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arXiv · 1602.04968

Generalising Wigner's theorem

Gniewomir Sarbicki·Dariusz Chruściński·Marek Mozrzymas
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Abstract

We analyse linear maps of operator algebras $\mathcal{B}_H(\mathcal{H})$ mapping the set of rank-$k$ projectors onto the set of rank-$l$ projectors surjectively. We give a complete characterisation of such maps for prime $n = \dim\mathcal{H}$. The solution is known for $k=l=1$ as the Wigner's theorem.

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Gniewomir Sarbicki, Dariusz Chruściński, Marek Mozrzymas. 2016-04-12. Generalising Wigner's theorem. https://doi.org/10.1088/1751-8113%2F49%2F30%2F305302

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