PIRSA:13060003

Generalized Relative Entropies, Entanglement Monotones and One-Shot Information Theory

APA

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

MLA

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

BibTex

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2013},
            month = {jun},
            note = {PIRSA:13060003 see, \url{https://scivideos.org/index.php/pirsa/13060003}}
          }
          

Nilanjana Datta University of Cambridge

Talk numberPIRSA:13060003
Source RepositoryPIRSA

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.