Dynamical Theories of Brownian Motion
... in this process is being played by the qualitative theory of ordinary differential equations, a subject having its roots in science and technology. There was opposition on the part of some topologists to this process, due to the loss of generality and the impurity of methods. It seems to me that the ...
... in this process is being played by the qualitative theory of ordinary differential equations, a subject having its roots in science and technology. There was opposition on the part of some topologists to this process, due to the loss of generality and the impurity of methods. It seems to me that the ...
Experimental violation of Bell inequalities for multi
... Compared with previous significant discoveries,3 this is the first analytical demonstration of Bell inequalities for bipartite quantum systems of arbitrarily high dimensionality. In addition to the fundamental interest for revealing fascinating aspects of quantum mechanics, Bell inequalities general ...
... Compared with previous significant discoveries,3 this is the first analytical demonstration of Bell inequalities for bipartite quantum systems of arbitrarily high dimensionality. In addition to the fundamental interest for revealing fascinating aspects of quantum mechanics, Bell inequalities general ...
Defining and Measuring Multi-partite Entanglement
... it is possible to achieve at least the same as with m partitions. This can be seen by taking two of the m partitions and considering them as a single partition. This procedure may be useful in determining suitable states for many party quantum communication, which may use more than just bipartite en ...
... it is possible to achieve at least the same as with m partitions. This can be seen by taking two of the m partitions and considering them as a single partition. This procedure may be useful in determining suitable states for many party quantum communication, which may use more than just bipartite en ...
Pauli exclusion principle - University of Illinois Archives
... Pauli looked for an explanation for these numbers, which were at first only empirical. At the same time he was trying to explain experimental results in the Zeeman effect in atomic spectroscopy and in ferromagnetism. He found an essential clue in a 1924 paper by E.C.Stoner which pointed out that for ...
... Pauli looked for an explanation for these numbers, which were at first only empirical. At the same time he was trying to explain experimental results in the Zeeman effect in atomic spectroscopy and in ferromagnetism. He found an essential clue in a 1924 paper by E.C.Stoner which pointed out that for ...
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... case. Our results can also be used to reduce the query complexity of graph isomorphism testers with quantum oracle access. ...
... case. Our results can also be used to reduce the query complexity of graph isomorphism testers with quantum oracle access. ...
Giovannini, D., Romero, J., Leach, J., Dudley, A, Forbes, A, and
... entanglement of high-dimensional states provides implementations of QKD that are more tolerant to eavesdropping and can improve the bit rate in other quantum communication protocols [23–28]. One of the advantages of OAM is the ability to access d-dimensional subspaces [29], for each of which we can ...
... entanglement of high-dimensional states provides implementations of QKD that are more tolerant to eavesdropping and can improve the bit rate in other quantum communication protocols [23–28]. One of the advantages of OAM is the ability to access d-dimensional subspaces [29], for each of which we can ...
... have many features in common [11, 17, 18]. It is also interesting to recall that the classical effects of the zero-point radiation were discovered very early by M. Planck in the period 1911–1912. The quantum zero-point radiation was discovered latter, in 1927, by Paul Dirac [12]. Some properties of ...
Many-body theory
... large number of particles. The reason is the equivalence of particles, a genuine quantum effect, which requires the (anti)symmetrization of the wave functions. The resulting wave functions are too complicated for any useful calculation. Another representation of the many particle system, based on th ...
... large number of particles. The reason is the equivalence of particles, a genuine quantum effect, which requires the (anti)symmetrization of the wave functions. The resulting wave functions are too complicated for any useful calculation. Another representation of the many particle system, based on th ...
Projective Measurements
... • Bhor’s answer: "Quit telling God what to do!" • Born’s answer: "If God has made the world a perfect mechanism, He has at least conceded so much to our imperfect intellect that in order to predict little parts of it, we need not solve innumerable differential equations, but can use dice with fair s ...
... • Bhor’s answer: "Quit telling God what to do!" • Born’s answer: "If God has made the world a perfect mechanism, He has at least conceded so much to our imperfect intellect that in order to predict little parts of it, we need not solve innumerable differential equations, but can use dice with fair s ...
United States Patent Application
... [0016] Dr. Kip Thorne, who co-authored the book Gravitation with Dr. Archibald Wheeler of Princeton University, has shown in a General Relativity spacetime curvature calculation that negative energy is required to open and stabilize the throat of a wormhole between space and hyperspace. The accumul ...
