QuAlgo Seminar - On the lossless quantum coding with exponential penalization

on the July 4, 2018

From 2pm
For the next Quantum Algorithmic seminar we are pleased to welcome Steeve Zozor from the Gipsa lab, who will speak about the lossless quantum data coding problem.
This talk is devoted to the lossless quantum data coding problem. To this end, we appeal to an encoding scheme that satisfies a quantum version of the Kraft-McMillan inequality. In the standard situation, studied for instance by Schumacher et al., Müller et al., Bostroem et al., or Hayashi, the goal is to minimize the arithmetic average length of the quantum codewords. Here, following the Campbell’s approach in the classical settings, we are interested in the minimization of an exponential type average, in order to penalize the large codeword lengths. We show that, similarly to the classical context, the exponential average length of the optimal code is related to the quantum Rényi entropy of the source, the von Neumann case being the particular case corresponding to the usual linear penalization. Moreover, using an exponential penalization, it also appears that the usual average length is then linked to both the Rényi and the von Neumann entropies.

IMPORTANT: If you wish to attend the seminar, but do not have an access to the IMAG building, pleasend an email to Mehdi Mhalla, in order to provide a list of participants at the reception (especially for latecomers).

Published on August 23, 2018

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Laboratoire d'Informatique de Grenoble
Salle 406, Batiment IMAG
700 Avenue Centrale, 38401 Saint-Martin-d'Hères