On Some Special Cases of the Entropy Photon-Number Inequality

  • Smarajit Das
  • Naresh Sharma
  • Siddharth Muthukrishnan
Conference paper

DOI: 10.1007/978-3-642-35656-8_10

Part of the Lecture Notes in Computer Science book series (LNCS, volume 7582)
Cite this paper as:
Das S., Sharma N., Muthukrishnan S. (2013) On Some Special Cases of the Entropy Photon-Number Inequality. In: Iwama K., Kawano Y., Murao M. (eds) Theory of Quantum Computation, Communication, and Cryptography. TQC 2012. Lecture Notes in Computer Science, vol 7582. Springer, Berlin, Heidelberg

Abstract

We show that the Entropy Photon-Number Inequality (EPnI) holds where one of the input states is the vacuum state and for several candidates of the other input state that includes the cases when the state has the eigenvectors as the number states and either has only two non-zero eigenvalues or has arbitrary number of non-zero eigenvalues but is a high entropy state. We also discuss the conditions, which if satisfied, would lead to an extension of these results.

Keywords

entropy photon number inequality bosonic channels 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Smarajit Das
    • 1
  • Naresh Sharma
    • 1
  • Siddharth Muthukrishnan
    • 2
  1. 1.School of Technology and Computer ScienceTata Institute of Fundamental ResearchMumbaiIndia
  2. 2.Department of Physics and AstronomyUniversity of Southern CaliforniaLos AngelesUSA

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