Table 1 Number of PPT states in sample sets of size 10,000.

From: Almost complete solution for the NP-hard separability problem of Bell diagonal qutrits

Sample set

#PPT states

1

4869

2

5021

3

4901

4

5019

5

4982

6

4996

7

5014

8

5022

9

4969

10

5079

  1. Table shows ten sample sets containing 10,000 states each and the number of PPT states within. The empirical mean is 4987.2 with empirical standard deviation of 61.7. These results are in agreement with the expected mean of 5000 and standard deviation of 50 according to the binomial distribution. For the exemplary analysis below we use a sample size of 10,000 states. The determined empirical values imply that the obtained numbers for the size of relative volumes have an statistical error in the magnitude of \(10^{-3} = 0.1\%\).
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