Symmetry Transformations on the Set of Tensor Products of Rank-1 Idempotents

Yulong Tian, Jinli Xu and Palanivel M.

Journal of Mathematics, 2024, vol. 2024, 1-7

Abstract: We obtain a characterization of bijective maps preserving the trace of products on the set of tensor products of rank-1 idempotents, which may be considered as a generalization of Molnár’s Wigner-type theorem in multipartite systems. The proof is based on the studies in linear preserver problems on tensor products. Moreover, a corresponding result on the finite-dimensional case is presented.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2384295

DOI: 10.1155/2024/2384295

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