10,629 research outputs found
Programmable purification of type-I polarization-entanglement
We suggest and demonstrate a scheme to compensate spatial and spectral
decoherence effects in the generation of polarization entangled states by
type-I parametric downconversion. In our device a programmable spatial light
modulator imposes a polarization dependent phase-shift on different spatial
sections of the overall downconversion output and this effect is exploited to
realize an effective purification technique for polarization entanglement.Comment: published versio
Theory of continuum percolation I. General formalism
The theoretical basis of continuum percolation has changed greatly since its
beginning as little more than an analogy with lattice systems. Nevertheless,
there is yet no comprehensive theory of this field. A basis for such a theory
is provided here with the introduction of the Potts fluid, a system of
interacting -state spins which are free to move in the continuum. In the limit, the Potts magnetization, susceptibility and correlation functions
are directly related to the percolation probability, the mean cluster size and
the pair-connectedness, respectively. Through the Hamiltonian formulation of
the Potts fluid, the standard methods of statistical mechanics can therefore be
used in the continuum percolation problem.Comment: 26 pages, Late
Efficacy and safety of trabeculectomy vs nonpenetrating surgical procedures: a systematic review and meta-analysis
To date, only a few studies have directly compared nonpenetrating surgery (NPS) and trabeculectomy (TE). Therefore, there is no strong evidence as to which surgical technique leads to the best results in terms of ocular hypotensive effect and safety
Estimates of the total gravitation radiation in the head-on black hole collision
We report on calculations of the total gravitational energy radiated in the
head-on black hole collision, where we use the geometry of the
Robinson-Trautman metrics.Comment: 10 pages, 2 figures, LaTeX2
A Renormalization Proof of the KAM Theorem for Non-Analytic Perturbations
We shall use a Renormalization Group (RG) scheme in order to prove the
classical KAM result in the case of a non-analytic perturbation (the latter
will be assumed to have continuous derivatives up to a sufficiently large
order). We shall proceed by solving a sequence of problems in which the
perturbations are analytic approximations of the original one. We shall finally
show that the sequence of the approximate solutions will converge to a
differentiable solution of the original problem.Comment: 33 pages, no figure
Matrix permanent and quantum entanglement of permutation invariant states
We point out that a geometric measure of quantum entanglement is related to
the matrix permanent when restricted to permutation invariant states. This
connection allows us to interpret the permanent as an angle between vectors. By
employing a recently introduced permanent inequality by Carlen, Loss and Lieb,
we can prove explicit formulas of the geometric measure for permutation
invariant basis states in a simple way.Comment: 10 page
Estimation of pure qubits on circles
Gisin and Popescu [PRL, 83, 432 (1999)] have shown that more information
about their direction can be obtained from a pair of anti-parallel spins
compared to a pair of parallel spins, where the first member of the pair (which
we call the pointer member) can point equally along any direction in the Bloch
sphere. They argued that this was due to the difference in dimensionality
spanned by these two alphabets of states. Here we consider similar alphabets,
but with the first spin restricted to a fixed small circle of the Bloch sphere.
In this case, the dimensionality spanned by the anti-parallel versus parallel
alphabet is now equal. However, the anti-parallel alphabet is found to still
contain more information in general. We generalize this to having N parallel
spins and M anti-parallel spins. When the pointer member is restricted to a
small circle these alphabets again span spaces of equal dimension, yet in
general, more directional information can be found for sets with smaller |N-M|
for any fixed total number of spins. We find that the optimal POVMs for
extracting directional information in these cases can always be expressed in
terms of the Fourier basis. Our results show that dimensionality alone cannot
explain the greater information content in anti-parallel combinations of spins
compared to parallel combinations. In addition, we describe an LOCC protocol
which extract optimal directional information when the pointer member is
restricted to a small circle and a pair of parallel spins are supplied.Comment: 23 pages, 8 figure
Barbero-Immirzi field in canonical formalism of pure gravity
The Barbero-Immirzi (BI) parameter is promoted to a field and a canonical
analysis is performed when it is coupled with a Nieh-Yan topological invariant.
It is shown that, in the effective theory, the BI field is a canonical
pseudoscalar minimally coupled with gravity. This framework is argued to be
more natural than the one of the usual Holst action. Potential consequences in
relation with inflation and the quantum theory are briefly discussed.Comment: 10 page
Feeding dehydrated alfalfa increases polyunsaturated fatty acids concentration in Marchigiana beef muscle
Beef meat is a low fat food (<5% fat). However, the fatty acid composition of beef is relatively saturated (approximately 45-50%). The polyunsaturated/saturated fatty acids (P/S) ratio in beef is approximately 0.1, the ideal being about 0.4 (Department of Health, 1994). This can cause critical comments to beef meat related to human health
Spherically symmetric black holes in minimally modified self-dual gravity
We discuss spherically symmetric black holes in the modified self-dual theory
of gravity recently studied by Krasnov, obtained adding a Weyl-curvature
dependent `cosmological term' to the Plebanski lagrangian for general
relativity. This type of modified gravity admits two different types of
singularities: one is a true singularity for the theory where the fundamental
fields of the theory, as well as the (auxiliary) spacetime metric, become
singular, and the other one is a milder "non-metric singularity" where the
metric description of the spacetime breaks down but the fundamental fields
themselves are regular. We first generalise this modified self-dual gravity to
include Maxwell's field and then study basic features of spherically symmetric,
charged black holes, with particular focus on whether these two types of
singularities are hidden or naked. We restrict our attention to minimal forms
of the modification, and find that the theory exhibits `screening' effects of
the electric charge (or `anti-screening', depending upon the sign of the
modification term), in the sense that it leads to the possibility of charging
the black hole more (or less) than it would be possible in general relativity
without exposing a naked singularity. We also find that for any (even
arbitrarily large) value of charge, true singularities of the theory appear to
be either achronal (non-timelike) covered by the hypersurface of a harmless
non-metric singularity, or simply hidden inside at least one Killing horizon.Comment: 42 pages, many colour figures. v2: discussion of the conformal
ambiguity improved, references added. v3: amended to match published versio
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