PIRSA:13060003 Scientific Series Quantum Information

DOI10.48660/13060003

Series: Perimeter Institute Quantum Discussions

Datta, N. (2013). Generalized Relative Entropies, Entanglement Monotones and One-Shot Information Theory. Perimeter Institute. https://pirsa.org/13060003

Datta, Nilanjana. Generalized Relative Entropies, Entanglement Monotones and One-Shot Information Theory. Perimeter Institute, Jun. 17, 2013, https://pirsa.org/13060003 

@misc{ pirsa_PIRSA:13060003,
  doi = {10.48660/13060003},
  url = {https://pirsa.org/13060003},
  author = {Datta, Nilanjana},
  keywords = {Quantum Information},
  language = {en},
  title = {Generalized Relative Entropies, Entanglement Monotones and One-Shot Information Theory},
  publisher = {Perimeter Institute},
  year = {2013},
  month = {jun},
  note = {PIRSA:13060003 see, \url{https://pirsa.org}}
}

Abstract

We introduce two relative entropy quantities called the min- and max-relative 
entropies and discuss their properties and operational meanings.

These relative entropies act as parent quantities for tasks such as data compression, information
transmission and entanglement manipulation in one-shot information theory. Moreover, they lead us to define entanglement monotones which have interesting operational interpretations.

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