Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Possibility of a minimal purity-measurement scheme critically depends on
  the parity of dimension of the quantum system   In this paper, we investigate the possibility of measuring the purity of a
quantum state (and the overlap between two quantum states) within a minimal
model where the measurement device is minimally composed. The minimality is
based on the assumptions that (i) we use a yes-no measurement on a single
system to determine the single value of the purity in order not to extract
other redundant information, and (ii) we use neither ancilla nor random
measurement. We show that the measurability of the purity within this model
critically depends on the parity of dimension of the quantum system: the purity
measurement is possible for odd dimensional quantum systems, while it is
impossible for even dimensional cases.

9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con