... [0016] Dr. Kip Thorne, who co-authored the book Gravitation with Dr. Archibald Wheeler of Princeton University, has shown in a General Relativity spacetime curvature calculation that negative energy is required to open and stabilize the throat of a wormhole between space and hyperspace. The accumul ...
Quantum weakest preconditions
... A second goal is to present a semantical paradigm for quantum computation. Quantum programming languages have started to appear. Perhaps the best known is one due to Selinger [Sel03] which is based on the slogan: “Quantum data and classical control.” While this is not the final word on the subject, ...
... A second goal is to present a semantical paradigm for quantum computation. Quantum programming languages have started to appear. Perhaps the best known is one due to Selinger [Sel03] which is based on the slogan: “Quantum data and classical control.” While this is not the final word on the subject, ...
Supersymmetric Quantum Mechanics
... obtain a unified description of all basic interactions of nature. However supersymmetry is in itself not observed, so in order for it to exist the symmetry need to be spontaneously broken. To study supersymmetry breaking in a simple setting, supersymmetric quantum mechanics was introduced.This lead ...
... obtain a unified description of all basic interactions of nature. However supersymmetry is in itself not observed, so in order for it to exist the symmetry need to be spontaneously broken. To study supersymmetry breaking in a simple setting, supersymmetric quantum mechanics was introduced.This lead ...
On the foundations of the theory of evolution
... but in a large part determined by natural law, e.g. Denton, Marshall and Legge (2002) argument extensively on the limited variability of protein folds. Lately, with the upcoming of new experimental techniques and disciplines as Evo-Devo, more and more similar critiques are given paying attention ma ...
... but in a large part determined by natural law, e.g. Denton, Marshall and Legge (2002) argument extensively on the limited variability of protein folds. Lately, with the upcoming of new experimental techniques and disciplines as Evo-Devo, more and more similar critiques are given paying attention ma ...
Shock waves, rarefaction waves and non
... In recent years there has been intense experimental and theoretical activity exploring the behavior of non-equilibrium quantum systems [1]. Stimulated by experiment on low-dimensional cold atomic gases [2], theoretical work has focused on the dynamics of integrable models and their novel thermalizat ...
... In recent years there has been intense experimental and theoretical activity exploring the behavior of non-equilibrium quantum systems [1]. Stimulated by experiment on low-dimensional cold atomic gases [2], theoretical work has focused on the dynamics of integrable models and their novel thermalizat ...
Deviations from exponential law and Van Hove`s “2t” limit
... are the natural cuto of the atomic form factor, expressed in terms of the Bohr radius a0 , and the coupling constant, respectively. Observe that there are no free parameters in (2.1) – (2.3). The above model was analyzed in a previous paper [39], where we mainly concentrated our attention on the de ...
... are the natural cuto of the atomic form factor, expressed in terms of the Bohr radius a0 , and the coupling constant, respectively. Observe that there are no free parameters in (2.1) – (2.3). The above model was analyzed in a previous paper [39], where we mainly concentrated our attention on the de ...
While the ramifications of quantum computers
... Gil Kalai writes, “The main concern regarding the feasibility of quantum computers has always been that quantum systems are inherently noisy: we cannot accurately control them, and we cannot accurately describe them…What is noise?... Noise refers to the general effect of neglecting degrees of freedo ...
... Gil Kalai writes, “The main concern regarding the feasibility of quantum computers has always been that quantum systems are inherently noisy: we cannot accurately control them, and we cannot accurately describe them…What is noise?... Noise refers to the general effect of neglecting degrees of freedo ...
The Fractional Quantum Hall Effect, Chern-Simons
... Uq(Lie G) denote the usual quantum deformation of the universal enveloping algebra of Lie G with deformation parameter q = exp ìITK [34]. We assume that the representations Ri, £ = 1 , . . . , m, have positive g-dimensions; see e.g. [21]. One may then define a certain quotient Tn of Vn of Uq (Lie G) ...
... Uq(Lie G) denote the usual quantum deformation of the universal enveloping algebra of Lie G with deformation parameter q = exp ìITK [34]. We assume that the representations Ri, £ = 1 , . . . , m, have positive g-dimensions; see e.g. [21]. One may then define a certain quotient Tn of Vn of Uq (Lie G) ...