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 <identifier>oai:arXiv.org:1412.8323</identifier>
 <datestamp>2017-12-14</datestamp>
 <setSpec>physics:hep-th</setSpec>
</header>
<metadata>
 <arXiv xmlns="http://arxiv.org/OAI/arXiv/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://arxiv.org/OAI/arXiv/ http://arxiv.org/OAI/arXiv.xsd">
 <id>1412.8323</id><created>2014-12-29</created><updated>2017-12-13</updated><authors><author><keyname>Hoehn</keyname><forenames>Philipp A</forenames></author></authors><title>Toolbox for reconstructing quantum theory from rules on information
  acquisition</title><categories>quant-ph gr-qc hep-th math-ph math.MP physics.hist-ph</categories><comments>78 pages, many figures, graphs and references. Version accepted for
  publication in Quantum (completed missing part in the proof of reversibility
  of time evolution, combined previous sections 6 and 7 to a rewritten section
  6, added clarifications and minor corrections throughout -- overall improved
  presentation, but results unaffected by revision)</comments><license>http://creativecommons.org/licenses/by/4.0/</license><abstract>  We develop an operational approach for reconstructing the quantum theory of
qubit systems from elementary rules on information acquisition. The focus lies
on an observer O interrogating a system S with binary questions and S's state
is taken as O's `catalogue of knowledge' about S. The mathematical tools of the
framework are simple and we attempt to highlight all underlying assumptions.
Four rules are imposed, asserting (1) a limit on the amount of information
available to O; (2) the mere existence of complementary information; (3) O's
total amount of information to be preserved in-between interrogations; and, (4)
O's `catalogue of knowledge' to change continuously in time in-between
interrogations and every consistent such evolution to be possible. This
approach permits a constructive derivation of quantum theory, elucidating how
the ensuing independence, complementarity and compatibility structure of O's
questions matches that of projective measurements in quantum theory, how
entanglement and monogamy of entanglement, non-locality and, more generally,
how the correlation structure of arbitrarily many qubits and rebits arises. The
rules yield a reversible time evolution and a quadratic measure, quantifying
O's information about S. Finally, it is shown that the four rules admit two
solutions for the simplest case of a single elementary system: the Bloch ball
and disc as state spaces for a qubit and rebit, respectively, together with
their symmetries as time evolution groups. The reconstruction for arbitrarily
many qubits is completed in a companion paper (arXiv:1511.01130) where an
additional rule eliminates the rebit case. This approach is inspired by (but
does not rely on) the relational interpretation and yields a novel formulation
of quantum theory in terms of questions.
</abstract></arXiv>
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<header>
 <identifier>oai:arXiv.org:1507.07790</identifier>
 <datestamp>2017-12-14</datestamp>
 <setSpec>physics:hep-th</setSpec>
</header>
<metadata>
 <arXiv xmlns="http://arxiv.org/OAI/arXiv/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://arxiv.org/OAI/arXiv/ http://arxiv.org/OAI/arXiv.xsd">
 <id>1507.07790</id><created>2015-07-28</created><updated>2016-03-04</updated><authors><author><keyname>Castro</keyname><forenames>Luis B.</forenames></author><author><keyname>Silva</keyname><forenames>Edilberto O.</forenames></author></authors><title>Relativistic quantum dynamics of vector bosons in an Aharonov-Bohm
  potential</title><categories>hep-th math-ph math.MP quant-ph</categories><comments>7 pages</comments><journal-ref>J. Phys. A: Math. Theor. 51 (2018) 035201</journal-ref><doi>10.1088/1751-8121/aa9c53</doi><license>http://arxiv.org/licenses/nonexclusive-distrib/1.0/</license><abstract>  The Aharonov-Bohm (AB) problem for vector bosons by the Duffin-Kemmer-Petiau
(DKP) formalism is analyzed. Depending on the values of the spin projection,
the relevant eigenvalue equation coming from the DKP formalism reveals an
equivalence to the spin-$1/2$ AB problem. By using the self-adjoint extension
approach, we examine the bound state scenario. The energy spectra are
explicitly computed as well as their dependencies on the magnetic flux
parameter and also the conditions for the occurrence of bound states.
</abstract></arXiv>
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<header>
 <identifier>oai:arXiv.org:1607.01710</identifier>
 <datestamp>2017-12-14</datestamp>
 <setSpec>physics:hep-th</setSpec>
</header>
<metadata>
 <arXiv xmlns="http://arxiv.org/OAI/arXiv/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://arxiv.org/OAI/arXiv/ http://arxiv.org/OAI/arXiv.xsd">
 <id>1607.01710</id><created>2016-07-06</created><updated>2016-10-13</updated><authors><author><keyname>Correa</keyname><forenames>R. A. C.</forenames></author><author><keyname>Dantas</keyname><forenames>D. M.</forenames></author><author><keyname>Moraes</keyname><forenames>P. H. R. S.</forenames></author><author><keyname>Dutra</keyname><forenames>A. de Souza</forenames></author><author><keyname>Almeida</keyname><forenames>C. A. S.</forenames></author></authors><title>Refinements of the Weyl pure geometrical thick branes from
  information-entropic measure</title><categories>hep-th</categories><doi>10.1002/andp.201700188</doi><license>http://arxiv.org/licenses/nonexclusive-distrib/1.0/</license><abstract>  This letter aims to analyse the so-called configurational entropy in the Weyl
pure geometrical thick brane model. The Weyl structure plays a prominent role
in the thickness of this model. We find a set of parameters associated to the
brane width where the configurational entropy exhibits critical points.
Furthermore, we show, by means of this information-theoretical measure, that a
stricter bound on the parameter of Weyl pure geometrical brane model arises
from the CE.
</abstract></arXiv>
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