Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wave-particle duality employing quantum coherence in superposition with
  non-orthogonal pointers   We propose the notion of quantum coherence for superpositions over states
which are not necessarily mutually orthogonal. This anticipatedly leads to a
resource theory of non-orthogonal coherence. We characterize free states and
free operations in this theory, and connect the latter with free operations in
the resource theory of quantum coherence for orthogonal bases. We show that the
concept of non-orthogonal coherence naturally furnishes us with a wave-particle
duality in quantum double-slit experiments where the channels beyond the slits
are leaky between them. Furthermore, we demonstrate existence of a unique
maximally coherent qubit state corresponding to any given purity. In addition,
and in contradistinction with the case of orthogonal bases, there appears a
non-trivial minimally coherent qubit state for a given purity. We also study
the behavior of quantum coherence for some typical configurations of
non-orthogonal bases which have no analogs for orthogonal bases. We further
investigate the problem of determining the energy cost of creating
non-orthogonal coherence, and find that it scales linearly with the
non-orthogonal coherence created.

12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat