A1 Refereed original research article in a scientific journal
Communication of partial ignorance with qubits
Authors: Teiko Heinosaari, Oskari Kerppo
Publisher: IOP PUBLISHING LTD
Publication year: 2019
Journal: Journal of Physics A: Mathematical and Theoretical
Journal name in source: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Journal acronym: J PHYS A-MATH THEOR
Article number: ARTN 395301
Volume: 52
Issue: 39
Number of pages: 19
ISSN: 1751-8113
DOI: https://doi.org/10.1088/1751-8121/ab3ae4(external)
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/42518681(external)
We introduce a class of communication tests where the task is to communicate partial ignorance by means of a physical system. We present a full characterization of the implementations of these tests in the qubit case and partial results for qudits. A peculiar observation is that two physical systems with the same operational dimensions may differ with respect to implementations of these tasks, as is shown to be the case for the qubit and rebit. Finally, we consider the natural question whether some of the communication tests are more difficult than others. A new preordering that we call the ultraweak matrix majorization is presented to answer this question in a theory-independent way.
Downloadable publication This is an electronic reprint of the original article. |  |
