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Deformed Subadditivity Condition for Qudit States and Hybrid Positive Maps

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Journal of Russian Laser Research Aims and scope

Abstract

We extend the subadditivity condition for q-deformed entropy of a bipartite quantum system to the case of an arbitrary quantum system including the single qudit state. We present the subadditivity condition for the density matrix of the single qutrit state in an explicit form. We obtain the inequality for the purity parameters of a bipartite quantum system and its subsystems. We propose a positive map construction using the fiducial density matrix.

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Authors and Affiliations

  1. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow, 119991, Russia

    Margarita A. Man’ko & Vladimir I. Man’ko

  2. Moscow Institute of Physics and Technology (State University), Institutskií per. 9, Dolgoprudnyí, Moscow Region, 141700, Russia

    Vladimir I. Man’ko

Authors
  1. Margarita A. Man’ko
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  2. Vladimir I. Man’ko
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Correspondence to Margarita A. Man’ko.

Additional information

Dedicated to the memory of our friend and colleague Anatoly N. Oraevsky, Professor at the P.N. Lebedev Physical Institute and Moscow Engineering Physics Institute.

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Man’ko, M.A., Man’ko, V.I. Deformed Subadditivity Condition for Qudit States and Hybrid Positive Maps. J Russ Laser Res 35, 509–517 (2014). https://doi.org/10.1007/s10946-014-9454-z

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  • DOI: https://doi.org/10.1007/s10946-014-9454-z

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