Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Randomness cost of masking quantum information and the information
  conservation law   Masking quantum information, which is impossible without randomness as a
resource, is a task that encodes quantum information into bipartite quantum
state while forbidding local parties from accessing to that information. In
this work, we disprove the geometric conjecture about unitarily maskable states
[K. Modi et al., Phys. Rev. Lett. 120, 230501 (2018)], and make an algebraic
analysis of quantum masking. First, we show a general result on quantum channel
mixing that a subchannel's mixing probability should be suppressed if its
classical capacity is larger than the mixed channel's capacity. This constraint
combined with the well-known information conservation law, a law that does not
exist in classical information theory, gives a lower bound of randomness cost
of masking quantum information as a monotone decreasing function of evenness of
information distribution. This result provides a consistency test for various
scenarios of fast scrambling conjecture on the black hole evaporation process.
The results given here are robust to incompleteness of quantum masking.

20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess