4,003 research outputs found
Overview of Quantum Error Prevention and Leakage Elimination
Quantum error prevention strategies will be required to produce a scalable
quantum computing device and are of central importance in this regard. Progress
in this area has been quite rapid in the past few years. In order to provide an
overview of the achievements in this area, we discuss the three major classes
of error prevention strategies, the abilities of these methods and the
shortcomings. We then discuss the combinations of these strategies which have
recently been proposed in the literature. Finally we present recent results in
reducing errors on encoded subspaces using decoupling controls. We show how to
generally remove mixing of an encoded subspace with external states (termed
leakage errors) using decoupling controls. Such controls are known as ``leakage
elimination operations'' or ``LEOs.''Comment: 8 pages, no figures, submitted to the proceedings of the Physics of
Quantum Electronics, 200
Ceramic applications in turbine engines
Development testing activities on the 1900 F-configuration ceramic parts were completed, 2070 F-configuration ceramic component rig and engine testing was initiated, and the conceptual design for the 2265 F-configuration engine was identified. Fabrication of the 2070 F-configuration ceramic parts continued, along with burner rig development testing of the 2070 F-configuration metal combustor in preparation for 1132 C (2070 F) qualification test conditions. Shakedown testing of the hot engine simulator (HES) rig was also completed in preparation for testing of a spin rig-qualified ceramic-bladed rotor assembly at 1132 C (2070 F) test conditions. Concurrently, ceramics from new sources and alternate materials continued to be evaluated, and fabrication of 2070 F-configuration ceramic component from these new sources continued. Cold spin testing of the critical 2070 F-configuration blade continued in the spin test rig to qualify a set of ceramic blades at 117% engine speed for the gasifier turbine rotor. Rig testing of the ceramic-bladed gasifier turbine rotor assembly at 108% engine speed was also performed, which resulted in the failure of one blade. The new three-piece hot seal with the nickel oxide/calcium fluoride wearface composition was qualified in the regenerator rig and introduced to engine operation wiwth marginal success
Bistable light detectors with nonlinear waveguide arrays
Bistability induced by nonlinear Kerr effect in arrays of coupled waveguides
is studied and shown to be a means to conceive light detectors that switch
under excitation by a weak signal. The detector is obtained by coupling two
single 1D waveguide to an array of coupled waveguides with adjusted indices and
coupling. The process is understood by analytical description in the
conservative and continuous case and illustrated by numerical simulations of
the model with attenuation.Comment: Phys. Rev. Lett., v.94, (2005, to be published
Elliptical orbits in the Bloch sphere
As is well known, when an SU(2) operation acts on a two-level system, its
Bloch vector rotates without change of magnitude. Considering a system composed
of two two-level systems, it is proven that for a class of nonlocal
interactions of the two subsystems including \sigma_i\otimes\sigma_j (with i,j
\in {x,y,z}) and the Heisenberg interaction, the geometric description of the
motion is particularly simple: each of the two Bloch vectors follows an
elliptical orbit within the Bloch sphere. The utility of this result is
demonstrated in two applications, the first of which bears on quantum control
via quantum interfaces. By employing nonunitary control operations, we extend
the idea of controllability to a set of points which are not necessarily
connected by unitary transformations. The second application shows how the
orbit of the coherence vector can be used to assess the entangling power of
Heisenberg exchange interaction.Comment: 9 pages, 4 figures, few corrections, J. Opt. B: Quantum Semiclass.
