Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local Hidden Variable Theoretic Measure of Quantumness of Mutual
  Information   Entanglement, a manifestation of quantumness of correlations between the
observables of the subsystems of a composite system, and the quantumness of
their mutual information are widely studied characteristics of a system of
spin-1/2 particles. The concept of quantumness of correlations between the
observables of a system is based on incommensurability of the correlations with
the predictions of some local hidden variable (LHV) theory. However, the
concept of quantumness of mutual information does not invoke the LHV theory
explicitly. In this paper, by invoking explicitly the local hidden variable
theory, a measure of quantumness of mutual information, $Q_{LHV}$, for a system
of two spin-1/2 particles is proposed. It is based on finding the difference
between the quantum and classical mutual informations in which the classical
mutual information corresponds to the joint probability of the eigenvalues of
the spins each along a specified direction. The proposed measure circumvents
the need of optimization when the Bloch vector of each spin is non-zero; the
optimization is needed but can be performed analytically exactly when the Bloch
vector of each spin vanishes and is simplified when the Bloch vector of only
one of the spins is zero. In essence, the proposed measure is identical with
the measurement induced disturbance when the Bloch vector of each of the spins
is non-zero. However, whereas the measurement induced disturbance is non-unique
when the Bloch vector of one or both the spins is zero, the proposed measure
even then determines the quantumness of mutual information unambiguously. The
$Q_{LHV}$ is identical with the symmetric discord if the Bloch vector of each
spin vanishes. It is same as the quantum discord if the Bloch vector of only
one spin is zero and if the state in question possesses certain additional
properties.

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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph