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Symmetry
Volume 18
Issue 7
10.3390/sym18071146
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

SU(2)-Covariant Quantum Channels

by
ukasz Rudnicki
1,2,
Andrei B. Klimov
3,
Ariana Muñoz
4,5,
Gerd Leuchs
2,6 and
Luis L. Sánchez-Soto
2,5,7,*
1
International Centre for Theory of Quantum Technologies, University of Gdansk, 80-309 Gdańsk, Poland
2
Max-Planck-Institut für die Physik des Lichts, 91058 Erlangen, Germany
3
Departamento de Física, Universidad de Guadalajara, Guadalajara 44420, Mexico
4
Facultad de Ingeniería, Universidad Autónoma de Chile, Talca 3460000, Chile
5
Departamento de Óptica, Facultad de Física, Universidad Complutense, 28040 Madrid, Spain
6
Institut für Optik, Information und Photonik, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91058 Erlangen, Germany
7
Institute for Quantum Studies, Chapman University, Orange, CA 92866, USA
*
Author to whom correspondence should be addressed.
Symmetry 2026, 18(7), 1146; https://doi.org/10.3390/sym18071146 (registering DOI)
Submission received: 24 May 2026 / Revised: 30 June 2026 / Accepted: 3 July 2026 / Published: 5 July 2026
(This article belongs to the Special Issue Symmetry in Mathematical Physics: Current Topics and Recent Advances—in Honour of Professor Jean-Pierre Gazeau on the Occasion of His 80th Birthday)
Versions Notes

Abstract

We present a complete characterization of quantum channels covariant under the action of SU(2), a symmetry that arises naturally across a wide range of physical settings. By exploiting the constraints imposed by rotational symmetry, we derive the spectral decomposition of the associated Choi–Jamiołkowski operators and obtain explicit closed-form expressions for the corresponding Kraus operators. This unified framework provides a systematic approach to analyzing the structure and dynamics of SU(2)-covariant noise, with direct applications to quantum communication, information processing, and symmetry-constrained quantum protocols.
Keywords: quantum information; quantum channels; Kraus operators; Choi–Jamiołkowski isomorphism quantum information; quantum channels; Kraus operators; Choi–Jamiołkowski isomorphism

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MDPI and ACS Style

Rudnicki, u.; Klimov, A.B.; Muñoz, A.; Leuchs, G.; Sánchez-Soto, L.L. SU(2)-Covariant Quantum Channels. Symmetry 2026, 18, 1146. https://doi.org/10.3390/sym18071146

AMA Style

Rudnicki u, Klimov AB, Muñoz A, Leuchs G, Sánchez-Soto LL. SU(2)-Covariant Quantum Channels. Symmetry. 2026; 18(7):1146. https://doi.org/10.3390/sym18071146

Chicago/Turabian Style

Rudnicki, ukasz, Andrei B. Klimov, Ariana Muñoz, Gerd Leuchs, and Luis L. Sánchez-Soto. 2026. "SU(2)-Covariant Quantum Channels" Symmetry 18, no. 7: 1146. https://doi.org/10.3390/sym18071146

APA Style

Rudnicki, u., Klimov, A. B., Muñoz, A., Leuchs, G., & Sánchez-Soto, L. L. (2026). SU(2)-Covariant Quantum Channels. Symmetry, 18(7), 1146. https://doi.org/10.3390/sym18071146

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