A theoretical preprint on arXiv (https://arxiv.org/abs/2603.23628) has determined the optimal approximations for quantum state cloning and transposition, tasks that cannot be implemented perfectly due to quantum mechanics. Using mathematical derivations on pure input states of qudits, the authors prove the optimal fidelity for transforming N qudits into K copies of their transposition and demonstrate that this optimal transposition map is the complementary channel to the optimal universal symmetric N-to-N+K quantum cloning machine. This allows both operations to be performed simultaneously by the same quantum circuit, for which they provide an explicit design. The work is a preprint and not peer-reviewed, relies entirely on theoretical proofs with no experimental component or sample size, and is limited to ideal pure states without addressing real-world noise or mixed states beyond a brief analysis.