Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adversarial vs cooperative quantum estimation   We address the estimation of a one-parameter family of isometries taking one
input into two output systems. This primarily allows us to consider imperfect
estimation by accessing only one output system, i.e. through a quantum channel.
Then, on the one hand, we consider separate and adversarial control of the two
output systems to introduce the concept of \emph{privacy of estimation}. On the
other hand we conceive the possibility of separate but cooperative control of
the two output systems. Optimal estimation strategies are found according to
the minimum mean square error. This also implies the generalization of
Personik's theorem to the case of local measurements. Finally, applications to
two-qubit unitaries (with one qubit in a fixed input state) are discussed.

8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg