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Wyniki wyszukiwania dla: REVIEW

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Wyniki wyszukiwania dla: REVIEW

  • System information propagation for composite structures

    We study in details decoherence process of a spin register, coupled to a spin environment. We use recently developed methods of information transfer study in open quantum systems to analyze information flow between the register and its environment. We show that there are regimes when not only the register decoheres effectively to a classical bit string, but this bit string is redundantly encoded in the environment, making it available...

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  • Second-order Stark effect and polarizability of a relativistic two-dimensional hydrogenlike atom in the ground state

    Publikacja

    The second-order Stark effect for a planar Dirac one-electron atom in the ground state is analyzed within the framework of the Rayleigh-Schrödinger perturbation theory, with the use of the Sturmian series expansion of the generalized Dirac-Coulomb Green's function. A closed-form analytical expression for the static dipole polarizability of that system is found. The formula involves the generalized hypergeometric function ${}_{3}F_{2}$...

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  • Electron collisions with cyanoacetylene HC3N : Vibrational excitation and dissociative electron attachment

    Publikacja
    • M. Ranković
    • P. Nag
    • M. Zawadzki
    • L. Ballauf
    • J. Žabka
    • M. Polášek
    • J. Kočišek
    • J. Fedor

    - PHYSICAL REVIEW A - Rok 2018

    We experimentally probe electron collisions with HC3N in the energy range from 0 to 10 eV with the focus on vibrational excitation and dissociative electron attachment. The vibrational excitation cross sections show a number of resonances which are mode specific: the two dominant π∗ resonances are visible in the excitation of all the vibrational modes; however, broad σ ∗ resonances are visible only in certain bond-stretching vibrational...

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  • Local variance factors in deformation analysis of non-homogenous monitoring networks

    Publikacja

    - SURVEY REVIEW - Rok 2013

    This paper proposes a modification of the classical deformation analysis algorithm for non-homogeneous (e.g. linear-angular) monitoring networks. The basis for the proposed solution is the idea of local variance factors. The theoretical discussion was complemented with an example of its application on a simulated horizontal monitoring network. The obtained results confirm the usefulness of the proposed solution.

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  • Continuum wave functions for estimating the electric dipole moment: Calculation based on a multiconfiguration Dirac-Hartree-Fock approximation

    Publikacja

    - PHYSICAL REVIEW A - Rok 2019

    The multiconfiguration Dirac-Hartree-Fock method is employed to calculate the continuum electron wave functions, which are then used to estimate their contribution to the atomic electric dipole moment (EDM) of 129Xe. The EDM arises from (P,T)-odd electron-nucleon tensor-pseudotensor and pseudoscalar-scalar interactions, the nuclear Schiff moment, the interaction of the electron electric dipole moment with nuclear magnetic moments,...

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  • Low-energy electron scattering from molecular hydrogen: Excitation of the X1Σg+ to b3Σu+ transition

    Publikacja
    • M. Zawadzki
    • R. Wright
    • G. Dolmat
    • M. Martin
    • B. Diaz
    • L. Hargreaves
    • D. Coleman
    • D. Fursa
    • M. Zammit
    • L. Scarlett... i 4 innych

    - PHYSICAL REVIEW A - Rok 2018

    We present time-of-flight differential cross-section measurements and convergent close-coupling calculations of differential cross sections for the electron-impact excitation of the X 1 g + → b 3 u + transition in molecular hydrogen. A part of this work was recently published [M. Zawadzki et al., Phys. Rev. A 97, 050702(R) (2018)]. In this work, agreement between theory and experiment is excellent overall, and marks a transition...

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  • Experimentally feasible semi-device-independent certification of four-outcome positive-operator-valued measurements

    Publikacja

    - PHYSICAL REVIEW A - Rok 2019

    Recently the quantum information science community devoted a lot of attention to the theoretical and practical aspects of generalized measurements, the formalism of all possible quantum operations leading to acquisition of classical information. On the other hand, due to imperfections present in quantum devices, and limited thrust to them, a trend of formulating quantum information tasks in a semi-device-independent manner emerged....

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  • The lethal effect of hydrotechnical concrete on freshwater Bivalvia

    Publikacja

    - Limnological Review - Rok 2019

    Most hydrotechnical buildings under construction demand the concrete mixture to be set directly under water. The main reason for such a procedure is to limit the washing away of the the concrete binding mixture and to increase the efficiency of organisation of work so as to ensure continuity in concreting. The impact on the aquatic environment of recent developments in concrete technology and the use of new components has not yet...

