ENTROPY
... The above-mentioned concept of entropy as the averaged uncertainty of a distribution, was stated in 1948 by the mathematician C. Shannon working at Bell Labs on Information Theory, trying to measure uncertainty, but the name entropy was coined in 1865 by the thermodynamicist R. Clausius for the int ...
... The above-mentioned concept of entropy as the averaged uncertainty of a distribution, was stated in 1948 by the mathematician C. Shannon working at Bell Labs on Information Theory, trying to measure uncertainty, but the name entropy was coined in 1865 by the thermodynamicist R. Clausius for the int ...
Chapter 1
... standard logic circuits are “NP-hard”. NP stands for non-polynomially, relating to the complexity that is non-polynomial. These are known problems hard to solve. The word NP-hard means that these problems are optimization problems that are counterparts of the “NP-complete” decision problems. NP comp ...
... standard logic circuits are “NP-hard”. NP stands for non-polynomially, relating to the complexity that is non-polynomial. These are known problems hard to solve. The word NP-hard means that these problems are optimization problems that are counterparts of the “NP-complete” decision problems. NP comp ...
Past Research
... Finite generation questions are of interest in their own right, but there are also important applications: When cohomology is finitely generated, one may define algebraic varieties associated to modules, called support varieties, that contain useful information. In work with Pevtsova [30], I studied ...
... Finite generation questions are of interest in their own right, but there are also important applications: When cohomology is finitely generated, one may define algebraic varieties associated to modules, called support varieties, that contain useful information. In work with Pevtsova [30], I studied ...
Singularity of the time-energy uncertainty in adiabatic perturbation
... obtained by taking the zero viscosity to start out with. Adiabatic perturbation1 is one of the fundamental approximations used in many fields. Its classic applications include the Born-Oppenheimer approximation9 of decoupling for the fast electronic motion from the slow ionic one, and adiabatic quan ...
... obtained by taking the zero viscosity to start out with. Adiabatic perturbation1 is one of the fundamental approximations used in many fields. Its classic applications include the Born-Oppenheimer approximation9 of decoupling for the fast electronic motion from the slow ionic one, and adiabatic quan ...
Electron transport, interaction and spin in graphene and graphene nanoribbons Artsem Shylau
... is then used to compute the conductance according to the Landauer approach. We find that the conductance quantization is suppressed in the magnetic field. This unexpected behavior results from the interactioninduced modification of the band structure which leads to formation of the compressible strips ...
... is then used to compute the conductance according to the Landauer approach. We find that the conductance quantization is suppressed in the magnetic field. This unexpected behavior results from the interactioninduced modification of the band structure which leads to formation of the compressible strips ...
Bohmian Trajectories of the Two-Electron Helium Atom
... wave mechanics in 1925 [37, 38, 39, 40], he did so by trying to associate, in some reasonable way, concepts normally associated with waves (frequency, wavelength, etc.) with material particles [41] (see also [32] for a discussion on this). In doing this, he arrived at his substitution rules – that e ...
... wave mechanics in 1925 [37, 38, 39, 40], he did so by trying to associate, in some reasonable way, concepts normally associated with waves (frequency, wavelength, etc.) with material particles [41] (see also [32] for a discussion on this). In doing this, he arrived at his substitution rules – that e ...
Disorder and entropy rate in discrete time quantum walks
... is not a suitable measure for the asymptotic per symbol information content. In information theory, however, ther exists a generalization, which is a suitable measure for general stochastic processes: the entropy rate. As classical walks are the textbook examples of Markov chains, for which the entr ...
... is not a suitable measure for the asymptotic per symbol information content. In information theory, however, ther exists a generalization, which is a suitable measure for general stochastic processes: the entropy rate. As classical walks are the textbook examples of Markov chains, for which the entr ...
Entanglement and state characterisation from two-photon interference
... This thesis analyses the effects of two-photon interference in a polarisation squeezed state under two different points of view: on one hand, it presents a new method to obtain the temporal wavefunction of a state of two photons; on the other hand, it studies the microscopic entanglement properties ...
... This thesis analyses the effects of two-photon interference in a polarisation squeezed state under two different points of view: on one hand, it presents a new method to obtain the temporal wavefunction of a state of two photons; on the other hand, it studies the microscopic entanglement properties ...
Advanced Quantum Mechanics
... is infinitely extended in space. This does not sit comfortably with the intuitive picture of localized ’particles’ scattering off a target. Formally, a particle is described by a quantum mechanical wave packet, i.e. a spatially localized superposition of momentum eigenstates. Once the scattering the ...
... is infinitely extended in space. This does not sit comfortably with the intuitive picture of localized ’particles’ scattering off a target. Formally, a particle is described by a quantum mechanical wave packet, i.e. a spatially localized superposition of momentum eigenstates. Once the scattering the ...
Notes on Semiclassical Gravity
... the energy-momentum tensor can act as the source for a semiclassical, c-number, gravitational field. The basic issues can be understood from the study of the semiclassical limit of a toy model, consisting of two interacting particles, which mimics the essential properties of quantum general relativi ...
... the energy-momentum tensor can act as the source for a semiclassical, c-number, gravitational field. The basic issues can be understood from the study of the semiclassical limit of a toy model, consisting of two interacting particles, which mimics the essential properties of quantum general relativi ...
... typically can have many stable (or metastable) states. The first part of the thesis presents our proposal for an implementation of a neural-network-like system for quantum information processing realized in a chain of trapped ions. Trapped ions are highly controllable quantum systems, where individu ...
Memory cost of quantum contextuality Linköping University Post Print
... example, QM predicts for the sequence ABC that the output is either +1, +1, +1 or one of the permutations of +1, −1, −1. More generally, if Q denotes a set of measurement sequences, we say that an automaton A obeys the set Q if the output for any sequence in Q matches the quantum prediction—i.e., if ...
... example, QM predicts for the sequence ABC that the output is either +1, +1, +1 or one of the permutations of +1, −1, −1. More generally, if Q denotes a set of measurement sequences, we say that an automaton A obeys the set Q if the output for any sequence in Q matches the quantum prediction—i.e., if ...
Quantum Computation with Molecular Nanomagnets
... results have been obtained: the decoherence time has been measured on several molecular nanomagnets and different molecules have been designed and synthesized with inspiration to computing schemes. In this chapter, we firstly introduce some fundamentals and then we review achievements obtained so fa ...
... results have been obtained: the decoherence time has been measured on several molecular nanomagnets and different molecules have been designed and synthesized with inspiration to computing schemes. In this chapter, we firstly introduce some fundamentals and then we review achievements obtained so fa ...
Density instabilities in multi-layer dipolar Fermi gases
... In this first chapter we are going to illustrate the introductory material and basic tools that will be needed later. We first are going to introduce the basic concepts about the linear response theory, in general terms, and then focus more specifically on its application to the study of density ins ...
... In this first chapter we are going to illustrate the introductory material and basic tools that will be needed later. We first are going to introduce the basic concepts about the linear response theory, in general terms, and then focus more specifically on its application to the study of density ins ...
