SU(2)-Covariant Quantum Channels
Rudnicki Ł, Klimov AB, Muñoz A, Leuchs G, Sánchez-Soto LL (2026)
Publication Type: Journal article
Publication year: 2026
Journal
Book Volume: 18
Article Number: 1146
Journal Issue: 7
DOI: 10.3390/sym18071146
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.
Involved external institutions
University of Gdańsk / Uniwersytet Gdański
Poland (PL)
Universidad de Guadalajara (UDEG)
Mexico (MX)
Universidad Autónoma de Chile (UAutónoma)
Chile (CL)
Max-Planck-Institut für die Physik des Lichts (MPL) / Max Planck Institute for the Science of Light
Germany (DE)
Poland (PL)
Universidad de Guadalajara (UDEG)
Mexico (MX)
Universidad Autónoma de Chile (UAutónoma)
Chile (CL)
Max-Planck-Institut für die Physik des Lichts (MPL) / Max Planck Institute for the Science of Light
Germany (DE)
How to cite
APA:
Rudnicki, Ł., Klimov, A.B., Muñoz, A., Leuchs, G., & Sánchez-Soto, L.L. (2026). SU(2)-Covariant Quantum Channels. Symmetry, 18(7). https://doi.org/10.3390/sym18071146
MLA:
Rudnicki, Łukasz, et al. "SU(2)-Covariant Quantum Channels." Symmetry 18.7 (2026).
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