Please use this identifier to cite or link to this item: http://elartu.tntu.edu.ua/handle/lib/53775
Title: The Eastin-Knill Theorem: Fundamental Limitations of Quantum Fault Tolerance
Authors: Kotukh, Yevgen
Affiliation: Yevhenii Bereznyak Military Academy
Bibliographic description (Ukraine): Kotukh Y. The Eastin-Knill Theorem: Fundamental Limitations of Quantum Fault Tolerance / Yevgen Kotukh // ITSEC, 27-29 May 2026. — Tern. : TNTU, 2026. — P. 212–215.
Bibliographic reference (2015): Kotukh Y. The Eastin-Knill Theorem: Fundamental Limitations of Quantum Fault Tolerance // ITSEC, Ternopil, 27-29 May 2026. 2026. P. 212–215.
Bibliographic citation (APA): Kotukh, Y. (2026). The Eastin-Knill Theorem: Fundamental Limitations of Quantum Fault Tolerance. Proceedings of the 15th International Scientific and Technical Conference ITSec: Information Technology Security, 27-29 May 2026, Ternopil, 212-215. TNTU..
Bibliographic citation (CHICAGO): Kotukh Y. (2026) The Eastin-Knill Theorem: Fundamental Limitations of Quantum Fault Tolerance. Proceedings of the 15th International Scientific and Technical Conference ITSec: Information Technology Security (Tern., 27-29 May 2026), pp. 212-215.
Is part of: Матеріали ⅩⅤ Міжнародної науково-технічної конференції ITSec: Безпека інформаційних технологій, 2026
Proceedings of the 15th International Scientific and Technical Conference ITSec: Information Technology Security, 2026
Conference/Event: ⅩⅤ Міжнародна науково-технічна конференція ITSec: Безпека інформаційних технологій
Journal/Collection: Матеріали ⅩⅤ Міжнародної науково-технічної конференції ITSec: Безпека інформаційних технологій
Issue Date: 27-Mei-2026
Date of entry: 27-Agu-2026
Publisher: ТНТУ
TNTU
Place of the edition/event: Тернопіль
Ternopil
Temporal Coverage: 27-29 травня 2026 року
27-29 May 2026
UDC: 621.395.7 (043.2)
Number of pages: 4
Page range: 212-215
Start page: 212
End page: 215
URI: http://elartu.tntu.edu.ua/handle/lib/53775
Copyright owner: © Кафедра кібербезпеки Тернопільського національного технічного університету імені Івана Пулюя, 2026
References (International): 1. 1. Eastin B., Knill E. Restrictions on transversal encoded quantum gate sets. Physical Review Letters, 2009, vol. 102, no. 11, art. 110502.
2. Hayden P., Nezami S., Popescu S., Salton G. Error correction of quantum reference frame information. PRX Quantum, 2021, vol. 2, art. 010326.
3. Faist P., Nezami S., Albert V. V., Salton G., Pastawski F., Hayden P., Preskill J. Continuous symmetries and approximate quantum error correction. Physical Review X, 2020, vol. 10, art. 041018.
4. Zhou S., Liu Z.-W., Jiang L. New perspectives on covariant quantum error correction. Quantum, 2021, vol. 5, art. 521.
5. Kubica A., Demkowicz-Dobrzański R. Using quantum metrological bounds in quantum error correction: a simple proof of the approximate Eastin-Knill theorem. Physical Review Letters, 2021, vol. 126, art. 150503.
6. Alexander R. A new approximate Eastin-Knill theorem. npj Quantum Information, 2025, vol. 11, art. 156.
7. Bravyi S., Kitaev A. Universal quantum computation with ideal Clifford gates and noisy ancillas. Physical Review A, 2005, vol. 71, art. 022316.
8. Litinski D. Magic state distillation: not as costly as you think. Quantum, 2019, vol. 3, art. 205.
9. Yoder T. J., Takagi R., Chuang I. L. Universal fault-tolerant gates on concatenated stabilizer codes. Physical Review X, 2016, vol. 6, art. 031039.
10. Bravyi S., Haah J. Magic-state distillation with low overhead. Physical Review A, 2012, vol. 86, art. 052329.
11. Quantinuum collaboration. Experimental demonstration of high-fidelity logical magic states from code switching. arXiv:2506.14169, 2025.
Content type: Conference Abstract
Appears in Collections:ⅩⅤ Міжнародна науково-технічна конференція ITSec: Безпека інформаційних технологій (2026)



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