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

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  • Yulong Tian
  • Jinli Xu
  • Palanivel M.

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.

Suggested Citation

  • Yulong Tian & Jinli Xu & Palanivel M., 2024. "Symmetry Transformations on the Set of Tensor Products of Rank-1 Idempotents," Journal of Mathematics, Hindawi, vol. 2024, pages 1-7, September.
    • Handle: RePEc:hin:jjmath:2384295
    DOI: 10.1155/2024/2384295
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