Minimum Entangling Power is Close to Its Maximum

Given a quantum gate $U$ acting on a bipartite quantum system, its maximum (average, minimum) entangling power is the maximum (average, minimum) entanglement generation with respect to certain entanglement measure when the inputs are restricted to be product states. In this paper, we mainly focus on the 'weakest' one, i.e., the minimum entangling power, among all these entangling powers. We show that, by choosing von Neumann entropy of reduced density operator or Schmidt rank as entanglement measure, even the 'weakest' entangling power is generically very close to its maximal possible entanglement generation. In other words, maximum, average and minimum entangling powers are generically close. We then study minimum entangling power with respect to other Lipschitiz-continuous entanglement measures and generalize our results to multipartite quantum systems. As a straightforward application, a random quantum gate will almost surely be an intrinsically fault-tolerant entangling device that will always transform every low-entangled state to near-maximally entangled state.Comment: 26 pages, subsection III.A.2 revised, authors list updated, comments are welcom

Cavity QED treatment of scattering-induced efficient free-space excitation and collection in high-Q whispering-gallery microcavities

Whispering-gallery microcavity laser possesses ultralow threshold, whereas convenient free-space optical excitation and collection suffer from low efficiencies due to its rotational symmetry. Here we analytically study a three-dimensional microsphere coupled to a nano-sized scatterer in the framework of quantum optics. It is found that the scatterer is capable of coupling light in and out of the whispering-gallery modes (WGMs) without seriously degrading their high-Q properties, while the microsphere itself plays the role of a lens to focus the input beam on the scatterer and vice versa. Our analytical results show that (1) the high-Q WGMs can be excited in free space, and (2) over 50% of the microcavity laser emission can be collected within less than ${1}^{\circ}$. This coupling system holds great potential for low threshold microlasers free of external couplers.Comment: 10 pages, 8 figure

Strongly enhanced light-matter interaction in a hybrid photonic-plasmonic resonator

We propose a hybrid photonic-plasmonic resonant structure which consists of a metal nanoparticle (MNP) and a whispering gallery mode (WGM) microcavity. It is found that the hybrid mode enables a strong interaction between the light and matter, and the single-atom cooperativity is enhanced by more than two orders of magnitude compared to that in a bare WGM microcavity. This remarkable improvement originates from two aspects: (1) the MNP offers a highly enhanced local field in the vicinity of an emitter, and (2), surprisingly, the high-\textit{Q} property of WGMs can be maintained in the presence of the MNP. Thus the present system has great advantages over a single microcavity or a single MNP, and holds great potential in quantum optics, nonlinear optics and highly sensitive biosening.Comment: 5 pages, 4 figure

Generalized Concatenation for Quantum Codes

We show how good quantum error-correcting codes can be constructed using generalized concatenation. The inner codes are quantum codes, the outer codes can be linear or nonlinear classical codes. Many new good codes are found, including both stabilizer codes as well as so-called nonadditive codes.Comment: 5 pages, to be presented at ISIT 200

Ozone predictabilities due to meteorological uncertainties in the Mexico City basin using ensemble forecasts

The purpose of the present study is to investigate the sensitivity of ozone (O<sub>3</sub>) predictions in the Mexico City Metropolitan Area (MCMA) to meteorological initial uncertainties and planetary boundary layer (PBL) parameterization schemes using state-of-the-art meteorological and photochemical prediction models through ensemble forecasts. The simulated periods (3, 9, 15 and 29 March 2006) represent four typical meteorological episodes ("South-Venting", "O<sub>3</sub>-North", "O<sub>3</sub>-South" and "Convection-North", respectively) in the Mexico City basin during the MCMA-2006/MILAGRO campaign. Our results demonstrate that the uncertainties in meteorological initial conditions have significant impacts on O<sub>3</sub> predictions, including peak time O<sub>3</sub> concentrations ([O<sub>3</sub>]), horizontal and vertical O<sub>3</sub> distributions, and temporal variations. The ensemble spread of the simulated peak [O<sub>3</sub>] averaged over the city's ambient monitoring sites can reach up to 10 ppb. The increasing uncertainties in meteorological fields during peak O<sub>3</sub> period contribute to the largest unpredictability in O<sub>3</sub> simulations, while the impacts of wind speeds and PBL height on [O<sub>3</sub>] are more straightforward and important. The magnitude of the ensemble spreads varies with different PBL schemes and meteorological episodes. The uncertainties in O<sub>3</sub> predictions caused by PBL schemes mainly come from their ability to represent the mixing layer height; but overall, these uncertainties are smaller than those from the uncertainties in meteorological initial conditions

Emergence of five kinds of aminoglycoside-modifying enzyme genes simultaneously in a strain of multidrugresistant Escherichia coli in China

