Word - The Open University
... mechanics. In cases where the probability distributions are independent of time, a stationary-state approach can be used. In other cases, where probabilities are timedependent and motion is really taking place, a wave-packet approach can be used. The two approaches are related but different. In many ...
... mechanics. In cases where the probability distributions are independent of time, a stationary-state approach can be used. In other cases, where probabilities are timedependent and motion is really taking place, a wave-packet approach can be used. The two approaches are related but different. In many ...
9.1
... Figure 5 shows graphs of the vector av for different values of a. We write the vector (–1) v as –v. Thus –v is the vector with the same length as v but with the opposite direction. ...
... Figure 5 shows graphs of the vector av for different values of a. We write the vector (–1) v as –v. Thus –v is the vector with the same length as v but with the opposite direction. ...
Decoherence of a Quantum Bit Circuit
... limit. In order to reduce decoherence, the readout circuit should thus be switched off when the qubit is operated, and switched on just at readout time. Before explaining a possible strategy to circumvent this problem, we expose the basic concepts underlying decoherence in qubit circuits. The intera ...
... limit. In order to reduce decoherence, the readout circuit should thus be switched off when the qubit is operated, and switched on just at readout time. Before explaining a possible strategy to circumvent this problem, we expose the basic concepts underlying decoherence in qubit circuits. The intera ...
Equações de Onda Generalizadas e Quantização
... Prof. Dr. Paulo Afonso Faria da Veiga (Institute of Mathematics and Computer Sciences – University of Sao Paulo) Prof. Dr. André Gustavo Scagliusi Landulfo (Centro de Ciências Naturais e Humanas – Federal University of ABC) ...
... Prof. Dr. Paulo Afonso Faria da Veiga (Institute of Mathematics and Computer Sciences – University of Sao Paulo) Prof. Dr. André Gustavo Scagliusi Landulfo (Centro de Ciências Naturais e Humanas – Federal University of ABC) ...
72 063623 (2005) .
... In Fig. 1, we plot the snapshots of the orbits at times of multiple period and get the Poincaré section of the phase space for a pair of variables 共Sz , 兲, i.e., z-component spin and the azimuthal angle. It shows one big island and four small islands. Inside the islands motions are stable, outside ...
... In Fig. 1, we plot the snapshots of the orbits at times of multiple period and get the Poincaré section of the phase space for a pair of variables 共Sz , 兲, i.e., z-component spin and the azimuthal angle. It shows one big island and four small islands. Inside the islands motions are stable, outside ...
Topological quantum memory
... of great interest for future quantum technologies, as it defines a standard that should be met by designers of quantum hardware. The critical error probability per gate p c has been estimated as p c ⲏ10⫺4 ; very roughly speaking, this means that robust quantum computation is possible if the decohere ...
... of great interest for future quantum technologies, as it defines a standard that should be met by designers of quantum hardware. The critical error probability per gate p c has been estimated as p c ⲏ10⫺4 ; very roughly speaking, this means that robust quantum computation is possible if the decohere ...
Space from Hilbert space: Recovering geometry from bulk
... if we were to “excite” states in the interior by entangling them with exterior degrees of freedom, the emergent geometry would be dramatically altered so that the system would no longer resemble a smooth background manifold. In other words, those degrees of freedom are only “in the interior” in a ge ...
... if we were to “excite” states in the interior by entangling them with exterior degrees of freedom, the emergent geometry would be dramatically altered so that the system would no longer resemble a smooth background manifold. In other words, those degrees of freedom are only “in the interior” in a ge ...
Quantum Mechanics from Self
... theory. Why does the Dirac theory work so well? What are its limitations, and how might it be extended and improved? For purposes of our discussion, the Dirac theory is to be understood as a theory of the electron with electromagnetic interactions. Mathematically, it consists of the Dirac wave funct ...
... theory. Why does the Dirac theory work so well? What are its limitations, and how might it be extended and improved? For purposes of our discussion, the Dirac theory is to be understood as a theory of the electron with electromagnetic interactions. Mathematically, it consists of the Dirac wave funct ...
Including quantum effects in the dynamics of complex „i.e., large
... input into a multidimensional generalization of the WKB approximation.兲 Since this description includes interference and tunneling 共or classically forbidden processes in general, which arise as the analytic continuation of interference兲, all quantum effects in molecular dynamics are incorporated in ...
... input into a multidimensional generalization of the WKB approximation.兲 Since this description includes interference and tunneling 共or classically forbidden processes in general, which arise as the analytic continuation of interference兲, all quantum effects in molecular dynamics are incorporated in ...
THE CORRESPONDENCE PRINCIPLE AND THEORY CHOICE IN
... Principle may be broadly divided into two groups. One group views theories roughly as sets of propositions which describe events and processes in physical space-time together with laws that govern them. It is fair to say that this view, which agrees well with common-sense, enjoys a wide-spread suppo ...
... Principle may be broadly divided into two groups. One group views theories roughly as sets of propositions which describe events and processes in physical space-time together with laws that govern them. It is fair to say that this view, which agrees well with common-sense, enjoys a wide-spread suppo ...
1 Engineering Entanglement: Quantum Computation, Quantum
... mechanics, and to the wider implications of quantum field theory, and it was because of his take on both the formalism and interpretation of quantum mechanics that I got interested in quantum computers.” 10 Deutsch did not follow his mentors in Texas to pursue cosmology and astrophysics, though. He ...
... mechanics, and to the wider implications of quantum field theory, and it was because of his take on both the formalism and interpretation of quantum mechanics that I got interested in quantum computers.” 10 Deutsch did not follow his mentors in Texas to pursue cosmology and astrophysics, though. He ...
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.