Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Intersubjectivity of outcomes of quantum measurements   Every measurement determines a single value as its outcome, and yet quantum
mechanics predicts it only probabilistically. The Kochen-Specker theorem and
Bell's inequality, enforced by the recent loophole-free experimental tests,
reject a realist view that any observable has its own value at any time
consistent with the statistical predictions of quantum mechanics, and favor a
skeptical view that measuring an observable does not mean ascertaining the
value that it has, but producing the outcome, having only a personal meaning.
However, precise analysis supporting this view is unknown. Here, we show that a
quantum mechanical analysis turns down this view. Suppose that two observers
simultaneously measure the same observable. We ask whether they always obtain
the same outcomes, or their probability distributions are the same but the
outcomes are uncorrelated. Contrary to the widespread view in favor of the
second, we shall show that quantum mechanics predicts that only the first case
occurs. This suggests the existence of a correlation between the measurement
outcome and the pre-existing value of the measured observable as a common cause
for the coincidence of the outcomes. In fact, we shall show that any
measurement establishes a time-like entanglement between the observable to be
measured and the meter after the measurement, which causes the space-like
entanglement between the meters of different observers. We also argue that our
conclusion cannot be extended to measurements of so-called "generalized"
observables, suggesting a demand for more careful analysis on the notion of
observables in foundations of quantum mechanics.

29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat