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Generalising Wigner's theorem
Published 16 Feb 2016 in quant-ph, math-ph, math.MP, and math.OA | (1602.04968v2)
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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