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I also present analogous formulas in classical information theory for a Poisson model. An operator called the intensity operator emerges as the central quantity in the formalism to describe Poisson states. It behaves like a density operator but is unnormalized. The formulas in terms of the intensity operators not only resemble the general formulas in terms of the density operators, but also coincide with some existing definitions of divergences between unnormalized positive-semidefinite matrices. Furthermore, I show that the effects of certain channels on Poisson states can be described by simple maps for the intensity operators.<\/jats:p>","DOI":"10.22331\/q-2021-08-19-527","type":"journal-article","created":{"date-parts":[[2021,8,19]],"date-time":"2021-08-19T16:08:23Z","timestamp":1629389303000},"page":"527","update-policy":"http:\/\/dx.doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":9,"title":["Poisson Quantum Information"],"prefix":"10.22331","volume":"5","author":[{"ORCID":"http:\/\/orcid.org\/0000-0001-7173-1239","authenticated-orcid":false,"given":"Mankei","family":"Tsang","sequence":"first","affiliation":[{"name":"Department of Electrical and Computer Engineering, National University of Singapore, 4 Engineering Drive 3, Singapore 117583"},{"name":"Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117551"}]}],"member":"9598","published-online":{"date-parts":[[2021,8,19]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"M. 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