Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Circuits assisted by LOCC: Transformations and Phases of Matter   We introduce deterministic state-transformation protocols between many-body
quantum states which can be implemented by low-depth Quantum Circuits (QC)
followed by Local Operations and Classical Communication (LOCC). We show that
this gives rise to a classification of phases in which topologically-ordered
states or other paradigmatic entangled states become trivial. We also
investigate how the set of unitary operations is enhanced by LOCC in this
scenario, allowing one to perform certain large-depth QC in terms of low-depth
ones.

21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat