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PreprintarXiv licencearXiv

Unital qubit channels are $3$-noisy

  • Indu Bala
  • Preeti Parashar
  • Swapan Rana
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Abstract

The algebraic and environmental characteristics of mixed unitary quantum operations are investigated. It is established that the composition of two uniformly n-mixed unitary channels is itself n-noisy, and this n-noisy property is shown to be an invariant under unitary equivalence. Furthermore, by utilizing majorization and the divisibility of Kraus rank-four unital qubit channels, we demonstrate that any unital qubit channel can be physically simulated using a three-dimensional maximally mixed environment. Together, these results advance the classification and physical realization of noisy quantum channels.

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Cite

BibTeXRIS
BibTeX
@misc{bala2026unital,
  title = {{Unital qubit channels are $3$-noisy}},
  author = {Indu Bala and Preeti Parashar and Swapan Rana},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.03894},
  eprint = {2611.03894},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.03894},
}
RIS
TY  - UNPB
TI  - Unital qubit channels are $3$-noisy
AU  - Indu Bala
AU  - Preeti Parashar
AU  - Swapan Rana
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2611.03894
UR  - https://arxiv.org/abs/2611.03894
AB  - The algebraic and environmental characteristics of mixed unitary quantum operations are investigated. It is established that the composition of two uniformly n-mixed unitary channels is itself n-noisy, and this n-noisy property is shown to be an invariant under unitary equivalence. Furthermore, by utilizing majorization and the divisibility of Kraus rank-four unital qubit channels, we demonstrate that any unital qubit channel can be physically simulated using a three-dimensional maximally mixed environment. Together, these results advance the classification and physical realization of noisy quantum channels.
ER  -