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Communication of partial ignorance with qubits




TekijätTeiko Heinosaari, Oskari Kerppo

KustantajaIOP PUBLISHING LTD

Julkaisuvuosi2019

JournalJournal of Physics A: Mathematical and Theoretical

Tietokannassa oleva lehden nimiJOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Lehden akronyymiJ PHYS A-MATH THEOR

Artikkelin numeroARTN 395301

Vuosikerta52

Numero39

Sivujen määrä19

ISSN1751-8113

DOIhttps://doi.org/10.1088/1751-8121/ab3ae4

Rinnakkaistallenteen osoitehttps://research.utu.fi/converis/portal/detail/Publication/42518681


Tiivistelmä
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.

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Last updated on 2024-26-11 at 17:05