Mutually unbiased bases: tomography of spin states and star-product scheme

Mutually unbiased bases (MUBs) are considered within the framework of a generic star-product scheme. We rederive that a full set of MUBs is adequate for a spin tomography, i.e. knowledge of all probabilities to find a system in each MUB-state is enough for a state reconstruction. Extending the ideas of the tomographic-probability representation and the star-product scheme to MUB-tomography, dequantizer and quantizer operators for MUB-symbols of spin states and operators are introduced, ordinary and dual star-product kernels are found. Since MUB-projectors are to obey specific rules of the star-product scheme, we reveal the Lie algebraic structure of MUB-projectors and derive new relations on triple- and four-products of MUB-projectors. Example of qubits is considered in detail. MUB-tomography by means of Stern-Gerlach apparatus is discussed.Comment: 11 pages, 1 table, partially presented at the 17th Central European Workshop on Quantum Optics (CEWQO'2010), June 6-11, 2010, St. Andrews, Scotland, U

First Report of Horseradish Leaf Spot Caused by Alternaria brassicae in Serbia

In July 2014, a foliar spot disease of horseradish (Armoracia rusticana) was observed in the Bačka region of Serbia (45°14′17″ N; 19°42′22″ E). The disease was observed in several small vegetable farms and disease incidence approached 20 to 40%. The symptoms first appeared on the abaxial side of older leaves as light brown concentric spots with dark margins and sometimes haloes. The spots varied in size between 0.5 and 0.9 cm. The necrotic spots gradually enlarged, tore, and dropped out. Under high humidity and temperature in 2014 in that region, development of numerous necrosis spots resulted in a rapid reduction of leaves. Small pieces taken from infected leaf tissue of diseased horseradish were treated with 1% sodium hypochlorite for 1 min, rinsed with sterile distillated water (SDW), and placed on V8 agar. Isolates were grown in pure culture at 24°C for 5 days in 12 h light/dark photoperiod. Morphological characteristics of the colony and sporulation were determined for six representative isolates. Fungal colonies were smooth, color varied from white, off white to light brown with concentric zones and intensive sporulation. Conidia were light brown, obclavate, produced singly or in short chains. Mature conidia were 16 to 38 µm wide and 73 to 158 µm long with a beak cell 79 to 120 µm long with 8 to 11 transverse septa and 0 to 4 longitudinal septa. Based on morphological characteristics, all isolates were identified as Alternaria brassicae (Berk.) Sacc (Simmons 2007). To confirm the pathogen’s identity, DNA was extracted from the fungal isolates and subjected to PCR; the internal transcribed spacer region of rDNA was amplified using primers ITS1 and ITS4 (White et al. 1990). The resulting amplicons were sequenced by Macrogen Inc. (Seoul, South Korea) and deposited in NCBI GenBank (Accession Nos. KP115599 to KP115604). BLAST analysis of revealed 100% homology with a sequence of A. brassicae strain ATCC 58169 deposited in GenBank (JX499028). Pathogenicity of six representative isolates was tested on leaves of 2-month-old horseradish seedlings by spraying with aqueous conidial suspensions (105 conidia/ml) prepared from cultures grown on V8 agar at 24°C for 5 days. Negative control plants were sprayed with SDW. Plants were covered with plastic bags and placed for 48 h in a greenhouse at 20 to 22°C. For all isolates within 10 days, inoculated plants developed brown lesions on leaves. Plants treated with SDW were symptomless. To fulfill Koch’s postulates, reisolations from all tested strains were done by streaking margins of necrotic leaf spot tissue onto V8 agar. Reisolated strains showed the same colony morphology as described above. Based on the pathogenicity test accompanied by completion of Koch’s postulates, sequence analysis, and morphological and cultural characteristics, the strains were identified as A. brassicae. According to available literature data, this is the first report of this pathogen as the causal agent of brown leaf spot of horseradish in Serbia

Uticaj različitih tipova kombajna za ubiranje kamilice na kvalitet ubiranja i visinu dobiti u proizvodnji kamilice

This paper presents the results of three conceptually different types of chamomile harvester and their impact on the quality of the harvested chamomile and profit during the production process. Three working modes of each harvester are considered and values of realized losses and the quality of harvested chamomile are determined. It was found that choosing the type of engaged harvester and its working mode can affect the quality of harvested chamomile, as well as the profit achieved in the entire production process. .U ovom radu su prikazani rezultati istraživanja tri koncepcijski različita tipa kombajna za ubiranje kamilice i njihov uticaj na kvalitet ubrane sirovine i ostvarenu dobit tokom procesa proizvodnje. Posmatrana su tri režima rada svakog od kombajna i utvrđeni su vrednosti ostvarenih gubitaka i kvaliteta ubrane kamilice. Utvrđeno je da se izborom tipa angažovanog kombajna i režima rada može uticati na kvalitet ubrane kamilice, kao i na ostvarenu dobit u celokupnom proizvodnom ciklusu.

Optimizing quantum process tomography with unitary 2-designs

We show that weighted unitary 2-designs define optimal measurements on the system-ancilla output state for ancilla-assisted process tomography of unital quantum channels. Examples include complete sets of mutually unbiased unitary-operator bases. Each of these specifies a minimal series of optimal orthogonal measurements. General quantum channels are also considered.Comment: 28 page

Complex UV Ne II line shapes in the cathode sheath of an abnormal glow discharge

We report results of an experimental and theoretical study of complex UV line shapes of Ne II 369.421 nm, Ne II 371.308 nm and Ne II 372.711 nm lines in the cathode sheath (CS) region of an abnormal glow discharge in pure neon. The experimental profiles were studied by means of the optical emission spectroscopy (OES) in conjunction with an iterative CS kinetic model. It is shown that our theoretical model describes the experimental line shapes and that, with the aid of the measured Stark shifts of atomic neon lines, it can be used for the determination of the most important CS parameters (e.g. the thickness of the CS region, distribution of electric field, and the gas temperature). We draw attention to the possibility of determining the electric field strength in CS from the width of the pedestal of the complex line profiles

Laser damage in ferrites of MnZn spinels and other possible interactions

Pulsed laser damage of ferrites of MnZn spinels was studied. Some of the samples were treated by nuclear gamma radiation and LY particles and then exposed to laser beams in different working conditions. The sample and damage quality was evaluated on the basis of X-ray, optical and SEM microscopy and micro-hardness experiments. The characteristic brittleness after nuclear gamma irradiation of ferrites and other materials was confirmed in the cases of interactions with laser beams. Characteristic cases of material cracks with CO2 laser were found. (C) 1997 Elsevier Science Ltd