Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Von Neumann Measurement is Optimal for Detecting Linearly Independent
  Mixed Quantum States   We consider the problem of designing a measurement to minimize the
probability of a detection error when distinguishing between a collection of
possibly non-orthogonal mixed quantum states. We show that if the quantum state
ensemble consists of linearly independent density operators then the optimal
measurement is an orthogonal Von Neumann measurement consisting of mutually
orthogonal projection operators and not a more general positive operator-valued
measure.

24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph