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- Title
Answer to a question by A. Mandarino, T. Linowski and K. Życzkowski.
- Authors
Popa, Mihai
- Abstract
A recent work by Mandarino, Linowski and Życzkowski left open the following question. If μ N is a certain permutation of entries of an N 2 × N 2 matrix ("mixing map") and U N is an N 2 × N 2 Haar unitary random matrix, then is the family U N , U N μ N , (U N 2) μ N , ... , (U N m) μ N asymptotically free? (Here by A μ we understand the matrix resulted by permuting the entries of A according to the permutation μ.) This paper presents some techniques for approaching such problems. In particular, one easy consequence of the main result is that the question above has an affirmative answer.
- Subjects
RANDOM matrices; PERMUTATIONS; OPEN-ended questions
- Publication
Infinite Dimensional Analysis, Quantum Probability & Related Topics, 2024, Vol 27, Issue 2, p1
- ISSN
0219-0257
- Publication type
Article
- DOI
10.1142/S0219025723500054