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  • Elastic scattering of electrons from chloroform

    Publikacja
    • B. Hlousek
    • M. F. Martin
    • M. Khakoo
    • M. Zawadzki
    • G. M. Moreira
    • L. S. Maioli
    • M. Bettega
    • L. Machado
    • V. A. S. d. Mata
    • A. J. da Silva... i 3 innych

    - PHYSICAL REVIEW A - Rok 2019

    We present experimental and theoretical cross sections for elastic electron scattering from CHCl3. This is an important target because of its relevance to environmental chemistry and the plasma etching industry as a source of chlorine radicals. The experimental results were obtained at incident electron energies ranging from 0.5 to 800 eV in the 10deg-130deg scattering angle range. Theoretically, the scattering cross sections in...

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  • Estimators of covariance matrices in Msplit(q) estimation

    Publikacja

    - SURVEY REVIEW - Rok 2021

    This paper proposes methods for the determination of covariance matrices of Msplit(q) estimators. The solutions presented here allow Msplit(q) estimation to be supplemented by the operations from the domain of accuracy analysis (especially that concerning estimators of parameters). Theoretical forms of covariance matrices of Msplit(q) estimators were established using the empirical influence functions and the equivalent covariance...

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  • Robustness of quantum-randomness expansion protocols in the presence of noise

    Publikacja

    - PHYSICAL REVIEW A - Rok 2013

    In this paper we investigate properties of several randomness generation protocols in the device independent framework. Using Bell-type inequalities it is possible to certify that the numbers generated by an untrusted device are indeed random. We present a selection of certificates which guarantee two bits of randomness for each run of the experiment in the noiseless case and require the parties to share a maximally entangled state....

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  • Relationship between semi- and fully-device-independent protocols

    Publikacja
    • H. Li
    • P. A. Mironowicz
    • M. Pawłowski
    • Z. Yin
    • Y. Wu
    • S. Wang
    • W. Chen
    • H. Hu
    • G. Guo
    • Z. Han

    - PHYSICAL REVIEW A - Rok 2013

    We study the relation between semi and fully device independent protocols. As a tool, we use the correspondence between Bell inequalities and dimension witnesses. We present a method for converting the former into the latter and vice versa. This relation provides us with interesting results for both scenarios. First, we find new random number generation protocols with higher bit rates for both the semi and fully device independent...

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  • Low-energy positron scattering from gas-phase pyrimidine: A quantum treatment of the dynamics and a comparison with experiments

    Publikacja

    - PHYSICAL REVIEW A - Rok 2013

    We are reporting detailed quantum scattering calculations that describe the diffusion of a beam of low-energy positrons interacting with the pyrimidine target as a gas-phase partner. The calculations have employed an essentially ab initio model for the short-range correlation interaction and for the electrostatic interaction of an impinging positron and the electron+nuclear structure of the target molecule at its equilibrium geometry.

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  • Reexamination of the decoherence of spin registers

    Publikacja

    - PHYSICAL REVIEW A - Rok 2019

    We revisit the decoherence process of a multiqubit register interacting with a thermal bosonic bath. We generalize the previous studies by considering not only the register’s behavior but also a part of its environment. In particular, we are interested in information flow from the register to the environment, which we describe using recently introduced multipartite quantum state structures called spectrum broadcast structures....

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  • The significance of proximity in cluster initiatives

    Publikacja

    Purpose – The main aim of this paper is to analyse relations between geographical and competence proximity and development of cooperation in cluster initiatives. Design/methodology/approach – The research was based on an original theoretical concept referring to the trajectory of development of cooperative relations in cluster initiatives. The research was carried out in mid-2017, in four purposefully selected clusterinitiatives....

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  • Experimental determination of H2 mass stopping powers for low-energy electrons

    Publikacja

    - PHYSICAL REVIEW A - Rok 2019

    We present experimental mass stopping powers of electrons in gaseous H2 obtained with an electron time- of-flight spectrometer, for the incident electron energy range of 11 to 25 eV. In our procedure, the average energy loss is derived from conversion of the measured electron time-of-flight spectra into equivalent electron energy-loss spectra. Our present results are compared with the only available experimental measurement and...

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  • Entangled Histories vs. the Two-State-Vector Formalism - Towards a Better Understanding of Quantum Temporal Correlations

    Publikacja

    The Two-State-Vector formalism and the Entangled Histories formalism are attempts to betterunderstand quantum correlations in time. Both formalisms share some similarities, but they are notidentical, having subtle differences in their interpretation and manipulation of quantum temporalstructures. However, the main objective of this paper is to prove that, with appropriately definedscalar products, both formalisms can be...

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  • Long-distance quantum communication over noisy networks without long-time quantum memory

    Publikacja
    • P. Mazurek
    • A. Grudka
    • M. Horodecki
    • P. Horodecki
    • J. Łodyga
    • Ł. Pankowski
    • A. Przysiężna

    - PHYSICAL REVIEW A - Rok 2014

    The problem of sharing entanglement over large distances is crucial for implementations of quantum cryptography. A possible scheme for long-distance entanglement sharing and quantum communication exploits networks whose nodes share Einstein-Podolsky-Rosen (EPR) pairs. In Perseguers et al. [Phys. Rev. A 78, 062324 (2008)] the authors put forward an important isomorphism between storing quantum information in a dimension D and transmission...

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  • Sensitivity of entanglement decay of quantum-dot spin qubits to the external magnetic field

    Publikacja

    - PHYSICAL REVIEW A - Rok 2014

    We study the decay of entanglement of quantum-dot electron-spin qubits under hyperfine-interaction-mediated decoherence.We show that two-qubit entanglement of a single entangled initial state may exhibit decay characteristic of two disentanglement regimes in a single sample, when the externalmagnetic field is changed. The transition is manifested by the suppression of time-dependent entanglement oscillations which are superimposed...

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  • Free randomness amplification using bipartite chain correlations

    Publikacja
    • A. Grudka
    • K. Horodecki
    • M. Horodecki
    • P. Horodecki
    • M. Pawłowski
    • R. Ramanathan

    - PHYSICAL REVIEW A - Rok 2014

    A direct analysis of the task of randomness amplification from Santha-Vazirani sources using the violation of the chained Bell inequality is performed in terms of the convex combination of no-signaling boxes required to simulate quantum violation of the inequality. This analysis is used to find the exact threshold value of the initial randomness parameter from which perfect randomness can be extracted in the asymptotic limit of...

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  • Quantum-state transfer in spin chains via isolated resonance of terminal spins

    Publikacja

    - PHYSICAL REVIEW A - Rok 2014

    We propose a quantum-state transfer protocol in a spin chain that requires only the control of the spins at the ends of the quantum wire. The protocol is to a large extent insensitive to inhomogeneity caused by local magnetic fields and perturbation of exchange couplings. Moreover, apart from the free evolution regime, it allows one to induce an adiabatic spin transfer, which provides the possibility of performing the transfer...

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  • Positron scattering on molecular hydrogen: Analysis of experimental and theoretical uncertainties

    Publikacja

    - PHYSICAL REVIEW A - Rok 2015

    Experiments performed in recent years on positron scattering from molecular hydrogen indicated a rise of the total cross section in the limit of zero energy, but essentially disagree on the amplitude of this rise. Mitroy and collaborators [J.-Y. Zhang et al., Phys. Rev. Lett. 103, 223202 (2009)] predicted a scattering length somewhat different from values deduced experimentally. Using a Markov chain Monte Carlo modified effective...

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  • Magnetizability of the relativistic hydrogenlike atom in an arbitrary discrete energy eigenstate: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function

    Publikacja

    The Sturmian expansion of the generalized Dirac--Coulomb Green function [R.\/~Szmytkowski, J.\ Phys.\ B 30 (1997) 825; erratum 30 (1997) 2747] is exploited to derive a closed-form expression for the magnetizability of an arbitrary discrete state of the relativistic one-electron atom with a point-like, spinless and motionless nucleus of charge $Ze$. The result has the form of a double finite sum involving the generalized hypergeometric...

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  • Dynamics of quantum entanglement

    Publikacja

    - PHYSICAL REVIEW A - Rok 2002

    A model of discrete dynamics of entanglement of a bipartite quantum state is considered. It involves a global unitary dynamics of the system and periodic actions of local bistochastic or decaying channel. For initially pure states the decay of entanglement is accompanied by an increase of von Neumann entropy of the system. We observe and discuss revivals of entanglement due to unitary interaction of subsystems. For some mixed states...

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  • Dynamical description of quantum computing: generic nonlocality of quantumnoise

    Publikacja

    We develop a dynamical non-Markovian description of quantum computing in the weak-coupling limit, in the lowest-order approximation. We show that the long-range memory of the quantum reservoir (such as the 1/t4 one exhibited by electromagnetic vacuum) produces a strong interrelation between the structure of noise and the quantum algorithm, implying nonlocal attacks of noise. This shows that the implicit assumption of quantum error...

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  • Dynamic polarizability of the relativistic hydrogenlike atom: Application of the Sturmian expansion of the Dirac-Coulomb Green function

    Publikacja

    We utilize the Sturmian expansion of the Dirac-Coulomb Green function [R. Szmytkowski, J. Phys. B 30, 825 (1997)] to obtain components of the dynamic dipole polarizability tensor of the relativistic hydrogenlike atom in the ground state. It is found that the tensor may be expressed in terms of two independent quantities: a scalar polarizability and a vector polarizability, the latter being of the relativistic origin. In the static...

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  • Larmor diamagnetism and Van Vleck paramagnetism in relativistic quantumtheory: the Gordon decomposition approach

    Publikacja

    We consider a charged Dirac particle bound in a scalar potential perturbed by a classical magnetic field derivable from a vector potential A(r). Using a procedure based on the Gordon decomposition of a field-induced current, we identify diamagnetic and paramagnetic contributions to the second-order perturbationtheory correction to the particle's energy. In contradiction to earlier findings, based on the sum-over-states approach,...

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  • Low-energy electron-hexafluoropropene (C3F6) scattering

    Zmierzono przekrój czynny na rozproszenie elektronów na drobinie C3F6 a zakresie energii 0.5 - 30 eV. Zaobserwowano dwa maksima o charakterze rezonansowym dla energii 3.2 eV oraz 9.5 eV. Wykazano wyraźny wpływ fluoryzacji na otrzymywane zależności energetyczne przekroju czynnego.

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  • Electron collisions with tetrafluoroethylene (C2F4) and ethylene (C2H4) molecules.

    Stosując liniową metodę transmisyjną zmierzono całkowite przekroje czynne(TCS) na zderzenie elektronów z drobinami C2F4 w zakresie energii 0.6-370eV.Stwierdzono obecność szerokiego maksimum przy ok. 30eV. Dla porównania zmierzono TCS dla C2H4. Przedyskutowano wpływ podstawienia atomu fluoru w miejsce wodoru.

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  • Relativistic Bennett Brassard cryptographic scheme, relativistic errors,and how to correct them.

    Publikacja

    Wprowadzono opis polaryzacji liniowej oparty o główne zerowe kierunki transformacji Lorentza. Formalizm ten został zastosowany do problemu eliminacji błędów w kryptografii kwantowej.

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  • Direct estimation of functional and density operators by local operations and classical communication.

    Publikacja

    - PHYSICAL REVIEW A - Rok 2003

    Wykazano, że można dokonywać detekcji splątania w paradygmacie odległych laboratoriów. Pokazano, jak można fizycznie zaimplementować strukturalne przybliżenie fizyczne niefizycznego odwzorowania w tym paradygmacie.

  • Reversible transformations from pure to mixed states and the unique measureof information.

    Publikacja

    - PHYSICAL REVIEW A - Rok 2003

    Wprowadzono protokół w którym kwantowe stany czyste są w sposób odwracalny przeprowadzane w stany mieszane. W oparciu o analizę protokołu wyprowadzono jednoznaczną miarę informacji. Dokonano porównania z innymi nieodwracalnymi protokółami przeprowadzającymi stany czyste w mieszane.

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  • Mean of continuous variables observable via measurment on a single qubit.

    Publikacja

    Wykazano, że pomiar wartości średniej obserwabli kwantowej można dokonać poprzez pomiar uogólniony przy użyciu pojedynczego bitu kwantowego. Wyprowadzony schemat poddano dyskusji w kontekście paradygmatu odległych laboratoriów oraz nierówności Bella.

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  • From limits of quantum operations to multicopy entanglement witnesses and state spectrum estimation.

    Publikacja

    Badano ograniczenia na nieliniowe transformacje stanu kwantowego. Wprowadzono strukturalne fizyczne przybliżenia niefizycznych odwzorowań liniowych.Zdefiniowano świadków splątania działających na wielu kopiach danego stanu.Pokazano zastosowanie obserwabli kwantowych w detekcji entropii Tsallisa.

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  • Mutually exclusive aspects of information carried by physical systems: complementarity between local and nonlocal information.

    Publikacja

    - PHYSICAL REVIEW A - Rok 2003

    Wykazano, że lokalna i nielokalna informacja zawarta w mieszanym stanie kwantowym spełnia w paradygmacie odległych laboratoriów swego rodzaju relację komplementarności. Relacja ta ma pewne podobieństwo do zasad nieoznaczoności dla entropii. Zasugerowano, że wprowadzona komplementarność stanowi rozszerzenie pojęcia komplementarności Bohra na układy złożone.

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  • Elemental and tight monogamy relations in nonsignaling theories

    Publikacja

    - PHYSICAL REVIEW A - Rok 2014

    Physical principles constrain the way nonlocal correlations can be distributed among distant parties. These constraints are usually expressed by monogamy relations that bound the amount of Bell inequality violation observed among a set of parties by the violation observed by a different set of parties. We prove here that much stronger monogamy relations are possible for nonsignaling correlations by showing how nonlocal correlations...

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  • Progress towards a unified approach to entanglement distribution

    Publikacja

    - PHYSICAL REVIEW A - Rok 2015

    Entanglement distribution is key to the success of secure communication schemes based on quantum mechanics, and there is a strong need for an ultimate architecture able to overcome the limitations of recent proposals such as those based on entanglement percolation or quantum repeaters. In this work we provide a broad theoretical background for the development of such technologies. In particular, we investigate the question of whether...

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  • Inequivalence of entanglement, steering, and Bell nonlocality for general measurements

    Publikacja
    • M. Quintino
    • T. Vértesi
    • D. Cavalcanti
    • R. Augusiak
    • M. Demianowicz
    • A. Acín
    • N. Brunner

    - PHYSICAL REVIEW A - Rok 2015

    Einstein-Podolsky-Rosen steering is a form of inseparability in quantum theory commonly acknowledged to be intermediate between entanglement and Bell nonlocality. However, this statement has so far only been proven for a restricted class of measurements, namely, projective measurements. Here we prove that entanglement, one-way steering, two-way steering, and nonlocality are genuinely different considering general measurements,...

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  • From unextendible product bases to genuinely entangled subspaces

    Publikacja

    - PHYSICAL REVIEW A - Rok 2018

    Unextendible product bases (UPBs) are interesting mathematical objects arising in composite Hilbert spaces that have found various applications in quantum information theory, for instance in a construction of bound entangled states or Bell inequalities without quantum violation. They are closely related to another important notion, completely entangled subspaces (CESs), which are those that do not contain any fully separable pure...

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  • Constructing genuinely entangled multipartite states with applications to local hidden variables and local hidden states models

    Publikacja

    - PHYSICAL REVIEW A - Rok 2018

    Building upon the results of R. Augusiak et al. [Phys. Rev. Lett. 115, 030404 (2015)] we develop a general approach to the generation of genuinely entangled multipartite states of any number of parties from genuinely entangled states of a fixed number of parties, in particular, the bipartite entangled ones. In our approach, certain isometries whose output subspaces are either symmetric or genuinely entangled in some multipartite...

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  • Negative result about the construction of genuinely entangled subspaces from unextendible product bases

    Publikacja

    Unextendible product bases (UPBs) provide a versatile tool with various applications across different areas of quantum information theory. Their comprehensive characterization is thus of great importance and has been a subject of vital interest for over two decades now. An open question asks about the existence of UPBs, which are genuinely unextendible, i.e., they are not extendible even with biproduct vectors. In other words,...

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  • Entanglement of genuinely entangled subspaces and states: Exact, approximate, and numerical results

    Publikacja

    - PHYSICAL REVIEW A - Rok 2019

    Genuinely entangled subspaces (GESs) are those subspaces of multipartite Hilbert spaces that consist only of genuinely multiparty entangled pure states. They are natural generalizations of the well-known notion of completely entangled subspaces, which by definition are void of fully product vectors. Entangled subspaces are an important tool of quantum information theory as they directly lead to constructions of entangled states,...

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  • Completely entangled subspaces of entanglement depth k

    Publikacja

       We introduce a class of entangled subspaces: completely entangled subspaces of entanglement depth k (k-CESs). These are subspaces of multipartite Hilbert spaces containing only pure states with an entanglement depth of at least k. We present an efficient construction of k-CESs of any achievable dimensionality in any multipartite scenario. Further, we discuss the relation between these subspaces...

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  • Dis/Trust and data-driven technologies

    Publikacja

    - Internet Policy Review - Rok 2023

    This concept paper contextualises, defines, and systematises the concepts of trust and distrust (and their interrelations), providing a critical review of existing literature so as to identify gaps, disjuncture, and continuities in the use of these concepts across the social sciences and in the context of the consolidation of the digital society. Firstly, the development of the concept of trust is explored by looking at its use...

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  • Aiming at methods’ wider adoption: Applicability determinants and metrics

    Publikacja

    Numerous computer science methods and techniques have been proposed by the scientific community. However, depending on the domain, only their minor fraction has met wider adoption. This paper brings attention to the concept of applicability - the notion that is well acknowledged in the scientific field but have not been analysed with respect to determinants, metrics and systematisation. The primary objective of the study was to...

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  • Strong-coupling superconductivity of SrIr2 and SrRh2 : Phonon engineering of metallic Ir and Rh

    Publikacja

    - PHYSICAL REVIEW B - Rok 2021

    Experimental and theoretical studies on superconductivity in SrIr2 and SrRh2 Laves phases are presented. The measured resistivity, heat capacity, and magnetic susceptibility confirm the superconductivity of these compounds with Tc = 6.07 and 5.41 K, respectively. Electronic structure calculations show that the Fermi surface is mostly contributed by 5d (4d) electrons of Ir (Rh), with Sr atoms playing the role of electron donors....

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  • Topological extraordinary optical transmission

    Publikacja
    • K. Baskourelos
    • O. Tsilipakos
    • T. Stefański
    • S. F. Galata
    • E. N. Economou
    • M. Kafesaki
    • K. L. Tsakmakidis

    - Physical Review Research - Rok 2022

    Τhe incumbent technology for bringing light to the nanoscale, the near-field scanning optical microscope, has notoriously small throughput efficiencies of the order of 10^4-10^5 or less. We report on a broadband, topological, unidirectionally guiding structure, not requiring adiabatic tapering and, in principle, enabling near-perfect (∼100%) optical transmission through an unstructured single arbitrarily subdiffraction slit at...

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  • Cognitive motivations and foundations for building intelligent decision-making systems

    Concepts based on psychology fit well with current research trends related to robotics and artificial intelligence. Biology-inspired cognitive architectures are extremely useful in building agents and robots, and this is one of the most important challenges of modern science. Therefore, the widely viewed and far-reaching goal of systems research and engineering is virtual agents and autonomous robots that mimic human behavior in...

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  • Possible quadrupole-order-driven commensurate-incommensurate phase transition in B20 CoGe

    Publikacja
    • S. Baek
    • V. Sidorov
    • A. V. Nikolaev
    • T. Klimczuk
    • F. Ronning
    • A. V. Tsvyashchenko

    - PHYSICAL REVIEW B - Rok 2022

    The B20-type cobalt germanide CoGe was investigated by measuring the specific heat, resistivity, and 59Co nuclear magnetic resonance (NMR).We observed a phase transition at TQ = 13.7 K, evidenced by a very narrow peak of the specific heat and sharp changes of the nuclear spin-spin (T −1 2 ) and spin-lattice (T −1 1 ) relaxation rates. The fact that the entropy release is extremely small and the Knight shift is almost independent...

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  • Ce site dilution effects in the antiferromagnetic heavy fermion CeIn3

    Publikacja

    - Physical Review Materials - Rok 2022

    La-doped intermetallic single crystals of Ce1−xLaxIn3 were synthesized via an In self-flux method throughout the entire range (x = 0–1). The prototypical heavy-fermion compound CeIn3 shows an antiferromagnetic phase transition at 10.1 K and becomes superconducting near a critical pressure where TN is completely suppressed. As the La concentration increases, Ce moments are diluted, and the lattice constant increases linearly, satisfying Vegard’s...

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