Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discriminating single-photon states unambiguously in high dimensions   The ability to uniquely identify a quantum state is integral to quantum
science, but for non-orthogonal states, quantum mechanics precludes
deterministic, error-free discrimination. However, using the non-deterministic
protocol of unambiguous state discrimination (USD) enables error-free
differentiation of states, at the cost of a lower frequency of success. We
discriminate experimentally between non-orthogonal, high-dimensional states
encoded in single photons; our results range from dimension $d=2$ to $d=14$. We
quantify the performance of our method by comparing the total measured error
rate to the theoretical rate predicted by minimum-error state discrimination.
For the chosen states, we find a lower error rate by more than one standard
deviation for dimensions up to $d=12$. This method will find immediate
application in high-dimensional implementations of quantum information
protocols, such as quantum cryptography.

1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat