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Articles 1 - 13 of 13
Full-Text Articles in Physical Sciences and Mathematics
Discriminating Orthogonal Single-Photon Images, Curtis J. Broadbent, Petros Zerom, Heedeuk Shin, John C. Howell, Robert W. Boyd
Discriminating Orthogonal Single-Photon Images, Curtis J. Broadbent, Petros Zerom, Heedeuk Shin, John C. Howell, Robert W. Boyd
Mathematics, Physics, and Computer Science Faculty Articles and Research
We can encode an image from an orthogonal basis set onto a single photon from a downconverted pair via the use of an amplitude mask. We can then discriminate the image imprinted on the photon from other images in the set using holographic-matched filtering techniques. We demonstrate this procedure experimentally for an image space of two objects, and we discuss the possibility of applying this method to a much larger image space. This process could have important implications for the manipulation of images at the quantum level.
Preservation Of Energy-Time Entanglement In A Slow Light Medium, Curtis J. Broadbent, Ryan M. Camacho, Ran Xin, John C. Howell
Preservation Of Energy-Time Entanglement In A Slow Light Medium, Curtis J. Broadbent, Ryan M. Camacho, Ran Xin, John C. Howell
Mathematics, Physics, and Computer Science Faculty Articles and Research
We demonstrate the preservation of entanglement of an energy-time entangled biphoton through a slow light medium. Using the D1 and D2 fine structure resonances of Rubidium, we delay one photon of the 1.5 THz biphoton by ∼1.3 correlation lengths and measure the fourth order correlation fringes. After the group delay the fringe visibility is reduced from 97.0±4.4% to 80.0±4.8%, but is still sufficient to violate a Bell inequality. We show that temporal broadening is the primary mechanism for reducing the fringe visibility and that smaller bandwidths lead to greatly reduced broadening.
Storage And Retrieval Of Multimode Transverse Images In Hot Atomic Rubidium Vapor, Praveen K. Vudyasetu, Ryan M. Camacho, John C. Howell
Storage And Retrieval Of Multimode Transverse Images In Hot Atomic Rubidium Vapor, Praveen K. Vudyasetu, Ryan M. Camacho, John C. Howell
Mathematics, Physics, and Computer Science Faculty Articles and Research
We report on the experimental realization of the storage of images in a hot vapor of Rubidium atoms. The images are stored in and retrieved from the long-lived ground state atomic coherences. We show that an image impressed onto a 500 ns pulse can be stored and retrieved up to 30 μs later. The image storage is made robust to diffusion by storing the Fourier transform of the image.
The Java 5 Generics Compromise Orthogonality To Keep Compatibility, Atanas Radenski, Jeff Furlong, Vladimir Zanev
The Java 5 Generics Compromise Orthogonality To Keep Compatibility, Atanas Radenski, Jeff Furlong, Vladimir Zanev
Mathematics, Physics, and Computer Science Faculty Articles and Research
In response to a long-lasting anticipation by the Java community, version 1.5 of the Java 2 platform - referred to as Java 5 - introduced generic types and methods to the Java language. The Java 5 generics are a significant enhancement to the language expressivity because they allow straightforward composition of new generic classes from existing ones while reducing the need for a plethora of type casts. While the Java 5 generics are expressive, the chosen implementation method, type erasure, has triggered undesirable orthogonality violations. This paper identifies six cases of orthogonality violations in the Java 5 generics and demonstrates …
Rational Functions Associated To The White Noise Space And Related Topics, Daniel Alpay, David Levanony
Rational Functions Associated To The White Noise Space And Related Topics, Daniel Alpay, David Levanony
Mathematics, Physics, and Computer Science Faculty Articles and Research
Motivated by the hyper-holomorphic case we introduce and study rational functions in the setting of Hida’s white noise space. The Fueter polynomials are replaced by a basis computed in terms of the Hermite functions, and the Cauchy-Kovalevskaya product is replaced by the Wick product.
Contrasting The 2007 And 2005 Hurricane Seasons: Evidence Of Possible Impacts Of Saharan Dry Air And Dust On Tropical Cyclone Activity In The Atlantic Basin, D. Sun, K. M. Lau, Menas Kafatos
Contrasting The 2007 And 2005 Hurricane Seasons: Evidence Of Possible Impacts Of Saharan Dry Air And Dust On Tropical Cyclone Activity In The Atlantic Basin, D. Sun, K. M. Lau, Menas Kafatos
Mathematics, Physics, and Computer Science Faculty Articles and Research
In this study, we provide preliminary evidence of possible modulation by Saharan dust of hurricane genesis and intensification, by contrasting the 2007 and 2005 hurricane seasons. It is found that dust aerosol loadings over the Atlantic Ocean are much higher in 2007 than in 2005. The temperature difference between 2007 and 2005 shows warming in the low-middle troposphere (900–700 hPa) in the dusty region in the eastern North Atlantic, and cooling in the Main Development Region (MDR). The humidity (wind) differences between 2007 and 2005 indicate significant drying (subsidence) in the Western North Atlantic (WNA) in 2007. The drier air …
A Study Of Land Surface Processes Using Land Surface Models Over The Little River Experimental Watershed, A. K. Sahoo, P. A. Dirmeyer, P. R. Houser, Menas Kafatos
A Study Of Land Surface Processes Using Land Surface Models Over The Little River Experimental Watershed, A. K. Sahoo, P. A. Dirmeyer, P. R. Houser, Menas Kafatos
Mathematics, Physics, and Computer Science Faculty Articles and Research
Three different land surface models (Hydrological improvements to the Simplified version of the Simple Biosphere model (HySSiB), Noah model, and Community Land Model (CLM)) were simulated on the NASA Goddard Space Flight Center’s Land Information System platform at 1-km resolution over the Little River Experimental Watershed, Georgia, and the simulated results were analyzed to address the local-scale land-atmosphere processes. All the three models simulated the soil moisture in space and time realistically. The Noah model produced higher soil moisture whereas the CLM got lower soil moisture with many dry down phases. CLM and HySSiB models were oversensitive to the atmospheric …
A Characterization Of Schur Multipliers Between Character-Automorphic Hardy Spaces, Daniel Alpay, M. Mboup
A Characterization Of Schur Multipliers Between Character-Automorphic Hardy Spaces, Daniel Alpay, M. Mboup
Mathematics, Physics, and Computer Science Faculty Articles and Research
We give a new characterization of character-automorphic Hardy spaces of order 2 and of their contractive multipliers in terms of de Branges Rovnyak spaces. Keys tools in our arguments are analytic extension and a factorization result for matrix-valued analytic functions due to Leech.
Patterns For Active E-Learning In Cms Environments, Atanas Radenski
Patterns For Active E-Learning In Cms Environments, Atanas Radenski
Mathematics, Physics, and Computer Science Faculty Articles and Research
The proliferation of course management systems (CMS) in the last decade stimulated educators in establishing novel active e-learning practices. Only a few of these practices, however, have been systematically described and published as pedagogic patterns. The lack of formal patterns is an obstacle to the systematic reuse of beneficial active e-learning experiences. This paper aims to partially fill the void by offering a collection of active e-learning patterns that are derived from our continuous course design experience in standard CMS environments, such as Moodle and Black-board. Our technical focus is on active e-learning patterns that can boost student interest in …
Color Transparency In Qcd And Post-Selection In Quantum Mechanics, Shmuel Nussinov, Jeff Tollaksen
Color Transparency In Qcd And Post-Selection In Quantum Mechanics, Shmuel Nussinov, Jeff Tollaksen
Mathematics, Physics, and Computer Science Faculty Articles and Research
We discuss color transparency in the nuclear QCD context from the perspective of pre- and post-selected ensembles. We show that the small size of the hadronic states can be explained by the peculiar "force of post-selection," in contrast to the more standard explanation based on external forces.
On The Reproducing Kernel Hilbert Spaces Associated With The Fractional And Bi-Fractional Brownian Motions, Daniel Alpay, David Levanony
On The Reproducing Kernel Hilbert Spaces Associated With The Fractional And Bi-Fractional Brownian Motions, Daniel Alpay, David Levanony
Mathematics, Physics, and Computer Science Faculty Articles and Research
We present decompositions of various positive kernels as integrals or sums of positive kernels. Within this framework we study the reproducing kernel Hilbert spaces associated with the fractional and bi-fractional Brownian motions. As a tool, we define a new function of two complex variables, which is a natural generalization of the classical Gamma function for the setting we consider.
Nonclassicality Without Entanglement Enables Bit Commitment, Howard Barnum, Oscar C. O. Dahlsten, Matthew S. Leifer, Ben Toner
Nonclassicality Without Entanglement Enables Bit Commitment, Howard Barnum, Oscar C. O. Dahlsten, Matthew S. Leifer, Ben Toner
Mathematics, Physics, and Computer Science Faculty Articles and Research
We investigate the existence of secure bit commitment protocols in the convex framework for probabilistic theories. The framework makes only minimal assumptions, and can be used to formalize quantum theory, classical probability theory, and a host of other possibilities. We prove that in all such theories that are locally non-classical but do not have entanglement, there exists a bit commitment protocol that is exponentially secure in the number of systems used.
Quantum Graphical Models And Belief Propagation, Matthew S. Leifer, D. Poulin
Quantum Graphical Models And Belief Propagation, Matthew S. Leifer, D. Poulin
Mathematics, Physics, and Computer Science Faculty Articles and Research
Belief Propagation algorithms acting on Graphical Models of classical probability distributions, such as Markov Networks, Factor Graphs and Bayesian Networks, are amongst the most powerful known methods for deriving probabilistic inferences amongst large numbers of random variables. This paper presents a generalization of these concepts and methods to the quantum case, based on the idea that quantum theory can be thought of as a noncommutative, operator-valued, generalization of classical probability theory. Some novel characterizations of quantum conditional independence are derived, and definitions of Quantum n-Bifactor Networks, Markov Networks, Factor Graphs and Bayesian Networks are proposed. The structure of Quantum Markov …