Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Holographic Interpretation of Relative State Complexity   We investigate a large-$N$ CFT in a high-energy pure state coupled to a small
auxiliary system of $M$ weakly-interacting degrees of freedom, and argue the
relative state complexity of the auxiliary system is holographically dual to an
effective low-energy notion of computational cost in the bulk, \textit{i.e.} to
the minimal depth of the quantum circuit required to decode its gravitational
dual. In light of this, using Nielsen's approach, a new measure of quantum
chaos in terms of the evolution of circuit complexity is proposed. It suggests
that studying the evolution of circuit complexity of the auxiliary system can
teach us about the chaotic properties of the large-$N$ CFT. This new diagnostic
for quantum chaos has important implications for the interior dynamics of
evaporating black holes as it implies the radiated Hawking cloud is
pseudorandom.

28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat