Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uncertainty relation between detection probability and energy
  fluctuations   A classical random walker starting on a node of a finite graph will always
reach any other node since the search is ergodic, namely it is fully exploring
space, hence the arrival probability is unity. For quantum walks, destructive
interference may induce effectively non-ergodic features in such search
processes. Under repeated projective local measurements, made on a target
state, the final detection of the system is not guaranteed since the Hilbert
space is split into a bright subspace and an orthogonal dark one. Using this we
find an uncertainty relation for the deviations of the detection probability
from its classical counterpart, in terms of the energy fluctuations.

24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th