Induced Ginibre ensemble of random matrices and quantum operations

2012
journal article
article
40
dc.abstract.enA generalization of the Ginibre ensemble of non-Hermitian random square matrices is introduced. The corresponding probability measure is induced by the ensemble of rectangular Gaussian matrices via a quadratization procedure. We derive the joint probability density of eigenvalues for such an induced Ginibre ensemble and study various spectral correlation functions for complex and real matrices, and analyse universal behaviour in the limit of large dimensions. In this limit, the eigenvalues of the induced Ginibre ensemble cover uniformly a ring in the complex plane. The real induced Ginibre ensemble is shown to be useful to describe the statistical properties of evolution operators associated with random quantum operations for which the dimensions of the input state and the output state do differ.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.contributor.authorFischmann, Jonitpl
dc.contributor.authorBruzda, Wojciech - 159225 pl
dc.contributor.authorKhoruzhenko, Boris A.pl
dc.contributor.authorSommers, Hans-Jürgenpl
dc.contributor.authorŻyczkowski, Karol - 132981 pl
dc.date.accessioned2016-05-11T12:34:30Z
dc.date.available2016-05-11T12:34:30Z
dc.date.issued2012pl
dc.description.number7pl
dc.description.publication2,1pl
dc.description.volume45pl
dc.identifier.articleid075203pl
dc.identifier.doi10.1088/1751-8113/45/7/075203pl
dc.identifier.eissn1751-8121pl
dc.identifier.issn1751-8113pl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/25479
dc.languageengpl
dc.language.containerengpl
dc.rightsDodaję tylko opis bibliograficzny*
dc.rights.uri*
dc.subtypeArticlepl
dc.titleInduced Ginibre ensemble of random matrices and quantum operationspl
dc.title.journalJournal of Physics. A, Mathematical and Theoreticalpl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
A generalization of the Ginibre ensemble of non-Hermitian random square matrices is introduced. The corresponding probability measure is induced by the ensemble of rectangular Gaussian matrices via a quadratization procedure. We derive the joint probability density of eigenvalues for such an induced Ginibre ensemble and study various spectral correlation functions for complex and real matrices, and analyse universal behaviour in the limit of large dimensions. In this limit, the eigenvalues of the induced Ginibre ensemble cover uniformly a ring in the complex plane. The real induced Ginibre ensemble is shown to be useful to describe the statistical properties of evolution operators associated with random quantum operations for which the dimensions of the input state and the output state do differ.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.contributor.authorpl
Fischmann, Jonit
dc.contributor.authorpl
Bruzda, Wojciech - 159225
dc.contributor.authorpl
Khoruzhenko, Boris A.
dc.contributor.authorpl
Sommers, Hans-Jürgen
dc.contributor.authorpl
Życzkowski, Karol - 132981
dc.date.accessioned
2016-05-11T12:34:30Z
dc.date.available
2016-05-11T12:34:30Z
dc.date.issuedpl
2012
dc.description.numberpl
7
dc.description.publicationpl
2,1
dc.description.volumepl
45
dc.identifier.articleidpl
075203
dc.identifier.doipl
10.1088/1751-8113/45/7/075203
dc.identifier.eissnpl
1751-8121
dc.identifier.issnpl
1751-8113
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/25479
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Dodaję tylko opis bibliograficzny
dc.rights.uri*
dc.subtypepl
Article
dc.titlepl
Induced Ginibre ensemble of random matrices and quantum operations
dc.title.journalpl
Journal of Physics. A, Mathematical and Theoretical
dc.typepl
JournalArticle
dspace.entity.type
Publication

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