Lossless quantum data compression with exponential penalization: an operational interpretation of the quantum Rényi entropy

@inproceedings{Bellomo2017LosslessQD,
  title={Lossless quantum data compression with exponential penalization: an operational interpretation of the quantum R{\'e}nyi entropy},
  author={Guido Bellomo and Gustavo M. Bosyk and Federico Holik and Steeve Zozor},
  booktitle={Scientific Reports},
  year={2017}
}
Based on the problem of quantum data compression in a lossless way, we present here an operational interpretation for the family of quantum Rényi entropies. In order to do this, we appeal to a very general quantum encoding scheme that satisfies a quantum version of the Kraft-McMillan inequality. Then, in the standard situation, where one is intended to minimize the usual average length of the quantum codewords, we recover the known results, namely that the von Neumann entropy of the source… CONTINUE READING
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