11,394 research outputs found
An alternative way to explain how non-commutativity arises in the bosonic string theory
In this work we will investigate how the non-commutativity arises into the
string theory, \textit{i.e.}, how the bosonic string theory attaches to a
D3-brane in the presence of magnetic fields. In order to accomplish the
proposal, we departure from the commutative two-dimensional harmonic
oscillator, which after the application of the general Bopp's shifts Matrix
Method, the non-commutative version of the two-dimensional harmonic oscillator
is obtained. After that, this non-commutative harmonic oscillator will be
mapped into the bosonic string theory in the light cone frame, which it now
appears as a bosonic string theory attached to a D3-brane
Noncommutative approach to diagnose degenerate Higgs bosons at 125 GeV
We propose a noncommutative (NC) version for a global O(2) scalar field
theory, whose damping feature is introduced into the scalar field theory
through the NC parameter. In this context, we investigate how noncommutative
drives spontaneous symmetry breaking (SSB) and Higgs-Kibble mechanisms and how
the damping feature workout. Indeed, we show that the noncommutativity plays an
important role in such mechanisms, i.e., the Higgs mass and VEV dependent on NC
parameter. After that, it is explored the consequences of noncommutativity
dependence of Higgs mass and VEV: for the first, it is shown that there are a
mass-degenerate Higgs bosons near 126.5 GeV, parametrized by the
noncommutativity; for the second, the gauge fields gain masses that present a
noncommutativity contribution.Comment: 13 pages, 2 figure
Measurement strategy for spatially encoded photonic qubits
We propose a measurement strategy which can, probabilistically, reproduce the
statistics of any observable for spatially encoded photonic qubits. It
comprises the implementation of a two-outcome positive operator-valued measure
followed by a detection in a fixed transverse position, making the displacement
of the detection system unnecessary, unlike previous methods. This strategy
generalizes a scheme recently demonstrated by one of us and co-workers
restricted to measurement of observables with equatorial eigenvectors only. The
method presented here can be implemented with the current technology of
programmable multipixel liquid-crystal displays. In addition, it can be
straightforwardly extended to high-dimensional qudits and may be a valuable
tool in optical implementations of quantum information protocols with spatial
qubits and qudits.Comment: 5 pages, 2 figures. Published versio
Noncommutative Mapping from the symplectic formalism
The Bopp's shifts will be generalized through symplectic formalism. A special
procedure, like a "diagonalization", which drives the completely deformed
symplectic matrix to the standard symplectic form was found as suggested by
Faddeev-Jackiw. Consequently, the correspondent transformation matrix guides
the mapping from commutative to noncommutative (NC) phase-space coordinates.
The Bopp's shifts may be directly generalized from this mapping. In this
context, all the NC and scale parameters, introduced into the brackets, will be
lifted to the Hamiltonian. Well known results, obtained using -product,
will be reproduced without to consider that the NC parameters are small.
Besides, it will be shown that different choices for NC algebra among the
symplectic variables generates distinct dynamical systems, which they may not
even connect with each other, and that some of them can preserve, break or
restore the symmetry of the system. Further, we will also discuss the charge
and mass rescaling in a simple model.Comment: 24 page
Noncommutative approach to disclose a Higgs group
A noncommutative(NC) version for a global scalar field theory is
proposed and an alternative investigation about how noncommutative drives
spontaneous symmetry breaking (SSB) is explored. Indeed, we show that the
noncommutativity plays an important role in such mechanism, i.e., it is
possible to show that there is a Higgs group with no more than two Higgs
bosons. In this scenario, we establish two mutually exclusive options: one
Higgs boson with mass at 125 GeV and other at 750 GeV -- 2 TeV excess does not
imply a 2 TeV mass resonance -- or two Higgs bosons with mass-degenerate near
125~GeV, where 2 TeV and 750 GeV excesses do not imply a 2 TeV and 750 GeV
masses resonance.Comment: arXiv admin note: text overlap with arXiv:1903.0972
A -model and the magnetism of a dark fermion candidate
Our contribution sets out to investigate the phenomenology of a gauge model
based on an -symmetry group.
