Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A witness to quantify high-dimensional entanglement   Exploiting photonic high-dimensional entanglement allows one to expand the
bandwidth of quantum communication and information processing protocols through
increased photon information capacity. However, the characterization of
entanglement in higher dimensions is experimentally challenging because the
number of measurements required scales unfavourably with dimension. While
bounds can be used to certify high-dimensional entanglement, they do not
quantify the degree to which quantum states are entangled. Here, we propose a
quantitative measure that is both an entanglement measure and a dimension
witness, which we coin the P-concurrence. We derive this measure by requiring
entanglement to extend to qubit subspaces that constitute the high-dimensional
state. The computation of the P-concurrence is not contingent on reconstructing
the full density matrix, and requires less measurements compared to standard
quantum state tomography by orders of magnitude. This allows for faster and
more efficient characterization of high-dimensional quantum states.

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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin