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Year 2012
Year 2011
  • A comparison of geometric analogues of holographic reduced representations, original holographic reduced representations and binary spatter codes
    Publication

    - Year 2011

    Geometric Analogues of Holographic Reduced Representations (GA HRR) employ role-filler binding based on geometric products. Atomic objects are real-valued vectors in n-dimensional Euclidean space and complex statements belong to a hierarchy of multivectors. The paper reports a battery of tests aimed at comparison of GA HRR with Holographic Reduced Representation (HRR) and Binary Spatter Codes (BSC). Firstly, we perform a test of...

  • Acoustic heating produced in the thermoviscous flow of a bingham plastic

    This study is devoted to the instantaneous acoustic heating of a Bingham plastic. The model of the Bingham plastic's viscous stress tensor includes the yield stress along with the shear viscosity, which differentiates a Bingham plastic from a viscous Newtonian fluid. A special linear combination of the conservation equations in differential form makes it possible to reduce all acoustic terms in the linear part of of the final equation...

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  • Acoustic heating produced in the thermoviscous flow of a Bingham plastic

    This study is devoted to the instantaneous acoustic heating of a Bingham plastic. The model of the Bingham plastic's viscous stress tensor includes the yield stress along with the shear viscosity, which differentiates a Bingham plastic from a viscous Newtonian fluid. A special linear combination of the conservation equations in differential form makes it possible to reduce all acoustic terms in the linear part of of the final equation...

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  • Acoustic Heating Produced in the Thermoviscous Flow of a Shear-Thinning Fluid
    Publication

    This study is devoted to the instantaneous acoustic heating of a shear-thinningfluid. Apparent viscosity of a shear-thinning fluid depends on the shear rate. Thatfeature distinguishes it from a viscous Newtonian fluid. The special linear combi-nation of conservation equations in the differential form makes it possible to derivedynamic equations governing both the sound and non-wave entropy mode inducedin the field of sound. These...

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  • All Nonclassical Correlations Can Be Activated into Distillable Entanglement
    Publication
    • M. Piani
    • S. Gharibian
    • G. Adesso
    • J. Calsamigilia
    • P. Horodecki
    • A. Winter

    - PHYSICAL REVIEW LETTERS - Year 2011

    We devise a protocol in which general nonclassical multipartite correlations produce a physically relevant effect, leading to the creation of bipartite entanglement. In particular, we show that the relative entropy of quantumness, which measures all nonclassical correlations among subsystems of a quantum system, is equivalent to and can be operationally interpreted as the minimum distillable entanglement generated between the system...

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  • Collective Uncertainty Entanglement Test
    Publication

    - PHYSICAL REVIEW LETTERS - Year 2011

    For a given pure state of a composite quantum system we analyze the product of its projections onto aset of locally orthogonal separable pure states. We derive a bound for this product analogous to theentropic uncertainty relations. For bipartite systems the bound is saturated for maximally entangled statesand it allows us to construct a family of entanglement measures, we shall call collectibility. As thesequantities are experimentally...

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  • Distributed Representations Based on Geometric Algebra: the Continuous Model
    Publication

    - Informatica - Year 2011

    Authors revise the concept of a distributed representation of data as well as two previously developed models: Holographic Reduced Representation (HRR) and Binary Spatter Codes (BSC). A Geometric Analogue (GAc - ''c'' stands for continuous as opposed to its discrete version) of HRR is introduced - it employs role-filler binding based on geometric products. Atomic objects are real-valued vectors in n-dimensional Euclidean space...

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  • Efficiency of acoustic heating in the Maxwell fluid
    Publication

    The nonlinear effects of sound in a fluid describing by the Maxwell model of the viscous stress tensor is the subject of investigation. Among other, viscoelastic biological media belong to this non-newtonian type of fluids. Generation of heating of the medium caused by nonlinear transfer of acoustic energy, is discussed in details. The governing equation of acoustic heating is derived by means of the special linear combination...

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  • Efficiency of acoustic heating in the Maxwell fluid
    Publication

    The nonlinear effects of sound in a fluid describing by the Maxwell model of the viscous stress tensor is the subject of investigation. Among other, viscoelastic biological media belong to this non-newtonian type of fluids. Generation of heating of the medium caused by nonlinear transfer of acoustic energy, is discussed in details. The governing equation of acoustic heating is derived by means of the special linear combination...

  • Experimental Extraction of Secure Correlations from a Noisy Private State
    Publication
    • K. Dobek
    • M. Karpiński
    • R. Demkowicz-Dobrzański
    • K. Banaszek
    • P. Horodecki

    - PHYSICAL REVIEW LETTERS - Year 2011

    We report experimental generation of a noisy entangled four-photon state that exhibits a separation between the secure key contents and distillable entanglement, a hallmark feature of the recently established quantum theory of private states. The privacy analysis, based on the full tomographic reconstruction of the prepared state, is utilized in a proof-of-principle key generation. The inferiority of distillation-based strategies...

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  • generation of the vorticity mode by sound in a bingham plastic

    This study investigates interaction between acoustic and non-acoustic modes, such as vorticity mode,in some class of a non-newtonian fluid called Bingham plastic. The instantaneous equations describinginteraction between different modes are derived. The attention is paid to the nonlinear effects in the fieldof intense sound. The resulting equations which describe dynamics of both sound and the vorticity modeapply to both periodic...

  • Generation of vorticity mode by sound in Bingham plastic

    Badanie dotyczy interakcji między modami akustycznymi i nieakustycznymi (tj. mody wirowe) dla klasy płynów nienewtonowskich zwanych płynami Binghama. Zostały wyprowadzone momentalne równania opisujące interakcje między modami. Uwzględnione zostały efekty nieliniowe w polu intensywnego dźwięku. Otrzymane równania opisują dynamikę zarówno akustycznych jak i wirowych modów (i mogą być stosowane zarówno do periodycznych i aperiodycznych...

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  • Generation of vorticity motion by sound in a chemically reacting gas and inversion of acoustic streaming in the non-equilibrium regime

    Badanie dotyczy nieliniowych pobudzeń modu wirowego wywoływanych przez straty momentu pędu w gazie, w którym zachodzą reakcje chemiczne. Zostało wyprowadzone chwilowe dynamiczne równanie dla modu wirowego. Zawiera ono nieliniową siłę akustyczną co pokazuje, że powodem interakcji między modami akustycznym i wirowym jest nieliniowość. Równanie pozwala jako przyczynę ruchu wirowego rozważać zarówno dźwięk okresowy, jak i aperiodyczny....

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  • Interaction between acoustic and non-acoustic mode in bubbly liquid
    Publication

    The nonlinear interaction of acoustic and entropy modes in a bubbly liquid is the subject of investigation. Thedynamic equation governing an excess density of the entropy mode is derived. Nonlinearity and dispersion are the reasons forexcitation of the entropy mode. The nonlinear interaction of modes as a reason for bubble to grow due to sound, is discovered.Some numerical examples of the modes interactions are made.

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  • Long-Distance FRET Analysis: A Monte Carlo Simulation Study
    Publication

    - JOURNAL OF PHYSICAL CHEMISTRY B - Year 2011

    Zaproponowano nową metodę na rozszerzenie zakresu stosowalności rezonansowego transferu energii (FRET) przetestowaną przy pomocy metody Monte Carlo. Otrzymane rezultaty dowodzą, że wydajność procesu FRET może być znacząco zwiększona w porównaniu z wydajnością pojedynczego akceptora, gdy dla ustalonej od donora umieścimy układ blisko siebie położonych akceptorów na makromolekule. Z drugiej strony metoda ta umożliwia zwiększenie...

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  • Multimode systems of nonlinear equations: derivation, integrability, and numerical solutions

    We consider the propagation of electromagnetic pulses in isotropic media taking a third-order nonlinearityinto account. We develop a method for transforming Maxwell's equations based on a complete set ofprojection operators corresponding to wave-dispersion branches (in a waveguide or in matter) with thepropagation direction taken into account. The most important result of applying the method is a systemof equations describing the...

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  • Non-Wave Variations in Temperature Caused by Sound in a Chemically Reacting Gas

    A weakly nonlinear generation of non-acoustic modes in the field of sound in a gas is considered. An exotericchemical reaction of A->B type, which takes place in a gas, may be reversible or not. Two types of sound areconsidered, low-frequency and high-frequency as compared with the characteristic time of a chemical reaction.For both these cases, the governing equations of non-acoustic modes are derived and conclusions of the efficiencyof...

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  • On structural physical approximations and entanglement breaking maps
    Publication

    - JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL - Year 2011

    Very recently, a conjecture saying that the so-called structural physical approximations (SPAs) to optimal positive maps (optimal entanglement witnesses) give entanglement breaking (EB) maps (separable states) has been posed (Korbicz et al 2008 Phys. Rev. A 78 062105). The main purpose of this contribution is to explore this subject. First, we extend the set of entanglement witnesses supporting the conjecture. Then, we ask whether...

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  • Postulates for measures of genuine multipartite correlations
    Publication

    - PHYSICAL REVIEW A - Year 2011

    A lot of research has been done on multipartite correlations. However, it seems strange thatthere is no denition of so called genuine multipartite correlations. In this paper we propose threereasonable postulates which each measure or indicator of genuine multipartite correlations (or gen-uine multipartite entanglement) should satisfy. We also introduce degree of correlations which givespartial characterization of multipartite...

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  • Propagation of acoustic pulses in some fluids with yield stress
    Publication

    This study is devoted to the derivation of approximate equations governing acoustic pulses in flows with yieldstress, including some time-dependent flows with a slow dependence on time of yield stress and apparent viscosity. Themodeling of yield stress and apparent viscosity in the vicinity of a zero deformation rate allows us to consider a thixotropicfluid as a Bingham plastic with coefficients that are dependent on time. The...

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  • Reversible energy transfer between monomers and fluorescent dimers of rhodamine S in polyvinyl alcohol films
    Publication

    - CHEMICAL PHYSICS - Year 2011

    Bezpromienisty transfer energii i jej pułapkowanie jest analizowane dla rodaminy S domieszkowanej w foliach PVA. Z analizy wynika że fluoryzujące dimery rodaminy S grają rolę niedoskonałych pułapek energii wzbudzenia. Dla najwyższych koncentracji barwnika wyniki doświadczalne wydajności kwantowej i anizotropii emisji nie mogą być wyjaśnione przy pomocy modelu pomijającego transfer powrotny energii do monomerów. Uwzględnienie transferu...

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  • Subadditivity of the minimum output entropy and superactivation of the classical capacity of quantum multiple access channels
    Publication

    We study subadditivity of the minimum output entropy (Hmin) of quantum multiple access channels (MACs). We provide an example of violation of the additivity theorem for Hmin known in classical information theory. Our result is based on a fundamental property of MACs, i.e., independence of each sender. The channels used in the example can be constructed explicitly. On the basis of subadditivity of Hmin we also provide an example...

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  • Unusual streaming in chemically reacting gases
    Publication

    Nonlinear stimulation of the vorticity mode caused by losses in the momentum of sound in the chemically reacting gas, is considered. The instantaneous dynamic equation which describes the nonlinear generation of the vorticity mode, is derived. It includes a quadratic nonlinear acoustic source. Both periodic and aperiodic sound may be considered as the origin of the vorticity flow. In the non-equilibrium regime of the chemical reaction,...

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  • Vacuum Rabi oscillation in nonzero-temperature open cavity

    Porównania teorii oscylacji Rabiego z eksperymentem [M. Wilczewski, M. Czachor, Phys. Rev. A 79, 0333836 (2009)] sugerują, że parametry wnęki doświadczeniu z dużą ilością fotonów mogą być znacznie mniejsze niż te otrzymane dla stanów prawie próżniowych. W tym kontekście pokazujemy, że wniosek pozostaje bez zmian, nawet jeśli do opisu stanu początkowego wnęki zastosuje się bardziej realistyczny opis.

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Year 2010
  • A few steps more towards NPT bound entanglement
    Publication

    - IEEE TRANSACTIONS ON INFORMATION THEORY - Year 2010

    In this paper, existence of bound entangled states with nonpositive partial transpose (NPT) is considered. As one knows, existence of such states would in particular imply nonadditivity of distillable entanglement. Moreover, it would rule out a simple mathematical description of the set of distillable states. The particular state, known to be 1-copy nondistillable and supposed to be bound entangled, is considered. The problem of...

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  • Agent-based social network as a simulation of a market behaviour
    Publication

    - Year 2010

    Recent years and the outbreak of world's economic crisis in 2008 proved the crucial importance of reliable analysis of market dynamics. However, werarely apply models of proper detail level (the global prosperity forecast of 2007 can be seen as a grim proof). The behaviour of individuals and companies is far from being ideal and rational. Many claims that the economic paradigm of rational expectations (coming from J. Muth and R....

  • Are quantum correlations symmetric?
    Publication

    - QUANTUM INFORMATION & COMPUTATION - Year 2010

    We provide operational definition of symmetry of entanglement: An entangled state contains symmetric entanglement if its subsystems can be exchanged (swapped) by means of local operations and classical communication. We show that in general states have asymmetric entanglement. This allows to construct nonsymmetric measure of entanglement, and a parameter that reports asymmetry of entanglement contents of quantum state. We propose...

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  • Aspects of multistation quantum information broadcasting
    Publication

    We study quantum information transmission over multiparty quantum channel. In particular, we show an equivalence of different capacity notions and provide a multiletter characterization of a capacity region for a general quantum channel with k senders and m receivers. We point out natural generalizations to the case of two-way classical communication capacity. (C) 2010 Elsevier B.V. All rights reserved.

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