Error models for mode mismatch in linear optics quantum computing

One of the most significant challenges facing the development of linear optics quantum computing (LOQC) is mode mismatch, whereby photon distinguishability is introduced within circuits, undermining quantum interference effects. We examine the effects of mode mismatch on the parity (or fusion) gate, the fundamental building block in several recent LOQC schemes. We derive simple error models for the effects of mode mismatch on its operation, and relate these error models to current fault-tolerant-threshold estimates.

Measuring nonlinear functionals of quantum harmonic oscillator states

Using only linear interactions and a local parity measurement we show how entanglement can be detected between two harmonic oscillators. The scheme generalizes to measure both linear and nonlinear functionals of an arbitrary oscillator state. This leads to many applications including purity tests, eigenvalue estimation, entropy, and distance measures-all without the need for nonlinear interactions or complete state reconstruction. Remarkably, experimental realization of the proposed scheme is already within the reach of current technology with linear optics.

An approach to identifying factors affecting milk protein concentration in dairy cattle

Milk protein production can be influenced by several factors, including environment, disease status, parity, stage of lactation, breed, genetic merit and the nutritional status of the animal (DePeters and Cant 1992). A combination of, or an interaction between, these factors can significantly affect milk protein production. Our study aims to identify the main factors affecting milk protein concentration in dairy cattle in the south-east Queensland region.

TESTANDO A TEORIA DA PARIDADE DE PODER DE COMPRA (PPC) NO PERÍODO DE 1995 A 2010

O objetivo deste trabalho é testar a teoria da Paridade de Poder de Compra em sua versão absoluta e relativa para o Brasil no período de 1995 a 2010, utilizando procedimentos da econometria visando estabelecer através de testes de hipóteses a validação ou rejeição da teoria da Paridade do Poder de Compra. Para a verificação serão utilizados os testes de Dickey-Fuller (DF), Dickey-Fuller Ampliado (ADF) e testes de Cointegração de Engle e Granger e Joahansen. Adotamos para o estudo os países EUA e Brasil, tendo em vista o fluxo de comércio entre estes países e sua importância na economia mundial. Através dos índices de preço IPA e PPI analisarse- á a validação da teoria da Paridade de Poder de Compra em sua versão relativa e absoluta, chegando-se a conclusão de aceitação de sua versão relativa e rejeição de sua versão absoluta.

Magnetic properties and Spin dynamics in magnetic Molecular Rings

Molecular nanomagnets are spin clusters whose topology and magnetic interactions can be modulated at the level of the chemical synthesis. They are formed by a small number of transition metal ions coupled by the Heisenberg's exchange interactions. Each cluster is magnetically isolated from its neighbors by organic ligands, making each unit not interacting with the others. Therefore, we can investigate the magnetic properties of an isolated molecular nanomagnet by bulk measurements. The present thesis has been mostly devoted to the experimental investigation of the magnetic properties and spin dynamics of different classes of antiferromagnetic (AF) molecular rings. This study has been exploiting various techniques of investigations, such as Nuclear Magnetic Resonance (NMR), muon spin relaxation (muSR) and SQUiD magnetometry. We investigate the magnetic properties and the phonon-induced relaxation dynamics of the first regular Cr9 antiferromagnetic (AF) ring, which represents a prototype frustrated AF ring. The magnetically-open AF rings like Cr8Cd are model systems for the study of the microscopic magnetic behaviour of finite AF Heisenberg chains. In this type of system the different magnetic behaviour depends length and on the parity of the chain (odd or even). In order to study the local spin densities on the Cr sites, the Cr-NMR spectra was collected at low temperature. The experimental result confirm the theoretical predictions for the spin configuration. Finally, the study of Dy6, the first rare-earth based ring that has been ever synthesized, has been performed by AC-SQuID and muSR measurements. We found that the dynamics is characterized by more than one characteristic correlation time, whose values depend strongly on the applied field.

A PROPAGANDA NA ERA DA CONVERGÊNCIA Um estudo comparativo da linguagem publicitária audiovisual nos meios internet e televisão.

Desde sua criação a internet tem recebido por parte dos anunciantes réplicas propagandas desenvolvidas para outras mídias, porém com o passar dos anos a internet ganhou espaço e recebeu a atenção dos anunciantes desejosos por utilizar suas forças à favor da venda de seus produtos. Contudo conhece-se muito pouco a respeito das características de linguagem específicas da internet, e a literatura existente e pouca e inconclusiva. Com base nesse quadro o trabalho comparou vídeos publicitários desenvolvidos especificamente para a internet com outros desenvolvidos originalmente para a televisão e publicados na internet a fim de identificar pontos de paridade e convergência entre eles no que se refere à linguagem. O trabalho baseou-se nas teorias da Cibercultura e da Sociedade em Rede e nos estudos de Marshall McLuhan e em uma análise comparativa dos vídeos a fim de entender a linguagem técnica, discursiva e visual dos mesmos. A pesquisa apontou diferenças entre os dois grupos de investigados, sobretudo no que se refere à interatividade, potencial de viralização e maximização de visualização. O estudo identificou também que no que se refere à linguagem técnico-discursiva os vídeos apresentaram pouca diferenciação embora tenha-se comprovado que os vídeos desenvolvidos para a internet são mais recentes o que evidencia um início do processo de adaptação da linguagem publicitária ao meio internet.

