Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: State-Independent Error-Disturbance Tradeoff For Measurement Operators   In general, classical measurement statistics of a quantum measurement is
disturbed by performing an additional incompatible quantum measurement
beforehand. Using this observation, we introduce a state-independent definition
of disturbance by relating it to the distinguishability problem between two
classical statistical distributions --- one resulting from a single quantum
measurement and the other from a succession of two quantum measurements.
Interestingly, we find an error-disturbance trade-off relation for any
measurements in two-dimensional Hilbert space and for measurements with
mutually unbiased bases in any finite-dimensional Hilbert space. This relation
shows that error should be reduced to zero in order to minimize the sum of
error and disturbance. We conjecture that a similar trade-off relation can be
generalized to any measurements in an arbitrary finite-dimensional Hilbert
space.

34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol