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Almost any quantum information processing experiment starts, ideally, with the preparation of a quantum system in a nice pure state (and that pure state has to be recreated many times). But how could one measure directly the purity of that state? I show how laser speckle patterns lead to one solution of this problem. I will also discuss the other obvious question: how can one verify that one repeatedly produces the same state in an experiment?
S.J. van Enk and C.W.J. Beenakker, Phys. Rev. Lett. 108, 110503 (2012).
Lucia Schwarz and S.J. van Enk, Phys. Rev. Lett. 106, 180501 (2011).