Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Test of mutually unbiased bases for six-dimensional photonic quantum
  systems   In quantum information, complementarity of quantum mechanical observables
plays a key role. If a system resides in an eigenstate of an observable, the
probability distribution for the values of a complementary observable is flat.
The eigenstates of these two observables form a pair of mutually unbiased bases
(MUBs). More generally, a set of MUBs consists of bases that are all pairwise
unbiased. Except for specific dimensions of the Hilbert space, the maximal sets
of MUBs are unknown in general. Even for a dimension as low as six, the
identification of a maximal set of MUBs remains an open problem, although there
is strong numerical evidence that no more than three simultaneous MUBs do
exist. Here, by exploiting a newly developed holographic technique, we
implement and test different sets of three MUBs for a single photon
six-dimensional quantum state (a qusix), encoded either in a hybrid
polarization-orbital angular momentum or a pure orbital angular momentum
Hilbert space. A close agreement is observed between theory and experiments.
Our results can find applications in state tomography, quantitative
wave-particle duality, quantum key distribution and tests on complementarity
and logical indeterminacy.

27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an