Aggregation Operations from Quantum Computing
... A binary function I : U 2 → U is an implication operator (implicator) if the following conditions hold: I0: I(1, 1) = I(0, 1) = I(0, 0) = 1 and I(1, 0) = 0. In [17] and [18], additional properties are considered to define a fuzzy implication obtained by an implicator: Definition 4. A fuzzy implicati ...
... A binary function I : U 2 → U is an implication operator (implicator) if the following conditions hold: I0: I(1, 1) = I(0, 1) = I(0, 0) = 1 and I(1, 0) = 0. In [17] and [18], additional properties are considered to define a fuzzy implication obtained by an implicator: Definition 4. A fuzzy implicati ...
Aspects of the Quantum Hall Effect
... They found, in addition to the integer plateaus, additional steps in the Hall resistance at fractional values of the filling factor, at ν = 13 , 51 and so on. The theoretical obstacle to explaining these features was stark and immediate: when ν < 1, there are more available degenerate electronic sta ...
... They found, in addition to the integer plateaus, additional steps in the Hall resistance at fractional values of the filling factor, at ν = 13 , 51 and so on. The theoretical obstacle to explaining these features was stark and immediate: when ν < 1, there are more available degenerate electronic sta ...
Algebraic Quantum Field Theory on Curved Spacetimes
... scalar R where the dimensionless constant ξ parametrises the strength of the coupling of φ to R. In principle one could consider more non-trivial coupling terms with the correct mass dimension such as f = (R αβ Rαβ )2 /(m 4 R), however these may be ruled out by either invoking Occam’s razor or by de ...
... scalar R where the dimensionless constant ξ parametrises the strength of the coupling of φ to R. In principle one could consider more non-trivial coupling terms with the correct mass dimension such as f = (R αβ Rαβ )2 /(m 4 R), however these may be ruled out by either invoking Occam’s razor or by de ...
Far-infrared-driven electron-hole correlations in a quantum dot with an internal... Roger Sakhel, Lars Jo¨nsson, and John W. Wilkins
... 兩 211;311典 . Hence the eigenstates of our Hamiltonian yield coupling between purely radiative determinants, between purely nonradiative determinants, or between any combination of these that conserves overall parity. These couplings lead to qualitatively different optical properties for a correlated ...
... 兩 211;311典 . Hence the eigenstates of our Hamiltonian yield coupling between purely radiative determinants, between purely nonradiative determinants, or between any combination of these that conserves overall parity. These couplings lead to qualitatively different optical properties for a correlated ...
Minimal normal measurement models of quantum instruments
... In addition, the work presented here has also applications in problems associated with optimizing the ‘Church of a Larger Hilbert Space” in sense of minimality. For instance, in the field of open quantum systems our results may be used to solve a minimal environment in which a composite system evolu ...
... In addition, the work presented here has also applications in problems associated with optimizing the ‘Church of a Larger Hilbert Space” in sense of minimality. For instance, in the field of open quantum systems our results may be used to solve a minimal environment in which a composite system evolu ...
Toward Practical Solid-State Based Quantum Memories
... the implementation of integrated quantum photonics. Finally, I studied the precision requirements for the spin echo technique [7]. This technique is necessary to extend the storage time in solid-state quantum memories, in which the coherence times are limited by spin inhomogeneous broadening. ...
... the implementation of integrated quantum photonics. Finally, I studied the precision requirements for the spin echo technique [7]. This technique is necessary to extend the storage time in solid-state quantum memories, in which the coherence times are limited by spin inhomogeneous broadening. ...
The Quantum IO Monad - School of Computer Science
... • we can exploit the existing support for Haskell, in the form of tools and libraries to develop our quantum programs. We believe that a purely functional approach is ideally suited for this venture, since it already makes effects explicit (in Haskell via the IO monad) and is close to a mathematical ...
... • we can exploit the existing support for Haskell, in the form of tools and libraries to develop our quantum programs. We believe that a purely functional approach is ideally suited for this venture, since it already makes effects explicit (in Haskell via the IO monad) and is close to a mathematical ...
Nonequilibrium entropy production in open and closed quantum
... an appropriate measure to quantify how far from equilibrium an arbitrary process operates in terms of the time averaged Bures length [Bur68, Bur69]. The definition of the Bures length will also serve as our starting point for the derivation of the generalized Heisenberg uncertainty relation [MT45, M ...
... an appropriate measure to quantify how far from equilibrium an arbitrary process operates in terms of the time averaged Bures length [Bur68, Bur69]. The definition of the Bures length will also serve as our starting point for the derivation of the generalized Heisenberg uncertainty relation [MT45, M ...
THE K-THEORY OF FREE QUANTUM GROUPS 1. Introduction A
... facts about quantum subgroups of discrete quantum groups and their homogeneous spaces. In section 4 we introduce and discuss the notion of a divisible quantum subgroup of a discrete quantum group. This concept appears naturally in the context of inheritance properties of the Baum-Connes conjecture. ...
... facts about quantum subgroups of discrete quantum groups and their homogeneous spaces. In section 4 we introduce and discuss the notion of a divisible quantum subgroup of a discrete quantum group. This concept appears naturally in the context of inheritance properties of the Baum-Connes conjecture. ...
Quantum Correlations in Optical Angle–Orbital Angular Momentum
... have previously been used to measure the orbital angular momentum of down-converted photons (25, 26), we used a spatial variation in the blazing function (27) to also measure the angular position of the down-converted photons. The advantage of SLMs over static holographic components, or other phase ...
... have previously been used to measure the orbital angular momentum of down-converted photons (25, 26), we used a spatial variation in the blazing function (27) to also measure the angular position of the down-converted photons. The advantage of SLMs over static holographic components, or other phase ...
An introduction to topological phases of electrons
... You may have heard a topologist described as “a mathematican who can’t tell the difference between a donut and a coffee cup.” As an example of the connections between geometry and topology, we start by discussing an integral that will help us classify twodimensional compact manifolds (surfaces witho ...
... You may have heard a topologist described as “a mathematican who can’t tell the difference between a donut and a coffee cup.” As an example of the connections between geometry and topology, we start by discussing an integral that will help us classify twodimensional compact manifolds (surfaces witho ...
Feynman-Kac formula for L´evy processes and semiclassical (Euclidean) momentum representation
... instead of (1.7) with initial condition g(·) ∈ S(R). Finally we will study the limiting behavior of (1.8) as ~ approaches 0. Usually there are two different methods to derive a Feynman-Kac type formula: • martingale methods combined with the Itô formula (see for example Section 5.7 of [14] and Sect ...
... instead of (1.7) with initial condition g(·) ∈ S(R). Finally we will study the limiting behavior of (1.8) as ~ approaches 0. Usually there are two different methods to derive a Feynman-Kac type formula: • martingale methods combined with the Itô formula (see for example Section 5.7 of [14] and Sect ...
5.3 Atomic Emission Spectra and the Quantum Mechanical Model
... Today, the wavelike properties of beams of electrons are useful in viewing objects that cannot be viewed with an optical microscope. • The electrons in an electron microscope have much smaller wavelengths than visible light. • These smaller wavelengths allow a much clearer enlarged image of a very s ...
... Today, the wavelike properties of beams of electrons are useful in viewing objects that cannot be viewed with an optical microscope. • The electrons in an electron microscope have much smaller wavelengths than visible light. • These smaller wavelengths allow a much clearer enlarged image of a very s ...
Canonical Transformations in Quantum Mechanics
... This definition applies at the purely algebraic level, and no Hilbert space or inner product need be mentioned. As a consequence, the transformation is itself neither unitary nor non-unitary. The immediate implication is that quantum canonical transformations may be non-unitary, a generalization bey ...
... This definition applies at the purely algebraic level, and no Hilbert space or inner product need be mentioned. As a consequence, the transformation is itself neither unitary nor non-unitary. The immediate implication is that quantum canonical transformations may be non-unitary, a generalization bey ...
E. Waltersson, On the role of the electron
... The different varieties of the quantum Monte Carlo methods are very powerful and yield virtually exact results. However, only the state with the lowest energy for each given symmetry is easily obtained and there is no straightforward way to obtain general excited states. It should also be stated her ...
... The different varieties of the quantum Monte Carlo methods are very powerful and yield virtually exact results. However, only the state with the lowest energy for each given symmetry is easily obtained and there is no straightforward way to obtain general excited states. It should also be stated her ...
Single component and binary mixtures of BECs in double
... B. Juliá-Díaz, Trobades Científiques de la Mediterrània, Menorca, 2010 ...
... B. Juliá-Díaz, Trobades Científiques de la Mediterrània, Menorca, 2010 ...
Intensities of analogous Rydberg series in CF3Cl, CF3Br and in
... In this Letter, the calculation and analysis of the absorption in the discrete spectral region by CF3Cl and CF3Br, as relevant representatives of the halogenated methanes, will be presented. Resonance, as well as Rydberg transitions will be dealt with through the molecular-adapted quantum defect orb ...
... In this Letter, the calculation and analysis of the absorption in the discrete spectral region by CF3Cl and CF3Br, as relevant representatives of the halogenated methanes, will be presented. Resonance, as well as Rydberg transitions will be dealt with through the molecular-adapted quantum defect orb ...
Photon trapping and transfer with solitons *
... split-step Fourier method. The initial condition used for numerical integration is the analytical solution uᐉm of Eq. 共10兲, and we again assume a zero walkoff term in Eq. 共5兲. The extra velocity is imparted to the photon on transfer, not by a walkoff term, but by the moving potential which results f ...
... split-step Fourier method. The initial condition used for numerical integration is the analytical solution uᐉm of Eq. 共10兲, and we again assume a zero walkoff term in Eq. 共5兲. The extra velocity is imparted to the photon on transfer, not by a walkoff term, but by the moving potential which results f ...