Finite connectivity systems as error-correcting codes

We investigate the performance of parity check codes using the mapping onto spin glasses proposed by Sourlas. We study codes where each parity check comprises products of K bits selected from the original digital message with exactly C parity checks per message bit. We show, using the replica method, that these codes saturate Shannon's coding bound for K?8 when the code rate K/C is finite. We then examine the finite temperature case to asses the use of simulated annealing methods for decoding, study the performance of the finite K case and extend the analysis to accommodate different types of noisy channels. The analogy between statistical physics methods and decoding by belief propagation is also discussed.

Statistical mechanics of mutual information maximization

An unsupervised learning procedure based on maximizing the mutual information between the outputs of two networks receiving different but statistically dependent inputs is analyzed (Becker S. and Hinton G., Nature, 355 (1992) 161). By exploiting a formal analogy to supervised learning in parity machines, the theory of zero-temperature Gibbs learning for the unsupervised procedure is presented for the case that the networks are perceptrons and for the case of fully connected committees.

Error-correcting code on a cactus:A solvable model

An exact solution to a family of parity check error-correcting codes is provided by mapping the problem onto a Husimi cactus. The solution obtained in the thermodynamic limit recovers the replica-symmetric theory results and provides a very good approximation to finite systems of moderate size. The probability propagation decoding algorithm emerges naturally from the analysis. A phase transition between decoding success and failure phases is found to coincide with an information-theoretic upper bound. The method is employed to compare Gallager and MN codes.

Statistical mechanics of typical set decoding

The performance of "typical set (pairs) decoding" for ensembles of Gallager's linear code is investigated using statistical physics. In this decoding method, errors occur, either when the information transmission is corrupted by atypical noise, or when multiple typical sequences satisfy the parity check equation as provided by the received corrupted codeword. We show that the average error rate for the second type of error over a given code ensemble can be accurately evaluated using the replica method, including the sensitivity to message length. Our approach generally improves the existing analysis known in the information theory community, which was recently reintroduced in IEEE Trans. Inf. Theory 45, 399 (1999), and is believed to be the most accurate to date. © 2002 The American Physical Society.

Weight vs magnetization enumerator for Gallager codes

We propose a method to determine the critical noise level for decoding Gallager type low density parity check error correcting codes. The method is based on the magnetization enumerator (¸M), rather than on the weight enumerator (¸W) presented recently in the information theory literature. The interpretation of our method is appealingly simple, and the relation between the different decoding schemes such as typical pairs decoding, MAP, and finite temperature decoding (MPM) becomes clear. Our results are more optimistic than those derived via the methods of information theory and are in excellent agreement with recent results from another statistical physics approach.

Critical noise levels for LDPC decoding

We determine the critical noise level for decoding low density parity check error correcting codes based on the magnetization enumerator , rather than on the weight enumerator employed in the information theory literature. The interpretation of our method is appealingly simple, and the relation between the different decoding schemes such as typical pairs decoding, MAP, and finite temperature decoding (MPM) becomes clear. In addition, our analysis provides an explanation for the difference in performance between MN and Gallager codes. Our results are more optimistic than those derived via the methods of information theory and are in excellent agreement with recent results from another statistical physics approach.

Magnetization enumerator for LDPC codes - a statistical physics approach

We propose a method based on the magnetization enumerator to determine the critical noise level for Gallager type low density parity check error correcting codes (LDPC). Our method provides an appealingly simple interpretation to the relation between different decoding schemes, and provides more optimistic critical noise levels than those reported in the information theory literature.

Evaluating zero error noise thresholds by replica method for Gallager code ensembles

The replica method, developed in statistical physics, is employed in conjunction with Gallager's methodology to accurately evaluate zero error noise thresholds for Gallager code ensembles. Our approach generally provides more optimistic evaluations than those reported in the information theory literature for sparse matrices; the difference vanishes as the parity check matrix becomes dense.

A statistical-mechanical analysis of coded CDMA with regular LDPC codes

We analyze, using the replica method of statistical mechanics, the theoretical performance of coded code-division multiple-access (CDMA) systems in which regular low-density parity-check (LDPC) codes are used for channel coding.