Quantum computers - Quantum Engineering Group
... Today it is understood that the answer is yes, and many research groups around the world are working towards the highly ambitious technological goal of building a quantum computer, which would dramatically improve computational power for particular tasks. A number of physical systems, spanning much ...
... Today it is understood that the answer is yes, and many research groups around the world are working towards the highly ambitious technological goal of building a quantum computer, which would dramatically improve computational power for particular tasks. A number of physical systems, spanning much ...
Implications of the two nodal domains conjecture for ground state
... studying the phenomenon where two nodal lines (nodal sets in 2D) exhibit “avoided crossings.” This phenomenon has been investigated in excited states of two-dimensional model potentials,13 chaotic wave functions,14,15 quantum stadium,16 Gaussian random waves,17 and other two-dimensional cases. The p ...
... studying the phenomenon where two nodal lines (nodal sets in 2D) exhibit “avoided crossings.” This phenomenon has been investigated in excited states of two-dimensional model potentials,13 chaotic wave functions,14,15 quantum stadium,16 Gaussian random waves,17 and other two-dimensional cases. The p ...
Weyl--Heisenberg Representations in Communication Theory
... The theoretical description of the communication in time–varying environments is of central relevance for further increase of the efficiency and the data rate of future transmission techniques. In particular, the quasi–statistical assumption widely used for mobile wireless communication channels is ...
... The theoretical description of the communication in time–varying environments is of central relevance for further increase of the efficiency and the data rate of future transmission techniques. In particular, the quasi–statistical assumption widely used for mobile wireless communication channels is ...
Lesson 1: Vectors - Fundamentals and Operations
... Independence of Perpendicular Components of Motion • In the riverboat or airplane problems, the resultant velocity is obtained by adding the perpendicular components. These perpendicular components are independent of each other, which means, as one changes, the other is not affected at all. For exa ...
... Independence of Perpendicular Components of Motion • In the riverboat or airplane problems, the resultant velocity is obtained by adding the perpendicular components. These perpendicular components are independent of each other, which means, as one changes, the other is not affected at all. For exa ...
The Dappled World: A Study of the Boundaries of Science
... investigations cases where nature fortuitously resembles one of our special models without the enormous design and labour we must normally devote to making it do so. Carl Menger thought that economics works in the same way.3 Menger is one of the three economists credited with the notion of marginal ...
... investigations cases where nature fortuitously resembles one of our special models without the enormous design and labour we must normally devote to making it do so. Carl Menger thought that economics works in the same way.3 Menger is one of the three economists credited with the notion of marginal ...
Electron Scattering Intensities and Patterson Functions of Skyrmions
... their charge density is proportional to half their baryon density, ρ(x) = 12 B0 (x) [5, 6], which simplifies the calculation of scattering intensities. Note that only the B = 1 Skyrmion has a spherically symmetric baryon density. An isospin zero nucleus must have equal numbers of protons and neutron ...
... their charge density is proportional to half their baryon density, ρ(x) = 12 B0 (x) [5, 6], which simplifies the calculation of scattering intensities. Note that only the B = 1 Skyrmion has a spherically symmetric baryon density. An isospin zero nucleus must have equal numbers of protons and neutron ...
Heisenberg (and Schrödinger, and Pauli) on Hidden - Hal-SHS
... placed at some point along the grating to deflect the electron in an arbitrary direction. However, the electron is deflected only in the discrete directions that depend on the global properties of the grating, thereby giving rise to the observed interference pattern. As Heisenberg notes, the only wa ...
... placed at some point along the grating to deflect the electron in an arbitrary direction. However, the electron is deflected only in the discrete directions that depend on the global properties of the grating, thereby giving rise to the observed interference pattern. As Heisenberg notes, the only wa ...
Coherence conditions for groups of Rydberg atoms
... the simulation. Figure 2(a) was generated using the vdW (1/R 6 ) interaction, while figure 2(b) used the dipole–dipole interaction (1/R 3 ). At the lowest density, Q(Pe ) −1Pe , indicating a very low level of correlation. In essence, we have a group of isolated two-level systems. As the density is ...
... the simulation. Figure 2(a) was generated using the vdW (1/R 6 ) interaction, while figure 2(b) used the dipole–dipole interaction (1/R 3 ). At the lowest density, Q(Pe ) −1Pe , indicating a very low level of correlation. In essence, we have a group of isolated two-level systems. As the density is ...
Compatibility in Multiparameter Quantum Metrology
... chosen a probe state and a measurement, it may happen that the resulting FI matrix is non-diagonal. This means that the estimators for the parameters will not be independent. Considering now the separate scheme of Fig. 1b and assuming all parameters except the i-th one are perfectly known, the singl ...
... chosen a probe state and a measurement, it may happen that the resulting FI matrix is non-diagonal. This means that the estimators for the parameters will not be independent. Considering now the separate scheme of Fig. 1b and assuming all parameters except the i-th one are perfectly known, the singl ...
Probability amplitude
In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.