Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evaluation of Counterfactuality in Counterfactual Communication
  Protocols   We provide an in-depth investigation of parameter estimation in Nested
Mach-Zehnder interferometers (NMZIs) using two information measures: the
Shannon mutual information and the classical Fisher information. Protocols for
counterfactual communition (CFC) have, so far, been based on two different
definitions of counterfactuality. In particular, some schemes have been based
on NMZI devices, but have recently been subject to criticism. We provide a
methodology for evaluating the counterfactuality of these protocols, based on
an information theoretical framework. More specifically, we make the assumption
that any realistic quantum channel in MZI structures will have some weak
uncontrolled interaction, and we use the Fisher information to measure
counterfactual violations. The measure is used to evaluate the suggested
counterfactual communication protocol by Salih et al. \cite{Salih13}. The
protocol of Arvidsson-Shukur and Barnes \cite{ArvShukur16}, based on a
different definition, is evaluated with a probability measure. Our results show
that the definition of Arvidsson-Shukur and Barnes is satisfied by their
scheme, whilst that of Salih et al. is only satisfied by perfect quantum
channels. For realistic devices the latter protocol does not achieve its
objective.

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The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga