4 ms·

It is just an artifact of the Euclidean distance. If one tries a different metric, the story would be different. It should not be that surprising.

• hgibbs 3y ago
  If you want to work in a Hilbert space (i.e. have angles) then you are stuck with the euclidean metric up to scaling of the axes.
  • deleted 3y ago
    [deleted]
  • quantum_state 3y ago
    Indeed … by definition … artifact of the choice then :-)
• behnamoh 3y ago
  Do you know of any other metrics that result in more intuitive properties?
  • mjd 3y ago
    Consider the metric where the distance between <a1, a2, …> and <b1, b2, …> is max(|a1-b1|, |a2-b2|, …) In the this metric, no point of a unit n-cube is more than one unit from any other point.
    • thfuran 3y ago
      I don't think L Infinity norm is an intuitive distance metric at all.