47,961 research outputs found
On the Implementation of Efficient Channel Filters for Wideband Receivers by Optimizing Common Subexpression Elimination Methods
No abstract availabl
Minimum Restraint Functions for unbounded dynamics: general and control-polynomial systems
We consider an exit-time minimum problem with a running cost, and
unbounded controls. The occurrence of points where can be regarded as a
transversality loss. Furthermore, since controls range over unbounded sets, the
family of admissible trajectories may lack important compactness properties. In
the first part of the paper we show that the existence of a -minimum
restraint function provides not only global asymptotic controllability (despite
non-transversality) but also a state-dependent upper bound for the value
function (provided ). This extends to unbounded dynamics a former result
which heavily relied on the compactness of the control set.
In the second part of the paper we apply the general result to the case when
the system is polynomial in the control variable. Some elementary, algebraic,
properties of the convex hull of vector-valued polynomials' ranges allow some
simplifications of the main result, in terms of either near-affine-control
systems or reduction to weak subsystems for the original dynamics.Comment: arXiv admin note: text overlap with arXiv:1503.0344
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Intelligent techniques in condition monitoring based on forecasting of vibrational signals
Summary of Experimental Meson Physics
A summary of the present experimental status of meson physics is presented.
The presentation includes the new results presented at the MESON06 workshop, as
well as other recent experimental developments in the field.Comment: 15 pages, 6 figures, presented at 9th International Workshop on Meson
Production, Properties and Interaction, Krakow, Poland, June 200
Duality in Entanglement-Assisted Quantum Error Correction
The dual of an entanglement-assisted quantum error-correcting (EAQEC) code is
defined from the orthogonal group of a simplified stabilizer group. From the
Poisson summation formula, this duality leads to the MacWilliams identities and
linear programming bounds for EAQEC codes. We establish a table of upper and
lower bounds on the minimum distance of any maximal-entanglement EAQEC code
with length up to 15 channel qubits.Comment: This paper is a compact version of arXiv:1010.550
Cusp-scaling behavior in fractal dimension of chaotic scattering
A topological bifurcation in chaotic scattering is characterized by a sudden
change in the topology of the infinite set of unstable periodic orbits embedded
in the underlying chaotic invariant set. We uncover a scaling law for the
fractal dimension of the chaotic set for such a bifurcation. Our analysis and
numerical computations in both two- and three-degrees-of-freedom systems
suggest a striking feature associated with these subtle bifurcations: the
dimension typically exhibits a sharp, cusplike local minimum at the
bifurcation.Comment: 4 pages, 4 figures, Revte
Entanglement-Assisted Quantum Error-Correcting Codes with Imperfect Ebits
The scheme of entanglement-assisted quantum error-correcting (EAQEC) codes
assumes that the ebits of the receiver are error-free. In practical situations,
errors on these ebits are unavoidable, which diminishes the error-correcting
ability of these codes. We consider two different versions of this problem. We
first show that any (nondegenerate) standard stabilizer code can be transformed
into an EAQEC code that can correct errors on the qubits of both sender and
receiver. These EAQEC codes are equivalent to standard stabilizer codes, and
hence the decoding techniques of standard stabilizer codes can be applied.
Several EAQEC codes of this type are found to be optimal. In a second scheme,
the receiver uses a standard stabilizer code to protect the ebits, which we
call a "combination code." The performances of different quantum codes are
compared in terms of the channel fidelity over the depolarizing channel. We
give a formula for the channel fidelity over the depolarizing channel (or any
Pauli error channel), and show that it can be efficiently approximated by a
Monte Carlo calculation. Finally, we discuss the tradeoff between performing
extra entanglement distillation and applying an EAQEC code with imperfect
ebits.Comment: 15 pages, 12 figure
molecular ions can exist in strong magnetic fields
Using the variational method it is shown that for magnetic fields G there can exist a molecular ion .Comment: LaTeX, 7 pp, 1 table, 4 figures. Title modified. Consideration of the
longitudinal size of the system was adde
Calibration of shielded microwave probes using bulk dielectrics
A stripline-type near-field microwave probe is microfabricated for microwave
impedance microscopy. Unlike the poorly shielded coplanar probe that senses the
sample tens of microns away, the stripline structure removes the stray fields
from the cantilever body and localizes the interaction only around the
focused-ion beam deposited Pt tip. The approaching curve of an oscillating tip
toward bulk dielectrics can be quantitatively simulated and fitted to the
finite-element analysis result. The peak signal of the approaching curve is a
measure of the sample dielectric constant and can be used to study unknown bulk
materials.Comment: 10 pages, 3 figure
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