Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-order of clocks and synchronism and quantum bounds for copying
  timing information   The statistical state of any (classical or quantum) system with non-trivial
time evolution can be interpreted as the pointer of a clock. The quality of
such a clock is given by the statistical distinguishability of its states at
different times. If a clock is used as a resource for producing another one the
latter can at most have the quality of the resource. We show that this
principle, formalized by a quasi-order, implies constraints on many physical
processes. Similarly, the degree to which two (quantum or classical) clocks are
synchronized can be formalized by a quasi-order of synchronism.
  Copying timing information is restricted by quantum no-cloning and
no-broadcasting theorems since classical clocks can only exist in the limit of
infinite energy. We show this quantitatively by comparing the Fisher timing
information of two output systems to the input's timing information. For
classical signal processing in the quantum regime our results imply that a
signal looses its localization in time if it is amplified and distributed to
many devices.

30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph