UCL logo

UCL Discovery

UCL home » Library Services » Electronic resources » UCL Discovery

Partial transpose of permutation matrices

Hou, Q-H; Mansour, T; Severini, S; Partial transpose of permutation matrices.

Full text not available from this repository.


The partial transpose of a block matrix M is the matrix obtained by transposing the blocks of M independently. We approach the notion of partial transpose from a combinatorial point of view. In this perspective, we solve some basic enumeration problems concerning the partial transpose of permutation matrices. More specifically, we count the number of permutations matrices which are equal to their partial transpose and the number of permutation matrices whose partial transpose is still a permutation. We solve these problems also when restricted to symmetric permutation matrices only.

Type: Article
Title: Partial transpose of permutation matrices
Additional information: 13 pages
Keywords: math.CO, math.CO, quant-ph
URI: http://discovery.ucl.ac.uk/id/eprint/404732
Downloads since deposit
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item