view Pdf - Informatik - FB3
... concurrent application of single gates in order to reduce the overall execution time of the circuit realization. While first approaches for synthesis with respect to depth have recently been introduced (see e.g. [7–11]), the vast majority of design methods does not consider this metric. As an exampl ...
... concurrent application of single gates in order to reduce the overall execution time of the circuit realization. While first approaches for synthesis with respect to depth have recently been introduced (see e.g. [7–11]), the vast majority of design methods does not consider this metric. As an exampl ...
Spontaneously Broken Symmetries
... Spontaneous symmetry breaking is one of the main themes of physics in the past decades and crucial e ects in elementary particle physics and condensed matter physics are attributed to it [GHK]. Since this phenomenon was mainly studied within the context of quantum eld theory it became considered as ...
... Spontaneous symmetry breaking is one of the main themes of physics in the past decades and crucial e ects in elementary particle physics and condensed matter physics are attributed to it [GHK]. Since this phenomenon was mainly studied within the context of quantum eld theory it became considered as ...
Quantum Mechanical Addition of Angular Momenta and Spin
... We will refer in the following to Jk , k = 1, 2, 3 as the three components of the total angular momentum operator. The property (6.14) implies that the total angular momentum is conserved during the scattering process, i.e., that energy, and the eigenvalues of ~J2 and J3 are good quantum numbers. To ...
... We will refer in the following to Jk , k = 1, 2, 3 as the three components of the total angular momentum operator. The property (6.14) implies that the total angular momentum is conserved during the scattering process, i.e., that energy, and the eigenvalues of ~J2 and J3 are good quantum numbers. To ...
Renormalization without infinities – an elementary tutorial
... The divergences are therefore only due to having started with a singular parameterization of the family of models. Precisely the same is known or expected to hold for all renormalizable quantum field theories, since only this can explain the often observed fact that very different renormalization sc ...
... The divergences are therefore only due to having started with a singular parameterization of the family of models. Precisely the same is known or expected to hold for all renormalizable quantum field theories, since only this can explain the often observed fact that very different renormalization sc ...
From Quantum Gates to Quantum Learning
... states, and are characterized by a wave function . As an example (), it is possible to have light polarizations other than purely horizontal or vertical, such as slant 45 corresponding to the linear superposition of . In ternary logic, the notation for the superposition is , where , , and are c ...
... states, and are characterized by a wave function . As an example (), it is possible to have light polarizations other than purely horizontal or vertical, such as slant 45 corresponding to the linear superposition of . In ternary logic, the notation for the superposition is , where , , and are c ...
A Brief Analysis of the Mass-Energy Relation
... experiments to demonstrate the corpuscular nature of cathode rays, and to determine the mass-tocharge ratio of the electron [Ref. #1.a & 1.b]. Undoubtedly, the discovery of the electron, or as J. J. Thomson used to call it the 'electrified particle', has been a major setback for the idea of aetheria ...
... experiments to demonstrate the corpuscular nature of cathode rays, and to determine the mass-tocharge ratio of the electron [Ref. #1.a & 1.b]. Undoubtedly, the discovery of the electron, or as J. J. Thomson used to call it the 'electrified particle', has been a major setback for the idea of aetheria ...
Exotic path integrals and dualities
... • Topological field theory • Morse theory Supersymmetric localization is one of the fundamental reasons that supersymmetric field theory is quite elegant: supersymmetric path integrals simplify significantly as they can be evaluated by only considering certain fixed points of the supersymmetric theo ...
... • Topological field theory • Morse theory Supersymmetric localization is one of the fundamental reasons that supersymmetric field theory is quite elegant: supersymmetric path integrals simplify significantly as they can be evaluated by only considering certain fixed points of the supersymmetric theo ...
Probabilistic interpretation of resonant states
... We show that particles leak from the central region in the resonant state. The exponential divergence in space of the wave function is a direct consequence of the leaking particles. The particle number (in the form of the square modulus of the wave function) is conserved when we take the leak into a ...
... We show that particles leak from the central region in the resonant state. The exponential divergence in space of the wave function is a direct consequence of the leaking particles. The particle number (in the form of the square modulus of the wave function) is conserved when we take the leak into a ...
Differential Forms and Electromagnetic Field Theory
... The laws of electromagnetics are expressed in terms of integrals of fields represented by differential forms. To apply these laws, we must be able to compute the values of integrals of differential forms. Since one-forms are by definition mathematical quantities which are integrated over paths, the ...
... The laws of electromagnetics are expressed in terms of integrals of fields represented by differential forms. To apply these laws, we must be able to compute the values of integrals of differential forms. Since one-forms are by definition mathematical quantities which are integrated over paths, the ...
Introduction to the thermodynamic Bethe ansatz
... [4] who applied it to the Bose gas with delta function interaction, also known as the Lieb-Liniger model [5]. It was quickly adapted to lattice integrable models such as the Heisenberg spin chain [6, 7, 8] and Hubbard model [9, 10].1 The TBA can be used to compute the free energy of integrable fiel ...
... [4] who applied it to the Bose gas with delta function interaction, also known as the Lieb-Liniger model [5]. It was quickly adapted to lattice integrable models such as the Heisenberg spin chain [6, 7, 8] and Hubbard model [9, 10].1 The TBA can be used to compute the free energy of integrable fiel ...
Disorder-induced order with ultra-cold atoms
... leads to spontaneous magnetization and shows signs of a quantum phase transition. We base our conclusions on the numerical study a full range of staggered, regularly oscillating and normally distributed random fields. In all of these types of fields, we find disorder-induced ordering in the form of ...
... leads to spontaneous magnetization and shows signs of a quantum phase transition. We base our conclusions on the numerical study a full range of staggered, regularly oscillating and normally distributed random fields. In all of these types of fields, we find disorder-induced ordering in the form of ...
Revisiting the Einstein
... confrontation, but to understand what Einstein and Bohr were arguing about then and later, one must understand first their prior confrontations with the issue of entanglement. Einstein had been thinking about the problem for over twenty years, Bohr for nearly ten. From the very beginning, that is, f ...
... confrontation, but to understand what Einstein and Bohr were arguing about then and later, one must understand first their prior confrontations with the issue of entanglement. Einstein had been thinking about the problem for over twenty years, Bohr for nearly ten. From the very beginning, that is, f ...
Kitaev - Anyons
... Actually, the degeneracy is not absolute but very precise. It is lifted due to virtual particle tunneling across the torus, but this process is exponentially suppressed. Therefore the distance between ground energy levels is proportional to exp(L/n), where L is the linear size of the torus and n is ...
... Actually, the degeneracy is not absolute but very precise. It is lifted due to virtual particle tunneling across the torus, but this process is exponentially suppressed. Therefore the distance between ground energy levels is proportional to exp(L/n), where L is the linear size of the torus and n is ...
Unifying Classical and Quantum Key Distillation
... restrictions on the type of information given to Eve [3]. Based on these ideas, Maurer and Ahlswede and Csiszár have proposed an extended scenario where key is distilled from arbitrary correlated classical information (specified by a tripartite probability distribution) [2, 4]. In particular, Maure ...
... restrictions on the type of information given to Eve [3]. Based on these ideas, Maurer and Ahlswede and Csiszár have proposed an extended scenario where key is distilled from arbitrary correlated classical information (specified by a tripartite probability distribution) [2, 4]. In particular, Maure ...
Universal edge information from wavefunction deformation
... (with which to calculate the edge and entanglement Hamiltonian) give the boundary conditions on a circle (periodic/anti-periodic),Qand also the different Z2 symmetry sectors of G = n τnx (see discussion later and Ref. [19] for a more detailed explanation of the symmetry sectors corresponding to diff ...
... (with which to calculate the edge and entanglement Hamiltonian) give the boundary conditions on a circle (periodic/anti-periodic),Qand also the different Z2 symmetry sectors of G = n τnx (see discussion later and Ref. [19] for a more detailed explanation of the symmetry sectors corresponding to diff ...