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DEVELOPMENT, IMPLEMENTATION AND APPLICATION OF ELECTRONIC STRUCTURAL DESCRIPTORS TO THE
... Roughly and generally speaking, theoretical chemistry may be defined as the use of non-experimental reasoning to explain or predict chemical phenomena. Therefore, a theoretical chemist uses chemical, physical, mathematical and computing skills to study chemical systems. In theoretical chemistry, che ...
... Roughly and generally speaking, theoretical chemistry may be defined as the use of non-experimental reasoning to explain or predict chemical phenomena. Therefore, a theoretical chemist uses chemical, physical, mathematical and computing skills to study chemical systems. In theoretical chemistry, che ...
Thesis - Institut für Physik
... 1.1. Structure of this Thesis This thesis is divided into seven chapters plus appendix. Especially the introductory chapters of this thesis follow the path of a handful of wonderful summaries of first theoretical predictions and descriptions as well as underlying experiments and historical backgroun ...
... 1.1. Structure of this Thesis This thesis is divided into seven chapters plus appendix. Especially the introductory chapters of this thesis follow the path of a handful of wonderful summaries of first theoretical predictions and descriptions as well as underlying experiments and historical backgroun ...
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... classical mechanics plus some additional ODEs. It is also established by Hagedorn [7, 8] that, even if the potential is not quadratic, under some regularity √ assumptions, the Gaussian wave packet approximates quantum dynamics to the order of O( ~) with the same set of ODEs governing the dynamics of ...
... classical mechanics plus some additional ODEs. It is also established by Hagedorn [7, 8] that, even if the potential is not quadratic, under some regularity √ assumptions, the Gaussian wave packet approximates quantum dynamics to the order of O( ~) with the same set of ODEs governing the dynamics of ...
Dual universality of hash functions and its
... Then, in Section VII, we apply our results on QKD to the quantum wire-tap channel. In this model, a sender Alice has channels to two receivers, i.e., an authorized receiver Bob, and an unauthorized receiver Eve, often referred to as a wiretapper. The channels from Alice to Bob and to Eve are not nec ...
... Then, in Section VII, we apply our results on QKD to the quantum wire-tap channel. In this model, a sender Alice has channels to two receivers, i.e., an authorized receiver Bob, and an unauthorized receiver Eve, often referred to as a wiretapper. The channels from Alice to Bob and to Eve are not nec ...
Derandomizing the Ahlswede-Winter matrix-valued Chernoff bound using pessimistic estimators, and applications
... suppose we have a randomized algorithm that constructs an object, and with some non-zero probability that object satisfies some property. Thus, our event σ is the event that the object satisfies the property, and our goal is to deterministically and efficiently find the object. In this paper our two ...
... suppose we have a randomized algorithm that constructs an object, and with some non-zero probability that object satisfies some property. Thus, our event σ is the event that the object satisfies the property, and our goal is to deterministically and efficiently find the object. In this paper our two ...
Notes on Semiclassical Gravity
... A entireiy different kind of (intermediate) limit is possible in the quantum theory of a system with two interacting degrees of freedom, say Q and q. In this (semiclassical) limit the motion of Q is classical, whereas the motion of q is quantum mechanical. Just as there is a well-defined approximati ...
... A entireiy different kind of (intermediate) limit is possible in the quantum theory of a system with two interacting degrees of freedom, say Q and q. In this (semiclassical) limit the motion of Q is classical, whereas the motion of q is quantum mechanical. Just as there is a well-defined approximati ...
Emergence of a classical world from within quantum theory
... Combinatorics & Optimization Department, University of Waterloo • Lee Smolin, Member of Committee Department of Physics, University of Waterloo ...
... Combinatorics & Optimization Department, University of Waterloo • Lee Smolin, Member of Committee Department of Physics, University of Waterloo ...
950 - IACR
... and thus the main advantage of QKD. If we use shared key authentication, a key needs to be exchanged beforehand. (And, if we exchange an authentication key in a personal meeting, why not just exchange enough key material for one-time pad encryption – storage is cheap.) Everlasting quantum security. ...
... and thus the main advantage of QKD. If we use shared key authentication, a key needs to be exchanged beforehand. (And, if we exchange an authentication key in a personal meeting, why not just exchange enough key material for one-time pad encryption – storage is cheap.) Everlasting quantum security. ...
Ockham`s razor and the interpretations of quantum mechanics
... In Ockham's epistemology, the idea is continued in the sense that contradictions cannot even be purpose of knowledge and perception. Perceptibility and contradictoriness exclude each other in principle, according to Ockham. The striking point is not that this idea is new, but that this is Ockham's s ...
... In Ockham's epistemology, the idea is continued in the sense that contradictions cannot even be purpose of knowledge and perception. Perceptibility and contradictoriness exclude each other in principle, according to Ockham. The striking point is not that this idea is new, but that this is Ockham's s ...
Tunneling
... On the LHS of the barrier, the particle is free. The waveform for free particles is 1 x AeiK x Be iK x The part of the wavefunctionA is interpreted as a wave incident on the barrier. B is the wave reflected. The squared-amplitude of intensity of the reflected wave relative to the incident ...
... On the LHS of the barrier, the particle is free. The waveform for free particles is 1 x AeiK x Be iK x The part of the wavefunctionA is interpreted as a wave incident on the barrier. B is the wave reflected. The squared-amplitude of intensity of the reflected wave relative to the incident ...
Quantum networking with single ions and single photons interfaced in free space
... one to tackle these issues through a qualitative computational speed-up [1]. Quantum computing Classical computers operate on registers of binary digits (bits) [2] that can be in the logical states 0 and 1. Following the input–process–output dogma [3], information is written onto the register, proce ...
... one to tackle these issues through a qualitative computational speed-up [1]. Quantum computing Classical computers operate on registers of binary digits (bits) [2] that can be in the logical states 0 and 1. Following the input–process–output dogma [3], information is written onto the register, proce ...
Introduction to Quantum Information Science
... Quantum Information Science is the amalgamation of Computer Science, Quantum Physics, and Information Theory, so we will begin by looking at the relevant history of these three elds. At the turn of the 20th Century physicists were trying to explain a plethora of phenomena and experimental results u ...
... Quantum Information Science is the amalgamation of Computer Science, Quantum Physics, and Information Theory, so we will begin by looking at the relevant history of these three elds. At the turn of the 20th Century physicists were trying to explain a plethora of phenomena and experimental results u ...
Probability amplitude
![](https://commons.wikimedia.org/wiki/Special:FilePath/Hydrogen_eigenstate_n5_l2_m1.png?width=300)
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.