Opt. 7 (2005) S1-S
The Frequency of Active and Quiescent Galaxies with Companions: Implications for the Feeding of the Nucleus
We analyze the idea that nuclear activity, either AGN or star formation, can
be triggered by interactions, studying the percentage of active, HII and
quiescent galaxies with companions. Our sample was selected from the Palomar
survey, and avoids selection biases faced by previous studies. The comparison
between the local galaxy density distributions showed that in most cases there
is no statistically significant difference among galaxies of different activity
types. The comparison of the percentage of galaxies with nearby companions
showed that there is a higher percentage of LINERs, transition, and absorption
line galaxies with companions than Seyferts and HII galaxies. However, we find
that when we consider only galaxies of similar morphological types (ellipticals
or spirals), there is no difference in the percentage of galaxies with
companions among different activity types, indicating that the former result
was due to the morphology-density effect. Also, only small differences are
found when we consider galaxies with similar Halpha luminosities. The
comparison between HII galaxies of different Halpha luminosities shows that
there is a significantly higher percentage of galaxies with companions among
the higher luminosity HII galaxies, indicating that interactions increase the
amount of circumnuclear star formation, in agreement with previous results. The
fact that we find that galaxies of different activity types have the same
percentage of companions, suggests that interactions between galaxies is not a
necessary condition to trigger the nuclear activity in AGNs. We compare our
results with previous ones and discuss their implications. (abridged)Comment: 30 pages, including 6 figures and 3 tables. To appear in The
Astronomical Journal, November issu
Driven Macroscopic Quantum Tunneling of Ultracold Atoms in Engineered Optical Lattices
Coherent macroscopic tunneling of a Bose-Einstein condensate between two
parts of an optical lattice separated by an energy barrier is theoretically
investigated. We show that by a pulsewise change of the barrier height, it is
possible to switch between tunneling regime and a self-trapped state of the
condensate. This property of the system is explained by effectively reducing
the dynamics to the nonlinear problem of a particle moving in a double square
well potential. The analysis is made for both attractive and repulsive
interatomic forces, and it highlights the experimental relevance of our
findings
Generalized Euler Angle Paramterization for SU(N)
In a previous paper (math-ph/0202002) an Euler angle parameterization for
SU(4) was given. Here we present the derivation of a generalized Euler angle
parameterization for SU(N). The formula for the calculation of the Haar measure
for SU(N) as well as its relation to Marinov's volume formula for SU(N) will
also be derived. As an example of this parameterization's usefulness, the
density matrix parameterization and invariant volume element for a
qubit/qutrit, three qubit and two three-state systems, also known as two qutrit
systems, will also be given.Comment: 36 pages, no figures; added qubit/qutrit work, corrected minor
definition problems and clarified Haar measure derivation. To be published in
J. Phys. A: Math. and Ge
A Parametrization of Bipartite Systems Based on SU(4) Euler Angles
In this paper we give an explicit parametrization for all two qubit density
matrices. This is important for calculations involving entanglement and many
other types of quantum information processing. To accomplish this we present a
generalized Euler angle parametrization for SU(4) and all possible two qubit
density matrices. The important group-theoretical properties of such a
description are then manifest. We thus obtain the correct Haar (Hurwitz)
measure and volume element for SU(4) which follows from this parametrization.
In addition, we study the role of this parametrization in the Peres-Horodecki
criteria for separability and its corresponding usefulness in calculating
entangled two qubit states as represented through the parametrization.Comment: 23 pages, no figures; changed title and abstract and rewrote certain
areas in line with referee comments. To be published in J. Phys. A: Math. and
Ge
Orbits of quantum states and geometry of Bloch vectors for -level systems
Physical constraints such as positivity endow the set of quantum states with
a rich geometry if the system dimension is greater than two. To shed some light
on the complicated structure of the set of quantum states, we consider a
stratification with strata given by unitary orbit manifolds, which can be
identified with flag manifolds. The results are applied to study the geometry
of the coherence vector for n-level quantum systems. It is shown that the
unitary orbits can be naturally identified with spheres in R^{n^2-1} only for
n=2. In higher dimensions the coherence vector only defines a non-surjective
embedding into a closed ball. A detailed analysis of the three-level case is
presented. Finally, a refined stratification in terms of symplectic orbits is
considered.Comment: 15 pages LaTeX, 3 figures, reformatted, slightly modified version,
corrected eq.(3), to appear in J. Physics
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