Schmidt balls around the identity

Robustness measures as introduced by Vidal and Tarrach [PRA, 59, 141-155] quantify the extent to which entangled states remain entangled under mixing. Analogously, we introduce here the Schmidt robustness and the random Schmidt robustness. The latter notion is closely related to the construction of Schmidt balls around the identity. We analyse the situation for pure states and provide non-trivial upper and lower bounds. Upper bounds to the random Schmidt-2 robustness allow us to construct a particularly simple distillability criterion. We present two conjectures, the first one is related to the radius of inner balls around the identity in the convex set of Schmidt number n-states. We also conjecture a class of optimal Schmidt witnesses for pure states.Comment: 7 pages, 1 figur

Experimental implementation of a NMR entanglement witness

Entanglement witnesses (EW) allow the detection of entanglement in a quantum system, from the measurement of some few observables. They do not require the complete determination of the quantum state, which is regarded as a main advantage. On this paper it is experimentally analyzed an entanglement witness recently proposed in the context of Nuclear Magnetic Resonance (NMR) experiments to test it in some Bell-diagonal states. We also propose some optimal entanglement witness for Bell-diagonal states. The efficiency of the two types of EW's are compared to a measure of entanglement with tomographic cost, the generalized robustness of entanglement. It is used a GRAPE algorithm to produce an entangled state which is out of the detection region of the EW for Bell-diagonal states. Upon relaxation, the results show that there is a region in which both EW fails, whereas the generalized robustness still shows entanglement, but with the entanglement witness proposed here with a better performance

Dynamic approach for assessing food quality and safety characteristics: the case of processed foods

Thermal processes applied to foods focus on destruction of target microorganisms. Besides these processes often occur under time-varying temperature environments, microbial inactivation is commonly assessed under isothermal conditions. The development of mathematical models that describe microbial kinetics in dynamic conditions is important for processes design. Another process that occurs under time-varying temperature conditions is frozen storage of foods.Thermal inactivation of Listeria innocua (surrogate of L. monocytogenes) in parsley, and quality degradation of vegetables under frozen conditions were used as case-studies.Developed models that include timetemperature effects accurately described inactivation/degradation of the characteristics analyzed both under isothermal and dynamic conditions

Prevalência de Osteoporose numa amostra de mulheres Portuguesas

A osteoporose é uma doença crónica e progressiva. O diagnóstico baseia-se na avaliação de densidade mineral óssea (DMO), por absorciometria bifotónica por RX (DXA) e no conceito operacional da Organização Mundial de Saúde (OMS) indicando que a doença acontece para valores de DMO inferiores a 2,5 desvios-padrão do valor médio máximo para mulheres jovens, saudáveis de etnia caucasóide. Existe variabilidade nos valores de pico de massa óssea entre diferentes populações. Este estudo pretende avaliar a prevalência de osteoporose quando utilizada a base de referência do equipamento e quando utilizada a base de dados para score-T construída a partir da amostra.Osteoporosis is a chronic and progressive disease. Its diagnosis is based on the assessment of bone mineral density (BMD) by dual energy X-ray absortiometry (EDXA) and the operational concept of the World Health Organization (WHO) indicating that the disease happens to BMD values less than 2.5 deviations standard of the average maximum for young, healthy Caucasian women. Variability exists in what relates values of peak bone mass between different populations. The purpose of this study is to evaluate and compare osteoporosis prevalence using the equipment reference database against using our sample´s calculated T-scores

Thermal inactivation of Alicyclobacillus acidoterrestris spores in fruit product processing

Alicyclobacillus acidoterrestris spores were recently proposed to be used as design criterion for thermal processes of acid fruit products. This microorganism has been found in commercial pasteurized acid fruit juices, such as orange and apple. Although being non-pathogenic and not easy to detect visually, it is responsible for off-flavours development. On the other hand, the first thermal inactivation kinetic studies confirmed that these spores are much more resistant than the usual spoilage microorganisms in acid foods. Therefore, in 2000 it was firstly proposed to be used in the design of hot-filling and continuous pasteurization conditions of a tropical fruit pulp and juice, respectively. This work presents a critical review on inactivation kinetics of Alicyclobacillus acidoterrestris spores. The available studies were obtained under thermal treatments, and studied the effects of temperature, pH and soluble solids. Those effects were quantified in terms of decimal reduction time (first order model) and z-values (Bigelow model). Furthermore, they were obtained under isothermal conditions. Future challenges in this field are to quantify the inactivation kinetics behaviour under dynamic conditions, using thermal and non-thermal treatments, such as ozonation, ultrasonication or high pressure. These alternative treatments have the advantage of minimizing quality attributes degradation and improving products. Moreover, predictive microbiology skills are suggested as a valuable tool for process design and optimization

Relação de indicadores biológicos de qualidade de solos com Fusarium spp., Rhizoctonia solani e Trichoderma spp. em uma área sob integração lavoura-pecuária.

O objetivo deste trabalho foi verificar a relação de populações dos patógenos Fusarium solani, Rhizoctonia solani, dos antagonistas Trichoderma spp. e de formas saprófitas de F. oxysporum, com alguns indicadores biológicos de qualidade do solo

Faithful Squashed Entanglement

Squashed entanglement is a measure for the entanglement of bipartite quantum states. In this paper we present a lower bound for squashed entanglement in terms of a distance to the set of separable states. This implies that squashed entanglement is faithful, that is, strictly positive if and only if the state is entangled. We derive the bound on squashed entanglement from a bound on quantum conditional mutual information, which is used to define squashed entanglement and corresponds to the amount by which strong subadditivity of von Neumann entropy fails to be saturated. Our result therefore sheds light on the structure of states that almost satisfy strong subadditivity with equality. The proof is based on two recent results from quantum information theory: the operational interpretation of the quantum mutual information as the optimal rate for state redistribution and the interpretation of the regularised relative entropy of entanglement as an error exponent in hypothesis testing. The distance to the set of separable states is measured by the one-way LOCC norm, an operationally-motivated norm giving the optimal probability of distinguishing two bipartite quantum states, each shared by two parties, using any protocol formed by local quantum operations and one-directional classical communication between the parties. A similar result for the Frobenius or Euclidean norm follows immediately. The result has two applications in complexity theory. The first is a quasipolynomial-time algorithm solving the weak membership problem for the set of separable states in one-way LOCC or Euclidean norm. The second concerns quantum Merlin-Arthur games. Here we show that multiple provers are not more powerful than a single prover when the verifier is restricted to one-way LOCC operations thereby providing a new characterisation of the complexity class QMA.Comment: 24 pages, 1 figure, 1 table. Due to an error in the published version, claims have been weakened from the LOCC norm to the one-way LOCC nor