Introduction to Quantum Error Correction

In this introduction we motivate and explain the ``decoding'' and ``subsystems'' view of quantum error correction. We explain how quantum noise in QIP can be described and classified, and summarize the requirements that need to be satisfied for fault tolerance. Considering the capabilities of currently available quantum technology, the requirements appear daunting. But the idea of ``subsystems'' shows that these requirements can be met in many different, and often unexpected ways.Comment: 44 pages, to appear in LA Science. Hyperlinked PDF at http://www.c3.lanl.gov/~knill/qip/ecprhtml/ecprpdf.pdf, HTML at http://www.c3.lanl.gov/~knill/qip/ecprhtm

Measured Quantum Dynamics of a Trapped Ion

The measurement process is taken into account in the dynamics of trapped ions prepared in nonclassical motional states. The induced decoherence is shown to manifest itself both in the inhibition of the internal population dynamics and in a damping of the vibrational motion without classical counterpart. Quantitative comparison with present experimental capabilities is discussed, leading to a proposal for the verification of the predicted effects.Comment: 5 Pages, no figures; Plain REVTeX; to be published in the 1st May issue of Phys. Rev. A, Rap. Commun. (1997

Electronic compressibility of a graphene bilayer

We calculate the electronic compressibility arising from electron-electron interactions for a graphene bilayer within the Hartree-Fock approximation. We show that, due to the chiral nature of the particles in this system, the compressibility is rather different from those of either the two-dimensional electron gas or ordinary semiconductors. We find that an inherent competition between the contributions coming from intra-band exchange interactions (dominant at low densities) and inter-band interactions (dominant at moderate densities) leads to a non-monotonic behavior of the compressibility as a function of carrier density.Comment: 4 pages, 4 figures. Final versio

The dependence of intrinsic alignment of galaxies on wavelength using KiDS and GAMA

The outer regions of galaxies are more susceptible to the tidal interactions that lead to intrinsic alignments of galaxies. The resulting alignment signal may therefore depend on the passband if the colours of galaxies vary spatially. To quantify this, we measured the shapes of galaxies with spectroscopic redshifts from the GAMA survey using deep gri imaging data from the KiloDegree Survey. The performance of the moment-based shape measurement algorithm DEIMOS was assessed using dedicated image simulations, which showed that the ellipticities could be determined with an accuracy better than 1% in all bands. Additional tests for potential systematic errors did not reveal any issues. We measure a significant difference of the alignment signal between the g,r and i-band observations. This difference exceeds the amplitude of the linear alignment model on scales below 2 Mpc/h. Separating the sample into central/satellite and red/blue galaxies, we find that that the difference is dominated by red satellite galaxies.Comment: 16 pages, 13 figures, accepted, to appear in A&

Nilpotent polynomials approach to four-qubit entanglement

We apply the general formalism of nilpotent polynomials [Mandilara et al, Phys. Rev. A 74, 022331 (2006)] to the problem of pure-state multipartite entanglement classification in four qubits. In addition to establishing contact with existing results, we explicitly show how the nilpotent formalism naturally suggests constructions of entanglement measures invariant under the required unitary or invertible class of local operations. A candidate measure of fourpartite entanglement is also suggested, and its behavior numerically tested on random pure states.Comment: 11 pages, 1 figure. Finalised versio

Advances in decoherence control

I address the current status of dynamical decoupling techniques in terms of required control resources and feasibility. Based on recent advances in both improving the theoretical design and assessing the control performance for specific noise models, I argue that significant progress may still be possible on the road of implementing decoupling under realistic constraints.Comment: 14 pages, 3 encapsulated eps figures. To appear in Journal of Modern Optics, Special Proceedings Volume of the XXXIV Winter Colloquium on the Physics of Quantum Electronics, Snowbird, Jan 200

Introduction to Quantum Information Processing

As a result of the capabilities of quantum information, the science of quantum information processing is now a prospering, interdisciplinary field focused on better understanding the possibilities and limitations of the underlying theory, on developing new applications of quantum information and on physically realizing controllable quantum devices. The purpose of this primer is to provide an elementary introduction to quantum information processing, and then to briefly explain how we hope to exploit the advantages of quantum information. These two sections can be read independently. For reference, we have included a glossary of the main terms of quantum information.Comment: 48 pages, to appear in LA Science. Hyperlinked PDF at http://www.c3.lanl.gov/~knill/qip/prhtml/prpdf.pdf, HTML at http://www.c3.lanl.gov/~knill/qip/prhtm

THE MEDIATING EFFECT OF CONTEXTUAL CHARACTERISTICS ON THE RELATIONSHIP BETWEEN WORK CONDITIONS AND PERFORMANCE OF TLE TEACHERS

The main goal of this study is to determine the mediating effect of contextual characteristics on the relationship between work conditions and the performance of TLE teachers in Davao del Sur, Philippines. To determine the mediating effect of contextual characteristics, correlation design employing mediating analysis was employed in this study. Adopted survey questionnaires were given to a sample of N=167 teachers from public secondary schools in the Division of Davao del Sur. The questionnaires were validated by experts contextualizing to the local setting. Regression and Path Analysis were used to determine the mediating effect of contextual characteristics on the relationship between work conditions and the performance of TLE teachers. The findings revealed that the level of work conditions is very high, the level of performance of TLE teachers is high and there was a significant relationship between work conditions and performance of TLE teachers. This significant effect revealed partial mediation. Hence, TLE teachers’ contextual characteristics partially mediate the relationship between work conditions and the performance of TLE teachers.  Article visualizations

Exposure of Young Welfare Recipients to Family and Peer Receipt of Welfare and Unemployment Benefits

The current study examined exposure to family and peer receipt of unemployment and general welfare benefits for a sample of 262 unemployed youth between 16 and 24 years of age who were in receipt of social assistance. The findings reveal that exposure to receipt of benefits was most pervasive through peers, with moderate exposure via siblings and minimal exposure via parents. The findings are discussed in relation to existing explanations which suggested that the receipt of benefits is intergenerationally transmitted. It is recommended that future investigations of the cultural transmission of poverty and receipt of benefits include the influence of peers