Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Incorporating Heisenberg's Uncertainty Principle into Quantum
  Multiparameter Estimation   The quantum multiparameter estimation is very different from the classical
multiparameter estimation due to Heisenberg's uncertainty principle in quantum
mechanics. When the optimal measurements for different parameters are
incompatible, they cannot be jointly performed. We find a correspondence
relationship between the inaccuracy of a measurement for estimating the unknown
parameter with the measurement error in the context of measurement uncertainty
relations. Taking this correspondence relationship as a bridge, we incorporate
Heisenberg's uncertainty principle into quantum multiparameter estimation by
giving a tradeoff relation between the measurement inaccuracies for estimating
different parameters. For pure quantum states, this tradeoff relation is tight,
so it can reveal the true quantum limits on individual estimation errors in
such cases. We apply our approach to derive the tradeoff between attainable
errors of estimating the real and imaginary parts of a complex signal encoded
in coherent states and obtain the joint measurements attaining the tradeoff
relation. We also show that our approach can be readily used to derive the
tradeoff between the errors of jointly estimating the phase shift and phase
diffusion without explicitly parameterizing quantum measurements.

33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat