The number of orthogonal conjugations
classification
🪐 quant-ph
math-phmath.MP
keywords
conjugationsnumberorthogonalanti-linearityboundsdimensiondimensionshilbert
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After a short introduction to anti-linearity, bounds for the number of orthogonal (skew) conjugations are proved. They are saturated if the dimension of the Hilbert space is a power of two. For the other dimensions this is an open problem.
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