Centre for Logic and Philosophy of Science
... numbers, the former standing for classical numbers, the latter for quantum, or queer, numbers. But then what does correspond in quantum mechanics to classical quantities like position? That is, how are the q–numbers associated with physical quantities, apart from giving right predictions about emitt ...
... numbers, the former standing for classical numbers, the latter for quantum, or queer, numbers. But then what does correspond in quantum mechanics to classical quantities like position? That is, how are the q–numbers associated with physical quantities, apart from giving right predictions about emitt ...
quantum computer graphics algorithms
... According to the principles of quantum physics the computing power of a quantum machine is immense compared to the one of a classic computer due to three remarkable quantum resources. Quantum parallelism harnesses the superposition principle and the linearity of quantum mechanics in order to compute ...
... According to the principles of quantum physics the computing power of a quantum machine is immense compared to the one of a classic computer due to three remarkable quantum resources. Quantum parallelism harnesses the superposition principle and the linearity of quantum mechanics in order to compute ...
Are there basic laws of quantum information processing?
... of entanglement (in a bit weaker formulation than usual ones) are equivalent. We start with the following formulations 1. No-cloning theorem: There does not exist a quantum operation which clones every input pure state 3 . 2. No-creating 4 of entanglement principle: There does not exist an LCC opera ...
... of entanglement (in a bit weaker formulation than usual ones) are equivalent. We start with the following formulations 1. No-cloning theorem: There does not exist a quantum operation which clones every input pure state 3 . 2. No-creating 4 of entanglement principle: There does not exist an LCC opera ...
REFLECTION OF ELECTROMAGNETIC WAVES IN GYROTROPIC
... a moving plasma and from an ionization wave produced in a stationary plasma. The calculations are made in the geometric optics approximation, and a more exact solution is found near the point at which this approximation becomes invalid. It is shown that in all cases considered the frequency increase ...
... a moving plasma and from an ionization wave produced in a stationary plasma. The calculations are made in the geometric optics approximation, and a more exact solution is found near the point at which this approximation becomes invalid. It is shown that in all cases considered the frequency increase ...
Synchronistic Phenomena as Entanglement
... a message of vital relevance for the persons involved and that they usually occur in situations of high emotional tension and receptivity for the meaning of such messages. In view of the above mentioned failure of reliable production and reproduction of paranormal phenomena, rather than doggedly ins ...
... a message of vital relevance for the persons involved and that they usually occur in situations of high emotional tension and receptivity for the meaning of such messages. In view of the above mentioned failure of reliable production and reproduction of paranormal phenomena, rather than doggedly ins ...
Half-integral weight Eichler integrals and quantum modular forms
... KATHRIN BRINGMANN AND LARRY ROLEN To Winnie Li, who has been a great inspiration, on the occasion of her birthday Abstract. In analogy with the classical theory of Eichler integrals for integral weight modular forms, Lawrence and Zagier considered examples of Eichler integrals of certain half-integr ...
... KATHRIN BRINGMANN AND LARRY ROLEN To Winnie Li, who has been a great inspiration, on the occasion of her birthday Abstract. In analogy with the classical theory of Eichler integrals for integral weight modular forms, Lawrence and Zagier considered examples of Eichler integrals of certain half-integr ...
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... beam is not related to Heisenberg's position±momentum uncertainty relation. Instead, the correlations between the which-way detector and the atomic beams are responsible for the loss of interference fringes. Such correlations had already been studied experimentally. They are, for example, responsibl ...
... beam is not related to Heisenberg's position±momentum uncertainty relation. Instead, the correlations between the which-way detector and the atomic beams are responsible for the loss of interference fringes. Such correlations had already been studied experimentally. They are, for example, responsibl ...
quantum teleportation
... Quantum teleportation can be considered as one of the most imaginative ways of transportation. The idea that quantum teleportation, sending information of an object, without sending the object itself (with a speed larger than light), might be applicable to human beings can clearly be considered as t ...
... Quantum teleportation can be considered as one of the most imaginative ways of transportation. The idea that quantum teleportation, sending information of an object, without sending the object itself (with a speed larger than light), might be applicable to human beings can clearly be considered as t ...
Dyson equation for diffractive scattering
... resulting in a sum over 共up to兲 infinitely long pseudo paths with 共up to兲 an infinite number of diffractive scatterings. Note that the number of classical paths between two diffractive “kinks” and their lengths may reach infinity as well. The handling of this double limit plays an important role in ...
... resulting in a sum over 共up to兲 infinitely long pseudo paths with 共up to兲 an infinite number of diffractive scatterings. Note that the number of classical paths between two diffractive “kinks” and their lengths may reach infinity as well. The handling of this double limit plays an important role in ...
Quantum neural networks
... general case, the coefficients ci may be complex. Use is made here of the Dirac bracket notation, where the ket ⋅ is analogous to a column vector, and the bra ⋅ is analogous to the complex conjugate transpose of the ket. In quantum ...
... general case, the coefficients ci may be complex. Use is made here of the Dirac bracket notation, where the ket ⋅ is analogous to a column vector, and the bra ⋅ is analogous to the complex conjugate transpose of the ket. In quantum ...
Microscopic theory for quantum mirages in quantum corrals D. Porras, J. Ferna´ndez-Rossier,
... of a single magnetic impurity embedded in the twodimensional electron gas formed on a metallic surface.4,5 This is the famous Kondo problem. Below the Kondo temperature T K a many electron singlet state forms so that the spin of the magnetic impurity is screened by the conduction electrons. As a con ...
... of a single magnetic impurity embedded in the twodimensional electron gas formed on a metallic surface.4,5 This is the famous Kondo problem. Below the Kondo temperature T K a many electron singlet state forms so that the spin of the magnetic impurity is screened by the conduction electrons. As a con ...
Minimally Entangled Typical Quantum States at Finite Temperature
... finite temperature? The fundamental proposition of statistical mechanics is that the density matrix of a system at inverse temperature with Hamiltonian H is ¼ expðHÞ. One can regard ¼ expðHÞ as arising from several different physical situations: from an ensemble average of pure states, fro ...
... finite temperature? The fundamental proposition of statistical mechanics is that the density matrix of a system at inverse temperature with Hamiltonian H is ¼ expðHÞ. One can regard ¼ expðHÞ as arising from several different physical situations: from an ensemble average of pure states, fro ...
Random Repeated Interaction Quantum Systems
... theory that allows us to treat repeated interaction processes with time-dependent (piecewise constant) interactions, and in particular, with random interactions. We are not aware of any theoretical work dealing with variable or random interactions, other than [8]. Moreover, to our knowledge, this is ...
... theory that allows us to treat repeated interaction processes with time-dependent (piecewise constant) interactions, and in particular, with random interactions. We are not aware of any theoretical work dealing with variable or random interactions, other than [8]. Moreover, to our knowledge, this is ...
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.