Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Understanding holographic error correction via unique algebras and
  atomic examples   We introduce a fully constructive characterisation of holographic quantum
error-correcting codes. That is, given a code and an erasure error we give a
recipe to explicitly compute the terms in RT formula. Using this formalism, we
employ quantum circuits to construct a number of examples of holographic codes.
Our codes have nontrivial holographic properties and are simpler than existing
approaches built on tensor networks. Finally, leveraging a connection between
correctable and private systems we prove the uniqueness of the algebra
satisfying complementary recovery. The material is presented with the goal of
accessibility to researchers in quantum information with no prior background in
holography.

14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex