Invariants of the quantum graph of the partial trace
<|reference_start|>Invariants of the quantum graph of the partial trace: We compute the independence number, zero-error capacity, and the values of the Lov\'asz function and the quantum Lov\'asz function for the quantum graph associated to the partial trace quantum channel $\operatorname{Tr}_n\otimes\mathrm{id}_k\colon\operatorname{B}(\mathbb{C}^n\otimes\mathbb{C}^k)\to\operatorname{B}(\mathbb{C}^k)$.<|reference_end|>
@article{paupa2024invariants,
    title={Invariants of the quantum graph of the partial trace},
    author={Wojciech Paupa, Piotr M. So{l}tan},
    journal={arXiv preprint arXiv:2408.16858},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.16858},
    primaryClass={math-ph cs.IT math.IT math.MP}
}