Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: What does the operator algebra of quantum statistics tell us about the
  objective causes of observable effects?   Quantum physics can only make statistical predictions about possible
measurement outcomes, and these predictions originate from an operator algebra
that is fundamentally different from the conventional definition of probability
as a subjective lack of information regarding the physical reality of the
system. In the present paper, I explore how the operator formalism accommodates
the vast number of possible states and measurements by characterizing its
essential function as a description of causality relations between initial
conditions and subsequent observations. It is shown that any complete
description of causality must involve non-positive statistical elements that
cannot be associated with any directly observable effects. The necessity of
non-positive elements is demonstrated by the uniquely defined mathematical
description of ideal correlations which explains the physics of maximally
entangled states, quantum teleportation and quantum cloning. The operator
formalism thus modifies the concept of causality by providing a universally
valid description of deterministic relations between initial states and
subsequent observations that cannot be expressed in terms of directly
observable measurement outcomes. Instead, the identifiable elements of
causality are necessarily non-positive and hence unobservable. The validity of
the operator algebra therefore indicates that a consistent explanation of the
various uncertainty limited phenomena associated with physical objects is only
possible if we learn to accept the fact that the elements of causality cannot
be reconciled with a continuation of observable reality in the physical object.

27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
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The categories of this paper are: econ
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc