A Kolmogorov Extension Theorem for POVMs

We prove a theorem about positive-operator-valued measures (POVMs) that is an analog of the Kolmogorov extension theorem, a standard theorem of probability theory. According to our theorem, if a sequence of POVMs G_n on $\mathbb{R}^n$ satisfies the consistency (or projectivity) condition $G_{n+1}(A\times \mathbb{R}) = G_n(A)$ then there is a POVM G on the space $\mathbb{R}^\mathbb{N}$ of infinite sequences that has G_n as its marginal for the first n entries of the sequence. We also describe an application in quantum theory.Comment: 6 pages LaTeX, no figure

Conservation laws, uncertainty relations, and quantum limits of measurements

The uncertainty relation between the noise operator and the conserved quantity leads to a bound for the accuracy of general measurements. The bound extends the assertion by Wigner, Araki, and Yanase that conservation laws limit the accuracy of ``repeatable'', or ``nondisturbing'', measurements to general measurements, and improves the one previously obtained by Yanase for spin measurements. The bound also sets an obstacle to making a small quantum computer.Comment: 4 pages, RevTex, to appear in PR

A critical analysis of Popper's experiment

An experiment which could decide against the Copenhagen interpretation of quantum mechanics has been proposed by K. Popper and, subsequently, it has been criticized by M.J. Collett and R. Loudon. Here we show that both the above mentioned arguments are not correct because they are based on a misuse of basic quantum rules.Comment: 12 pages, 3 figures, RevTex; to be published on PR

On a recent proof of nonlocality without inequalities

Recently a quite stimulating paper [1] dealing with the possibility of exploiting the nonlocal aspects of a superposition of states of a single photon appeared. We regard as greatly relevant the results which have been obtained. However we think that the presentation of the matter and the way to derive the conclusion are not fully satisfactory and do not put the necessary emphasis on some subtle basic aspects like locality and realism. In view of its interest we consider it useful to reconsider the line of reasoning of ref.[1] and to derive once more its results by following a procedure which seems to us more lucid and which makes fully clear the role of the various conceptual aspects of the treatment. We hope that our analysis will contribute to clarify and to deepen the interesting results of ref.[1]

General criterion for the entanglement of two indistinguishable particles

We relate the notion of entanglement for quantum systems composed of two identical constituents to the impossibility of attributing a complete set of properties to both particles. This implies definite constraints on the mathematical form of the state vector associated with the whole system. We then analyze separately the cases of fermion and boson systems, and we show how the consideration of both the Slater-Schmidt number of the fermionic and bosonic analog of the Schmidt decomposition of the global state vector and the von Neumann entropy of the one-particle reduced density operators can supply us with a consistent criterion for detecting entanglement. In particular, the consideration of the von Neumann entropy is particularly useful in deciding whether the correlations of the considered states are simply due to the indistinguishability of the particles involved or are a genuine manifestation of the entanglement. The treatment leads to a full clarification of the subtle aspects of entanglement of two identical constituents which have been a source of embarrassment and of serious misunderstandings in the recent literature.Comment: 18 pages, Latex; revised version: Section 3.2 rewritten, new Theorems added, reference [1] corrected. To appear on Phys.Rev.A 70, (2004

A truncated antenna mutant of Chlamydomonas reinhardtii can produce more hydrogen than the parental strain

Photoproduction of H(2) gas was examined in the Chlamydomonas reinhardtii tla1 strain, CC-4169, containing a truncated light-harvesting antenna, along with its parental CC-425 strain. Although enhanced photosynthetic performance of truncated antenna algae has been demonstrated previously (Polle etal. Planta 2003; 217:49-59), improved H(2) photoproduction has yet to be reported. Preliminary experiments showed that sulfur-deprived, suspension cultures of the tla1 mutant could not establish anaerobiosis in a photobioreactor, and thus, could not photoproduce H(2) gas under conditions typical for the sulfur-deprived wild-type cells (Kosourov et al. Biotech Bioeng 2002; 78:731-40). However, they did produce H(2) gas when deprived of sulfur and phosphorus after immobilization within thin (similar to 300 mu m) alginate films. These films were monitored for long-term H(2) photoproduction activity under light intensities ranging from 19 to 350 mu E m(-2) s(-1) PAR. Both the tla1 mutant and the CC-425 parental strain produced H(2) gas for over 250 h under all light conditions tested. Relative to the parental strain, the CC-4169 mutant had lower maximum specific rates of H(2) production at low and medium light intensities (19 and 184 mu E m(-2) s(-1)), but it exhibited a 4-times higher maximum specific rate at 285 mu E m(-2) s(-1) and an 8.5-times higher rate at 350 mu E M(-2) s(-1) when immobilized at approximately the same cell density as the parental strain. As a result, the CC-4169 strain accumulated almost 4-times more H(2) than CC-425 at 285 mu E M(-2) s(-1) and over 6-times more at 350 mu E M(-2) s(-1) during 250-h experiments. These results are the first demonstration that truncating light-harvesting antennae in algal cells can increase the efficiency of H(2) photoproduction in mass culture at high light intensity. (C) 2010 Professor T. Nejat Veziroglu. Published by Elsevier Ltd. All rights reserved

Impact of the fat dormouse (Glis glis Linnaeus 1766) on hazel orchards in the area of Alta Langa and Belbo, Bormida, Uzzone Valleys (province of Cuneo, Italy): a preliminary assessment of agricultural damage

Ghirardi, M., Tizzani, P., Dematteis, A

A multidisciplinary approach to evaluate the effectiveness of natural attenuation at a contaminated site

This study evaluates the natural attenuation of chlorinated hydrocarbons as remediation action in a contaminated site downtown the city of Parma (Italy). To achieve this goal, a combination of new investigation methods (bio-molecular analysis, compound specific isotope analysis, phytoscreening) has been proposed. The approach (named circular multi step) allows to: fully understand the phenomena that occur at the study site, design new investigation activities, and manage best practices. Consequently, each step of the approach improves the conceptual and numerical models with new knowledge. The activities carried out at the study site allowed to detect a contamination of perchloroethylene in a large part of the city of Parma and, of main importance, underneath a kindergarten. The results of the study did not show significant natural attenuation of chlorinated hydrocarbons and that the detected contamination could refer to the same unknown contaminant source. Furthermore, the innovative phytoscreening technique was applied to assess the presence of chlorinated hydrocarbons at the ground level. The plume spread was estimated through numerical modeling starting from potential contaminant sources. This study enhances the knowledge of groundwater flow and contamination in Parma and allows authorities to design new investigation/reclamation activities through management actions

Hardy's proof of nonlocality in the presence of noise

We extend the validity of Hardy's nonlocality without inequalities proof to cover the case of special one-parameter classes of non-pure statistical operators. These mixed states are obtained by mixing the Hardy states with a completely chaotic noise or with a colored noise and they represent a realistic description of imperfect preparation processes of (pure) Hardy states in nonlocality experiments. Within such a framework we are able to exhibit a precise range of values of the parameter measuring the noise affecting the non-optimal preparation of an arbitrary Hardy state, for which it is still possible to put into evidence genuine nonlocal effects. Equivalently, our work exhibits particular classes of bipartite mixed states whose constituents do not admit any local and deterministic hidden variable model reproducing the quantum mechanical predictions.Comment: 9 pages, 2 figures, RevTex, revised versio

Geographical Anaylsis of Landscape in the Wat Chan Watershed, Northern Thailand

Deforestation, one of the important problems in the tropical forest, can affect the accelerated land degradation that lead to decreased soil productivity and agricultural production. Geographical attributes in the landscape, such as land use types, topographic attributes, and soil information play important roles in determining the landscape structure and functions. This study used spatial analysis, such as GIS overlay and a non-parametric test of land use dynamics to provide a historic documents of deforestation and land use dynamics in the Wat Chan watershed, between 1974 and 1996. Soil-landscape relationships were used to express our understanding of the distribution of soil materials in relation to geomorphologic features. The method of a non-parametric trend analysis for land use change permits extracting a probability of change in land use and helps illustrate that about 0.76% of the landscape can be identified as cycled land. Regressing the probability of land use change on physical attributes and topographic attributes indicated that increased land use change from forest to open lands were associated with short distances to villages, short distances to forest edge, high elevation and high CTI (R^ = 0.74). Analysis of soil landscape indicated that elevation, slope, land use, and annual rainfall were the attributes most highly correlated with measured soil properties. CTI and profile curvature showed some influence on the variation of N and OM in this landscape. Coefficients of sand, silt, N, OM, extractable P, and bulk density variable were highly significant as indicated by t-test with R^ ranged from 0.40 to 0.55. Multiple criteria analysis was used to characterize degradation of sub-watersheds based on landscape attributes that are influencing erosion. Only two sub-watersheds were characterized as extremely low degradation while five sub-watersheds were characterized as high degradation. The most of sub-watershed were classified as low and moderately degraded. Results illustrate that spatial analysis and GIS can improve understanding of geographical distribution in the Wat Chan watershed in both spatial and temporal aspects. This knowledge of landscape attributes and their spatial and temporal variation are important components for efficient management of resources in the Wat Chan watershed, Northern Thailand