Relating the Bures Measure to the Cauchy Two-Matrix Model

Forrester PJ, Kieburg M (2016)
COMMUNICATIONS IN MATHEMATICAL PHYSICS 342(1): 151-187.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
Autor*in
Forrester, Peter J.; Kieburg, MarioUniBi
Abstract / Bemerkung
The Bures metric is a natural choice in measuring the distance of density operators representing states in quantum mechanics. In the past few years a random matrix ensemble and the corresponding joint probability density function of its eigenvalues was identified. Moreover, a relation with the Cauchy two-matrix model was discovered but never thoroughly investigated, leaving open in particular the following question: How are the kernels of the Pfaffian point process of the Bures random matrix ensemble related to the ones of the determinantal point process of the Cauchy two-matrix model, and moreover, how can it be possible that a Pfaffian point process derives from a determinantal point process? We give a very explicit answer to this question. The aim of our work has a quite practical origin since the calculation of the level statistics of the Bures ensemble is highly mathematically involved while we know the statistics of the Cauchy two-matrix ensemble. Therefore, we solve the whole level statistics of a density operator drawn from the Bures prior.
Erscheinungsjahr
2016
Zeitschriftentitel
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Band
342
Ausgabe
1
Seite(n)
151-187
ISSN
0010-3616
eISSN
1432-0916
Page URI
https://pub.uni-bielefeld.de/record/2901579

Zitieren

Forrester PJ, Kieburg M. Relating the Bures Measure to the Cauchy Two-Matrix Model. COMMUNICATIONS IN MATHEMATICAL PHYSICS. 2016;342(1):151-187.
Forrester, P. J., & Kieburg, M. (2016). Relating the Bures Measure to the Cauchy Two-Matrix Model. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 342(1), 151-187. doi:10.1007/s00220-015-2435-4
Forrester, Peter J., and Kieburg, Mario. 2016. “Relating the Bures Measure to the Cauchy Two-Matrix Model”. COMMUNICATIONS IN MATHEMATICAL PHYSICS 342 (1): 151-187.
Forrester, P. J., and Kieburg, M. (2016). Relating the Bures Measure to the Cauchy Two-Matrix Model. COMMUNICATIONS IN MATHEMATICAL PHYSICS 342, 151-187.
Forrester, P.J., & Kieburg, M., 2016. Relating the Bures Measure to the Cauchy Two-Matrix Model. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 342(1), p 151-187.
P.J. Forrester and M. Kieburg, “Relating the Bures Measure to the Cauchy Two-Matrix Model”, COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 342, 2016, pp. 151-187.
Forrester, P.J., Kieburg, M.: Relating the Bures Measure to the Cauchy Two-Matrix Model. COMMUNICATIONS IN MATHEMATICAL PHYSICS. 342, 151-187 (2016).
Forrester, Peter J., and Kieburg, Mario. “Relating the Bures Measure to the Cauchy Two-Matrix Model”. COMMUNICATIONS IN MATHEMATICAL PHYSICS 342.1 (2016): 151-187.
Export

Markieren/ Markierung löschen
Markierte Publikationen

Open Data PUB

Web of Science

Dieser Datensatz im Web of Science®
Suchen in

Google Scholar