Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  find an upper bound for the minimum output entropy of a unital quantum channel, and obtain an exact formula for general qubit channels. Our techniques incorporate the Renyi entropies, particularly, with Renyi parameter    $\alpha =2$   . Moreover, since our upper bound is additive under tensor product,  get as a corollary an upper bound for the classical capacity of unital quantum channels. Interestingly, our upper bound for the classical capacity depends only on the operator norm of matrix representations of channels on the space of traceless Hermitian operators, and is tight in the sense that it gives the precise quantity of classical capacity of the rner–Holevo channel. As an example,  study quantum channels with operator sum representation that is made of the discrete yl operators (generalized Pauli operators), and explain how our formula works in this case. Finally,  find new examples for which the minimum output Renyi 2-entropy is additive.
['Motohisa Fukuda', 'Gilad Gour']
I am writing a research paper on a idea Additive Bounds of Minimum Output Entropies for Unital Channels and an Exact Qubit Formula
[{"from": "human", "value": "I am writing a research paper on a idea Additive Bounds of Minimum Output Entropies for Unital Channels and an Exact Qubit Formula"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  find an upper bound for the minimum output entropy of a unital quantum channel, and obtain an exact formula for general qubit channels. Our techniques incorporate the Renyi entropies, particularly, with Renyi parameter    $\\alpha =2$   . Moreover, since our upper bound is additive under tensor product,  get as a corollary an upper bound for the classical capacity of unital quantum channels. Interestingly, our upper bound for the classical capacity depends only on the operator norm of matrix representations of channels on the space of traceless Hermitian operators, and is tight in the sense that it gives the precise quantity of classical capacity of the rner\u2013Holevo channel. As an example,  study quantum channels with operator sum representation that is made of the discrete yl operators (generalized Pauli operators), and explain how our formula works in this case. Finally,  find new examples for which the minimum output Renyi 2-entropy is additive."}]