Development of semi-classical and quantum tools for the
... Electronics surrounds many aspects of our everyday life. The progress of our actual society is somehow ultimately linked to the progress of electronics. Such progress demands smaller and faster devices. Therefore, the simulations tools needed to be able, to understand the behavior of emerging electr ...
... Electronics surrounds many aspects of our everyday life. The progress of our actual society is somehow ultimately linked to the progress of electronics. Such progress demands smaller and faster devices. Therefore, the simulations tools needed to be able, to understand the behavior of emerging electr ...
Contradiction within Paraxial Wave Optics and its - LAS
... This is in agreement with Eq. (9) which can be seen after insertion of Eq. (6b) into Eq. (9) and replacing L by z. But again the problem arises that the law of energy conservation is violated, since the angular frequency of the propagating photon depends on z. However, within the particle picture, a ...
... This is in agreement with Eq. (9) which can be seen after insertion of Eq. (6b) into Eq. (9) and replacing L by z. But again the problem arises that the law of energy conservation is violated, since the angular frequency of the propagating photon depends on z. However, within the particle picture, a ...
Real-time resolution of the causality paradox of time
... Time-dependent density-functional theory 共TDDFT兲 关1–3兴 is becoming a standard tool for the computation of time-dependent phenomena in condensed matter physics and quantum chemistry. Naturally the growing number of applications has generated a new interest in the foundations of the theory 共see, for e ...
... Time-dependent density-functional theory 共TDDFT兲 关1–3兴 is becoming a standard tool for the computation of time-dependent phenomena in condensed matter physics and quantum chemistry. Naturally the growing number of applications has generated a new interest in the foundations of the theory 共see, for e ...
Quantum conditional probability - E
... play such a role, cannot be interpreted as such. This claim holds whether quantum events are interpreted as projection operators in an abstract Hilbert space, as the physical values associated to them, or as measurement outcomes, both from a synchronic and a diachronic perspective. The only notion o ...
... play such a role, cannot be interpreted as such. This claim holds whether quantum events are interpreted as projection operators in an abstract Hilbert space, as the physical values associated to them, or as measurement outcomes, both from a synchronic and a diachronic perspective. The only notion o ...
Perfect state transfer over distance
... The transfer of a quantum state from one part of a physical unit, e.g., a qubit, to another part is a crucial ingredient for many quantum information processing protocols [6]. Currently, there are several ways of moving data around in a quantum computer. While some methods transfer quantum states by ...
... The transfer of a quantum state from one part of a physical unit, e.g., a qubit, to another part is a crucial ingredient for many quantum information processing protocols [6]. Currently, there are several ways of moving data around in a quantum computer. While some methods transfer quantum states by ...
An experimental chemist`s guide to ab initio quantum chemistry
... energy ( T , ) factors are ignored in formulating this equation. 2. One then uses the energies Ek(R) and wave functions +&;R) of this equation as a basis to express the full wave function = C k X k W +k(r;R). 3. The (xk(R)] are determined by insisting that this wave function obey the full N-electron ...
... energy ( T , ) factors are ignored in formulating this equation. 2. One then uses the energies Ek(R) and wave functions +&;R) of this equation as a basis to express the full wave function = C k X k W +k(r;R). 3. The (xk(R)] are determined by insisting that this wave function obey the full N-electron ...
Projective Measurements
... This is another explanation why orthogonal (classical) states can be copied as was stated in Section 2.7 because in possession of the exact information about such states we can build a quantum circuit producing them. ...
... This is another explanation why orthogonal (classical) states can be copied as was stated in Section 2.7 because in possession of the exact information about such states we can build a quantum circuit producing them. ...
Why the brain is probably not a quantum computer Max Tegmark
... part, de®ned as Hint H ÿ H1 ÿ H2 , so such a decomposition is always possible, although it is generally only useful if Hint is in some sense small. If Hint 0, i.e., if there is no interaction between the two subsystems, then it h, i 1; 2, that is, we can treat each subis easy to show that q_ i ...
... part, de®ned as Hint H ÿ H1 ÿ H2 , so such a decomposition is always possible, although it is generally only useful if Hint is in some sense small. If Hint 0, i.e., if there is no interaction between the two subsystems, then it h, i 1; 2, that is, we can treat each subis easy to show that q_ i ...
Lecture Notes in Statistical Mechanics and Mesoscopics Thermal
... The are two useful results for large N . One is the central limit theorem and the other is the large deviation theory. Central limit theorem.– We define the scaled variable ...
... The are two useful results for large N . One is the central limit theorem and the other is the large deviation theory. Central limit theorem.– We define the scaled variable ...
File
... • Vectors have both magnitude and direction. • Vectors must be added using vector addition. – You will have to treat vertical and horizontal vectors separately. ...
... • Vectors have both magnitude and direction. • Vectors must be added using vector addition. – You will have to treat vertical and horizontal vectors separately. ...
1 The quantum-classical boundary and the moments of inertia of
... nature of the quantum-classical transition. The robustness of classical behavior, both in the aspect that assembling a sufficiently large number of quantum objects together seems invariably to produce a classically behaved object, and for the robustness of classical states with respect to observatio ...
... nature of the quantum-classical transition. The robustness of classical behavior, both in the aspect that assembling a sufficiently large number of quantum objects together seems invariably to produce a classically behaved object, and for the robustness of classical states with respect to observatio ...
Randomness in (Quantum) Information Processing
... The second, and equally important, reason to study quantum information processing is that it is a generalization of classical information processing. It addresses all problems of information processing, but the main difference lies in the model of information, communication and computation. The quan ...
... The second, and equally important, reason to study quantum information processing is that it is a generalization of classical information processing. It addresses all problems of information processing, but the main difference lies in the model of information, communication and computation. The quan ...
The Age of Entanglement Quantum Computing the (Formerly) Uncomputable
... THE AGE OF ENTANGLEMENT ...
... THE AGE OF ENTANGLEMENT ...
THE LEAST ACTION PRINCIPLE AND THE RELATED CONCEPT
... cannot be obtained in classical ways. Moreover, the appropriate strong topologies for G are totally unrelated to the metrics induced by the kinetic energy. The goal of this paper is to overcome these difficulties in the following two steps. (i) Enlarge the framework with an adequate concept of gener ...
... cannot be obtained in classical ways. Moreover, the appropriate strong topologies for G are totally unrelated to the metrics induced by the kinetic energy. The goal of this paper is to overcome these difficulties in the following two steps. (i) Enlarge the framework with an adequate concept of gener ...
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.