505244800_bib9) 2023; 2023 Berman (2024080719505244800_bib10) 2024 Hatfield (2024080719505244800_bib13) 2018 Cotler (2024080719505244800_bib12) Haegeman (2024080719505244800_bib7) 2013; 110 Furuya (2024080719505244800_bib5) 2022; 106 Almheiri (2024080719505244800_bib1) 2015; 1504 Zou (2024080719505244800_bib6) Cotler (2024080719505244800_bib14) 2019; 67 Maldacena (2024080719505244800_bib2) 1999; 38 |
| References_xml | – volume: 4 start-page: 045011 year: 2023 ident: 2024080719505244800_bib11 publication-title: Mach. Learn. Sci. Technol. doi: 10.1088/2632-2153/ad0102 – ident: 2024080719505244800_bib6 – volume: 106 start-page: 105007 year: 2022 ident: 2024080719505244800_bib5 publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.106.105007 – ident: 2024080719505244800_bib12 – volume: 84 start-page: 2525 year: 2000 ident: 2024080719505244800_bib3 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.84.2525 – volume: 1210 start-page: 193 year: 2012 ident: 2024080719505244800_bib8 publication-title: J. High Energy Phys. doi: 10.1007/JHEP10(2012)193 – volume: 2023 start-page: 033B03 year: 2023 ident: 2024080719505244800_bib9 publication-title: Prog. Theor. Exp. Phys. doi: 10.1093/ptep/ptad029 – start-page: 389 volume-title: Entropy year: 2024 ident: 2024080719505244800_bib10 doi: 10.3390/e26050389 – volume: 1504 start-page: 163 year: 2015 ident: 2024080719505244800_bib1 publication-title: J. High Energy Phys. doi: 10.1007/JHEP04(2015)163 – volume-title: Quantum Field Theory of Point Particles and Strings year: 2018 ident: 2024080719505244800_bib13 doi: 10.1201/9780429493232 – volume: 110 start-page: 100402 year: 2013 ident: 2024080719505244800_bib7 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.110.100402 – volume: 67 start-page: 1900038 year: 2019 ident: 2024080719505244800_bib14 publication-title: Fortschr. Phys. doi: 10.1002/prop.201900038 – volume: 38 start-page: 1113 year: 1999 ident: 2024080719505244800_bib2 publication-title: Int. J. Theor. Phys. doi: 10.1023/A:1026654312961 – volume: 2201 start-page: 170 year: 2022 ident: 2024080719505244800_bib4 publication-title: J. High Energy Phys. doi: 10.1007/JHEP01(2022)170 |
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| Title | Quantum Error Correction Realized by the Renormalization Group in Scalar Field Theories |
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