AbstractA strain of Escherichia coli was positive for 5 aminoglycoside modifying enzyme genes (aac(3)-I, aac(6′)-Ib-cr, ant(3′)-1, aadA5, and aph(3′)-I) in PCR assays. And these positive genes confer resistance to aminoglycosides (gentamicin and tobramycin). This is the first report of emergence of five kinds of aminoglycoside-modifying enzymes genes simultaneously in E. coli worldwide

High Performance Single-Error-Correcting Quantum Codes for Amplitude Damping

Original manuscript July 29, 2009We construct families of high performance quantum amplitude damping codes. All of our codes are nonadditive and most modestly outperform the best possible additive codes in terms of encoded dimension. One family is built from nonlinear error-correcting codes for classical asymmetric channels, with which we systematically construct quantum amplitude damping codes with parameters better than any prior construction known for any block length n ≥ 8 except n=2r-1. We generalize this construction to employ classical codes over GF(3) with which we numerically obtain better performing codes up to length 14. Because the resulting codes are of the codeword stabilized (CWS) type, conceptually simple (though potentially computationally expensive) encoding and decoding circuits are available

Pengaruh Penambahan Gula Pasir Terhadap Kuat Tekan Dan Sifat Kedap Air Mortar

Penggunanan mortar pada pekerjaan dinding rumah, kamar mandi, ataupun bak air saat ini belum maksimal karena banyak dijumpai retak dan tidak kedap air. Dalam mengatasi masalah ini biasa digunakan bahan kimia tambahan (chemical admixtures), tetapi bahan kimia tersebut harganya mahal dan sulit didapat. Penelitian ini bertujuan untuk mengetahui pengaruh penambahan gula pasir terhadap kuat tekan dan sifat kedap air pada mortar. Benda uji yang dipakai untuk pembuatan mortar berbentuk kubus berukuran 5 x 5 x 5 cm dengan variasi penambahan gula pasir 0%, 0,05%, 0,10%, 0,15%, 0,20%, 0,25%, dan 0,30% dari berat semen. Variasi campuran yang dipakai adalah 1PCC : 4Psr, 1PCC : 6Psr, dan 1PCC : 8Psr. Kuat tekan mortar maksimum adalah kuat tekan mortar dengan penambahan gula pasir 0,10 – 0,15% dan menyebabkan kenaikan kuat tekan 18,4% dari kuat tekan mortar normal. Porositas dan absorpsi mortar yang paling kecil adalah mortar dengan tambahan gula pasir 0,10 – 0,15% . Porositas mortar turun 9,99% dari porositas mortar normal dan absorpsi turun 11,84% dari absorpsi mortar normal

Bayesian estimation of associations between identified longitudinal hormone subgroups and age at final menstrual period

Abstract Background Although follicle stimulating hormone (FSH) is known to be predictive of age at final menstrual period (FMP), previous methods use FSH levels measured at time points that are defined relative to the age at FMP, and hence are not useful for prospective prediction purposes in clinical settings where age at FMP is an unknown outcome. This study is aimed at assessing whether FSH trajectory feature subgroups identified relative to chronological age can be used to improve the prediction of age at FMP. Methods We develop a Bayesian model to identify latent subgroups in longitudinal FSH trajectories, and study the relationship between subgroup membership and age at FMP. Data for our study is taken from the Penn Ovarian Aging study, 1996–2010. The proposed model utilizes mixture modeling and nonparametric smoothing methods to capture hypothesized latent subgroup features of the FSH longitudinal trajectory; and simultaneously studies the prognostic value of these latent subgroup features to predict age at FMP. Results The analysis identified two FSH trajectory subgroups that were significantly associated with FMP age: 1) early FSH class (15 %), which displayed initial increases in FSH shortly after age 40; and 2) late FSH class (85 %), which did not have a rise in FSH until after age 45. The use of FSH subgroup memberships, along with class-specific characteristics, i.e., level and rate of FSH change at class-specific pre-specified ages, improved prediction of FMP age by 20–22 % in comparison to the prediction based on previously identified risk factors (BMI, smoking and pre-menopausal levels of anti-mullerian hormone (AMH)). Conclusions To the best of our knowledge, this work is the first in the area to demonstrate the existence of subgroups in FSH trajectory patterns relative to chronological age and the fact that such a subgroup membership possesses prediction power for age at FMP. Earlier ages at FMP were found in a subgroup of women with rise in FSH levels commencing shortly after age 40, in comparison to women who did not exhibit an increase in FSH until after 45 years of age. Periodic evaluations of FSH in these age ranges are potentially useful for predicting age at FMP.http://deepblue.lib.umich.edu/bitstream/2027.42/116209/1/12874_2015_Article_101.pd