Bulletin of the American Physical Society
APS March Meeting 2019
Volume 64, Number 2
Monday–Friday, March 4–8, 2019; Boston, Massachusetts
Session Y27: Quantum Foundations III
11:15 AM–2:15 PM,
Friday, March 8, 2019
BCEC Room: 160C
Sponsoring Unit: DQI
Chair: John DeBrota, University of Massachusetts Boston
Abstract: Y27.00007 : Noninformative prior of the quantum statistical model in the qubit system*
12:51 PM–1:03 PM
In the classical Bayesian statistics, there is no universal criterion and still there are many works on the choice of a noninformative prior like the famous Jeffreys prior. The most famous one is Bernardo's criterion, which deals with the maximization of the mutual information. However, its formal extension is troublesome because the quantum relative entropy between two pure states diverges.
Recently the author proposed another way based on the quantum detection game, which is well-defined in pure-states model. In this talk, as further development, we extend the argument to general qubit models, which yields Bures geometry.
*This work was supported by JSPS KAKENHI Grant Numbers 16H04382.
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