The model can accommodate, through its symmetry-breaking pattern, a candidate
to a heavy -boson at the TeV-scale. The extended Higgs sector introduces a
heavy scalar whose mass lies in the region 1.2-3.7 \, \mbox{TeV}. The fermion
sector includes an exotic candidate to Dark Matter that mixes with the
right-handed neutrino component in the Higgs sector, so that the whole field
content ensures the cancellation of the -quiral anomaly. The masses are
fixed according to the particular way the symmetry breaking takes place. In
view of the possible symmetry breakdown pattern, we study the phenomenological
implications in a high-energy scenario. We worek out the magnetic dipole
momentum (MDM) of the exotic fermion and the transition MDM due to its mixing
with the right-neutrino.Comment: 12 pages, 7 figures, 1 tabl
Quantum teleportation via maximum-confidence quantum measurements
We investigate the problem of teleporting unknown qudit states via pure
quantum channels with nonmaximal Schmidt rank. This process is mapped to the
problem of discriminating among nonorthogonal symmetric states which are
linearly dependent and equally likely. It is shown that by applying an
optimized maximum-confidence (MC) measurement for accomplishing this task, one
reaches the maximum possible teleportation fidelity after a conclusive event in
the discrimination process, which in turn occurs with the maximum success
probability. In this case, such fidelity depends only on the Schmidt rank of
the channel and it is larger than the optimal one achieved, deterministically,
by the standard teleportation protocol. Furthermore, we show that there are
quantum channels for which it is possible to apply a k-stage sequential MC
measurement in the discrimination process such that a conclusive event at any
stage leads to a teleportation fidelity above the aforementioned optimal one
and, consequently, increases the overall success probability of teleportation
with a fidelity above this limit.Comment: 14 pages, 6 figure
Parametric separation of symmetric pure quantum states
Quantum state separation is a probabilistic map that transforms a given set
of pure states into another set of more distinguishable ones. Here we
investigate such a map acting onto uniparametric families of symmetric linearly
dependent or independent quantum states. We obtained analytical solutions for
the success probability of the maps--which is shown to be optimal--as well as
explicit constructions in terms of positive operator valued measures. Our
results can be used for state discrimination strategies interpolating
continuously between minimum-error and unambiguous (or maximum-confidence)
discrimination, which, in turn, have many applications in quantum information
protocols. As an example, we show that quantum teleportation through a
nonmaximally entangled quantum channel can be accomplished with higher
probability than the one provided by unambiguous (or maximum-confidence)
discrimination and with higher fidelity than the one achievable by
minimum-error discrimination. Finally, an optical network is proposed for
implementing parametric state separation.Comment: 13 pages, 5 figure
Experimental minimum-error quantum-state discrimination in high dimensions
Quantum mechanics forbids perfect discrimination among nonorthogonal states
through a single shot measurement. To optimize this task, many strategies were
devised that later became fundamental tools for quantum information processing.
Here, we address the pioneering minimum-error (ME) measurement and give the
first experimental demonstration of its application for discriminating
nonorthogonal states in high dimensions. Our scheme is designed to distinguish
symmetric pure states encoded in the transverse spatial modes of an optical
field; the optimal measurement is performed by a projection onto the Fourier
transform basis of these modes. For dimensions ranging from D = 2 to D = 21 and
nearly 14000 states tested, the deviations of the experimental results from the
theoretical values range from 0.3% to 3.6% (getting below 2% for the vast
majority), thus showing the excellent performance of our scheme. This ME
measurement is a building block for high-dimensional implementations of many
quantum communication protocols, including probabilistic state discrimination,
dense coding with nonmaximal entanglement, and cryptographic schemes.Comment: 13 pages, 13 figure
BPS Maxwell-Chern-Simons-like vortices in a Lorentz-violating framework
We have analyzed Maxwell-Chern-Simons-Higgs BPS vortices in a
Lorentz-violating CPT-odd context. The Lorentz violation induces profiles with
a conical behavior at the origin. For some combination of the coefficients for
Lorentz violation there always exists a sufficiently large winding number for
which the magnetic field flips its sign.Comment: Presented at the Sixth Meeting on CPT and Lorentz Symmetry,
Bloomington, Indiana, June 17-21, 201
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