Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simulating extremal temporal correlations   The correlations arising from sequential measurements on a single quantum
system form a polytope. This is defined by the arrow-of-time (AoT) constraints,
meaning that future choices of measurement settings cannot influence past
outcomes. We discuss the resources needed to simulate the extreme points of the
AoT polytope, where resources are quantified in terms of the minimal dimension,
or "internal memory" of the physical system. First, we analyze the equivalence
classes of the extreme points under symmetries. Second, we characterize the
minimal dimension necessary to obtain a given extreme point of the AoT
polytope, including a lower scaling bound in the asymptotic limit of long
sequences. Finally, we present a general method to derive dimension-sensitive
temporal inequalities for longer sequences, based on inequalities for shorter
ones, and investigate their robustness to imperfections.

34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph