Elementary Proof for Asymptotics of Large Haar-Distributed Unitary Matrices

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dc.creatorMastrodonato, Christian
dc.creatorTumulka, Roderich
dc.date2007-05-22
dc.date2007-10-03
dc.date.accessioned2026-07-07T08:46:36Z
dc.date.available2026-07-07T08:46:36Z
dc.descriptionWe provide an elementary proof for a theorem due to Petz and Réffy which states that for a random $n\times n$ unitary matrix with distribution given by the Haar measure on the unitary group U(n), the upper left (or any other) $k\times k$ submatrix converges in distribution, after multiplying by a normalization factor $\sqrt{n}$ and as $n\to\infty$, to a matrix of independent complex Gaussian random variables with mean 0 and variance 1.
dc.identifierhttps://arxiv.org/abs/0705.3146
dc.identifierhttp://arxiv.org/abs/0705.3146
dc.identifierLetters in Mathematical Physics 82 (2007) 51-59
dc.identifierdoi:10.1007/s11005-007-0194-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143301
dc.subjectProbability
dc.subjectQuantum Physics
dc.subject15A52, 60B10
dc.titleElementary Proof for Asymptotics of Large Haar-Distributed Unitary Matrices
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