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Continuity and additivity properties of information decompositions

Rauh, Johannes, Banerjee, Pradeep Kr., Olbrich, Eckehard, Montúfar, Guido, Jost, Jürgen·2023·International Journal of Approximate Reasoning
DOI 10.1016/j.ijar.2023.108979
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Research works printed but not linked: 24

  1. Ay, 2020, Information decomposition based on cooperative game theory, Kybernetika, 56, 979
  2. Barrett, 2015, Exploration of synergistic and redundant information sharing in static and dynamical Gaussian systems, Phys. Rev. E, 91, 10.1103/PhysRevE.91.052802 · DOI
  3. Bertschinger, 2014, Quantifying unique information, Entropy, 16, 2161, 10.3390/e16042161 · DOI · Paper page
  4. Cerf, 2002, Multipartite classical and quantum secrecy monotones, Phys. Rev. A, 66, 10.1103/PhysRevA.66.042309 · DOI
  5. Chitambar, 2019, Quantum resource theories, Rev. Mod. Phys., 91, 10.1103/RevModPhys.91.025001 · DOI
  6. Christandl, 2004, “Squashed entanglement” - an additive entanglement measure, J. Math. Phys., 45, 829, 10.1063/1.1643788 · DOI
  7. Csiszár, 2008, Axiomatic characterizations of information measures, Entropy, 10, 261, 10.3390/e10030261 · DOI
  8. Fannes, 1973, A continuity property of the entropy density for spin lattice systems, Commun. Math. Phys., 31, 291, 10.1007/BF01646490 · DOI
  9. Finn, 2018, Pointwise partial information decomposition using the specificity and ambiguity lattices, Entropy, 20, 10.3390/e20040297 · DOI
  10. Gács, 1973, Common information is far less than mutual information, Probl. Control Inf. Theory, 2, 149
  11. Gohari, 2010, Information-theoretic key agreement of multiple terminals-Part I, IEEE Trans. Inf. Theory, 56, 3973, 10.1109/TIT.2010.2050832 · DOI
  12. Griffith, 2015, Quantifying redundant information in predicting a target random variable, Entropy, 17, 4644, 10.3390/e17074644 · DOI
  13. Griffith, 2014, Intersection information based on common randomness, Entropy, 16, 1985, 10.3390/e16041985 · DOI
  14. Harder, 2013, A bivariate measure of redundant information, Phys. Rev. E, 87, 10.1103/PhysRevE.87.012130 · DOI
  15. Ince, 2017, Measuring multivariate redundant information with pointwise common change in surprisal, Entropy, 19, 318, 10.3390/e19070318 · DOI
  16. James, 2018, Unique information via dependency constraints, J. Phys. A, 52, 10.1088/1751-8121/aaed53 · DOI
  17. Kolchinsky, 2022, A novel approach to the partial information decomposition, Entropy, 24, 403, 10.3390/e24030403 · DOI
  18. McGill, 1954, Multivariate information transmission, IRE Trans. Inf. Theory, 4, 93
  19. Rauh, 2017, Secret sharing and shared information, Entropy, 19, 601, 10.3390/e19110601 · DOI
  20. Rauh, 2021, Properties of unique information, Kybernetika, 57, 383
  21. Shannon, 1948, A mathematical theory of communication, Bell Syst. Tech. J., 27, 379, 10.1002/j.1538-7305.1948.tb01338.x · DOI · Paper page
  22. Synak-Radtke, 2006, On asymptotic continuity of functions of quantum states, J. Phys. A, Math. Gen., 39, L423, 10.1088/0305-4470/39/26/L02 · DOI
  23. Watanabe, 1960, Information theoretical analysis of multivariate correlation, IBM J. Res. Dev., 4, 66, 10.1147/rd.41.0066 · DOI
  24. Winter, 2016, Tight uniform continuity bounds for quantum entropies: conditional entropy, relative entropy distance and energy constraints, Commun. Math. Phys., 347, 291, 10.1007/s00220-016-2609-8 · DOI

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Metadata

Authors
Rauh, J., Banerjee, P. K., Olbrich, E., Montúfar, G., & Jost, J.
Venue
International Journal of Approximate Reasoning
Publisher
Elsevier BV
Published
2023-10
Volume
161
Pages
108979
ISSN
0888-613X
DOI
10.1016/j.ijar.2023.108979
Cited by
7
References
0
Language
en
Licence
Funders
  • European Research Council (757983)
  • Horizon 2020

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