The channel capacity (10, 11) is the maximal mutual information H (x; y). In our experiment, the mutual information can be calculated asH(x;y)=y=04x=04p(x)p(y|x)log(p(y|x)x=04p(x)p(y|x))(7)where p(x) = {p11), p12), p13), p14), p23)}. The channel capacity in our experiment is 2.09 ± 0.01, which is slightly smaller than the limit of 2.32 owing to the imperfect four-dimensional Bell-state measurement.

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