We prove a new version of the Holevo bound employing the Hilbert-Schmidt norm instead of the Kullback-Leibler divergence. Suppose Alice is sending classical information to Bob by using a quantum channel while Bob is performing some projective measurements. We bound the classical mutual information in terms of the Hilbert-Schmidt norm by its quantum Hilbert-Schmidt counterpart. This constitutes a Holevo-type upper bound on the classical information transmission rate via a quantum channel. The resulting inequality is rather natural and intuitive relating classical and quantum expressions using the same measure.
|Number of pages||7|
|Journal||Journal of Quantum Information Science|
|Early online date||17 Dec 2015|
|Publication status||Published - Dec 2015|
- Holevo Bound
- Hilbert-Schmidt Norm
- Entanglement Measures