Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement Transition in the Projective Transverse Field Ising Model   Discrete quantum trajectories of systems under random unitary gates and
projective measurements have been shown to feature transitions in the
entanglement scaling that are not encoded in the density matrix. In this paper,
we study the projective transverse field Ising model, a stochastic model with
two noncommuting projective measurements and no unitary dynamics. We
numerically demonstrate that their competition drives an entanglement
transition between two distinct steady states that both exhibit area law
entanglement, and introduce a classical but nonlocal model that captures the
entanglement dynamics completely. Exploiting a map to bond percolation, we
argue that the critical system in one dimension is described by a conformal
field theory, and derive the universal scaling of the entanglement entropy and
the critical exponent for the scaling of the mutual information of two spins
exactly. We conclude with an interpretation of the entanglement transition in
the context of quantum error correction.

16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg