Nochmal nen Nachtrag zum Vorpost etwas anders:
Zitat:
In order to determine how fast a quantum system can evolve from one state to another, it's necessary to be able to distinguish between the two states, and there are multiple ways to do this. In the new study, the physicists used a general method based on information geometry. From a geometric perspective, two distinguishable states can be represented by two points on the surface of some shape, such as a sphere or other manifold. Previous research has shown that there are an infinite number of corresponding metrics that can be used to measure the distinguishability of two quantum states.
In the new study, the physicists have shown that each of these metrics corresponds to a different quantum speed limit. The "strictest" quantum speed limit is determined by the metric that gives the shortest distance (also known as a 'geodesic') between the two points, or states, as measured along the manifold's curved surface.
"A different quantum speed limit arises from each of these metrics in such a way that the tightest bound for a given dynamics is specified by the metric whose geodesic is best tailored to the given dynamical path," explained coauthor Marco Cianciaruso, also at Nottingham.
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Read more at:
https://phys.org/news/2016-06-physic...imits.html#jCp
Hat das grundsätzlich speziell etwas mit den "Dichtematrizen" bzw. der "Dichtematrix" zu tun, die es in der QM gibt?
BTW: Ich habe etwas gefunden beim kurz Suchen: aber mehr als die "Überschrift" habe ich davon nicht gelesen. Verlinke das trotzdem mal -->
Quantum mechanics in metric space: wave functions and their densities
https://arxiv.org/abs/1102.2329