Measurement-based and Universal Blind Quantum Computation
... (i.e. a projection operator). The axioms of quantum mechanics are easily stated in the language of density matrices. For example, if evolution from time t1 to time t2 is described by the unitary transformation U and ρ is the density matrix for time t1 , then the evolved density matrix ρ0 for time t2 ...
... (i.e. a projection operator). The axioms of quantum mechanics are easily stated in the language of density matrices. For example, if evolution from time t1 to time t2 is described by the unitary transformation U and ρ is the density matrix for time t1 , then the evolved density matrix ρ0 for time t2 ...
On Fractional Schrödinger Equation and Its Application
... fractional Quantum Mechanics was first introduced by Laskin [1]. The path integrals over the Lévy paths are defined and fractional quantum and statistical mechanics have been developed via new fractional path integrals approach. A fractional generalization of the Schrödinger equation, new relation b ...
... fractional Quantum Mechanics was first introduced by Laskin [1]. The path integrals over the Lévy paths are defined and fractional quantum and statistical mechanics have been developed via new fractional path integrals approach. A fractional generalization of the Schrödinger equation, new relation b ...
Generation of Clebsch–Gordan coefficients for the point and double
... In recent years, a large number of studies have been carried out to understand the spectra of atoms which are placed in a potential of lower than spherical symmetry [1–3]. Such a potential occurs for instance for atoms in a crystal field. In order to explore the structure of atoms, incorporated into ...
... In recent years, a large number of studies have been carried out to understand the spectra of atoms which are placed in a potential of lower than spherical symmetry [1–3]. Such a potential occurs for instance for atoms in a crystal field. In order to explore the structure of atoms, incorporated into ...
Chapter 3 Foundations II: Measurement and Evolution 3.1
... that can be realized on system A by performing orthogonal measurements on a larger system that contains A. But first we will briefly consider how (orthogonal) measurements of an arbitrary observable can be achieved in principle, following the classic treatment of Von Neumann. To measure an observabl ...
... that can be realized on system A by performing orthogonal measurements on a larger system that contains A. But first we will briefly consider how (orthogonal) measurements of an arbitrary observable can be achieved in principle, following the classic treatment of Von Neumann. To measure an observabl ...
Including quantum effects in the dynamics of complex „i.e., large
... situations, however, for which quantum effects will be significant even in these complex systems. For example, consider the water molecule, which is ubiquitous in biosimulations: the zero-point energy in its two OH stretching vibrations and its bending vibration is more than 20 times kBT 共at 300 K兲. ...
... situations, however, for which quantum effects will be significant even in these complex systems. For example, consider the water molecule, which is ubiquitous in biosimulations: the zero-point energy in its two OH stretching vibrations and its bending vibration is more than 20 times kBT 共at 300 K兲. ...
Linear Logic for Generalized Quantum Mechanics
... it is constituted as a partial order rather than a group. Furthermore the complementary parameters of time and information behave more symmetrically for linear automata than do the corresponding complementary physical parameters of time and energy for the Schrödinger wave equation. In the latter, a ...
... it is constituted as a partial order rather than a group. Furthermore the complementary parameters of time and information behave more symmetrically for linear automata than do the corresponding complementary physical parameters of time and energy for the Schrödinger wave equation. In the latter, a ...
Chapter 1
... Charles Babbage when they speculated about the power of computers based on mechanical switches and Boolean algebra in year 1850 – the theory exists and the experimental base exists, so that such computers can be built in principle. But more theory is needed to build practical circuits and more theor ...
... Charles Babbage when they speculated about the power of computers based on mechanical switches and Boolean algebra in year 1850 – the theory exists and the experimental base exists, so that such computers can be built in principle. But more theory is needed to build practical circuits and more theor ...
Towards a Tight Finite Key Analysis for BB84
... one property can be measured, the less precisely the other can be measured. Think of it as a gedankenexperiment. No quantum states will be harmed (i.e. measured, forced to collapse) during this talk! ...
... one property can be measured, the less precisely the other can be measured. Think of it as a gedankenexperiment. No quantum states will be harmed (i.e. measured, forced to collapse) during this talk! ...
Models of wave-function collapse
... the other hand, the Hamilton-Jacobi equation (1) is nonlinear: if S1 is a solution corresponding to one space-time trajectory, and S2 is a solution corresponding to another space-time trajectory, then clearly a1 S1 + a2 S2 is not a solution of this equation. In particular, if ψ1 is a wave packet whi ...
... the other hand, the Hamilton-Jacobi equation (1) is nonlinear: if S1 is a solution corresponding to one space-time trajectory, and S2 is a solution corresponding to another space-time trajectory, then clearly a1 S1 + a2 S2 is not a solution of this equation. In particular, if ψ1 is a wave packet whi ...
Paper
... insight review articles blocking of collisions among fermions, by suppression of collisions as a result of superfluidity when the refrigerant is a BEC29, or simply by heating30. Experimental efforts have just started to investigate ...
... insight review articles blocking of collisions among fermions, by suppression of collisions as a result of superfluidity when the refrigerant is a BEC29, or simply by heating30. Experimental efforts have just started to investigate ...
1 Transport of Dirac Surface States
... the electrons lies in the anisotropy of scattering, even in the presence of ”isotropic impurities”. Naturally this property requires the use of a transport time, different from the elastic scattering time, to define the diffusion constant. For small samples in which transport can remain phase cohere ...
... the electrons lies in the anisotropy of scattering, even in the presence of ”isotropic impurities”. Naturally this property requires the use of a transport time, different from the elastic scattering time, to define the diffusion constant. For small samples in which transport can remain phase cohere ...
Max Born
Max Born (German: [bɔɐ̯n]; 11 December 1882 – 5 January 1970) was a German physicist and mathematician who was instrumental in the development of quantum mechanics. He also made contributions to solid-state physics and optics and supervised the work of a number of notable physicists in the 1920s and 30s. Born won the 1954 Nobel Prize in Physics for his ""fundamental research in Quantum Mechanics, especially in the statistical interpretation of the wave function"".Born was born in 1882 in Breslau, then in Germany, now in Poland and known as Wrocław. He entered the University of Göttingen in 1904, where he found the three renowned mathematicians, Felix Klein, David Hilbert and Hermann Minkowski. He wrote his Ph.D. thesis on the subject of ""Stability of Elastica in a Plane and Space"", winning the University's Philosophy Faculty Prize. In 1905, he began researching special relativity with Minkowski, and subsequently wrote his habilitation thesis on the Thomson model of the atom. A chance meeting with Fritz Haber in Berlin in 1918 led to discussion of the manner in which an ionic compound is formed when a metal reacts with a halogen, which is today known as the Born–Haber cycle.In the First World War after originally being placed as a radio operator, due to his specialist knowledge he was moved to research duties regarding sound ranging. In 1921, Born returned to Göttingen, arranging another chair for his long-time friend and colleague James Franck. Under Born, Göttingen became one of the world's foremost centres for physics. In 1925, Born and Werner Heisenberg formulated the matrix mechanics representation of quantum mechanics. The following year, he formulated the now-standard interpretation of the probability density function for ψ*ψ in the Schrödinger equation, for which he was awarded the Nobel Prize in 1954. His influence extended far beyond his own research. Max Delbrück, Siegfried Flügge, Friedrich Hund, Pascual Jordan, Maria Goeppert-Mayer, Lothar Wolfgang Nordheim, Robert Oppenheimer, and Victor Weisskopf all received their Ph.D. degrees under Born at Göttingen, and his assistants included Enrico Fermi, Werner Heisenberg, Gerhard Herzberg, Friedrich Hund, Pascual Jordan, Wolfgang Pauli, Léon Rosenfeld, Edward Teller, and Eugene Wigner.In January 1933, the Nazi Party came to power in Germany, and Born, who was Jewish, was suspended. He emigrated to Britain, where he took a job at St John's College, Cambridge, and wrote a popular science book, The Restless Universe, as well as Atomic Physics, which soon became a standard text book. In October 1936, he became the Tait Professor of Natural Philosophy at the University of Edinburgh, where, working with German-born assistants E. Walter Kellermann and Klaus Fuchs, he continued his research into physics. Max Born became a naturalised British subject on 31 August 1939, one day before World War II broke out in Europe. He remained at Edinburgh until 1952. He retired to Bad Pyrmont, in West Germany. He died in hospital in Göttingen on 5 January 1970.