Determinism, Chaos and Quantum Mechanics.
... say the amount of rainfall, the results of elections etc. in order to avoid that situation. But then, how can the mere existence of the function F be refuted? In fact, its existence is trivial- take any finite sequence of sets of numbers that never repeats itself. One can always find one- in fact man ...
... say the amount of rainfall, the results of elections etc. in order to avoid that situation. But then, how can the mere existence of the function F be refuted? In fact, its existence is trivial- take any finite sequence of sets of numbers that never repeats itself. One can always find one- in fact man ...
Slides
... Define LH : H = ΣiU|0⟩⟨0|iU+ H distinguishes Ψ from any orthogonal code-state but is 2d-local contradiction. no codestate can be locally generated Ω(log n) circuit lower-bound. ...
... Define LH : H = ΣiU|0⟩⟨0|iU+ H distinguishes Ψ from any orthogonal code-state but is 2d-local contradiction. no codestate can be locally generated Ω(log n) circuit lower-bound. ...
1203.3054v2
... starting from the 1-to-3 cloning, the NS principle leads to larger fidelity values than the quantum ones. The formalism allows us to find out all possible cloners for a given value of fidelity, including the quantum one, if such a cloner exists. Furthermore, we construct the prime cloners which have ...
... starting from the 1-to-3 cloning, the NS principle leads to larger fidelity values than the quantum ones. The formalism allows us to find out all possible cloners for a given value of fidelity, including the quantum one, if such a cloner exists. Furthermore, we construct the prime cloners which have ...
Molecular Quadratic Response Properties with Inclusion of Relativity Johan Henriksson
... This thesis is a compilation of work carried out in the Computational Physics group at the Department of Physics, Chemistry and Biology at Linköping University since May 2003. The first three chapters serve as introduction to the papers included thereafter. Chapter 1 puts the thesis into its contex ...
... This thesis is a compilation of work carried out in the Computational Physics group at the Department of Physics, Chemistry and Biology at Linköping University since May 2003. The first three chapters serve as introduction to the papers included thereafter. Chapter 1 puts the thesis into its contex ...
Introducing categories to the practicing physicist
... theory, braided categories, and sophisticated mathematical physics such as quantum groups and topological quantum field theory might lure you. Or, if you are also into pure mathematics, you might just appreciate category theory due to its incredible unifying power of mathematical structures and cons ...
... theory, braided categories, and sophisticated mathematical physics such as quantum groups and topological quantum field theory might lure you. Or, if you are also into pure mathematics, you might just appreciate category theory due to its incredible unifying power of mathematical structures and cons ...
Measuring Quantum Entanglement
... bringt sie uns kaum näher. Jedenfalls bin ich überzeugt, daß der Alte nicht würfelt.” 3 “Quantum mechanics is certainly impressive. But an inner voice tells me that it is not yet the real thing. The theory tells us a lot, but it does not bring us any closer to the secrets of the ancients. I, at any ...
... bringt sie uns kaum näher. Jedenfalls bin ich überzeugt, daß der Alte nicht würfelt.” 3 “Quantum mechanics is certainly impressive. But an inner voice tells me that it is not yet the real thing. The theory tells us a lot, but it does not bring us any closer to the secrets of the ancients. I, at any ...
Einstein in 1916:" On the Quantum Theory of Radiation"
... A peak in Einstein’s endeavor to extract as much information as possible about the nature of radiation from the Planck distribution is his paper “On the Quantum Theory of Radiation” of 1916 [1].1 In the first part he gives a derivation of Planck’s formula which has become part of many textbooks on q ...
... A peak in Einstein’s endeavor to extract as much information as possible about the nature of radiation from the Planck distribution is his paper “On the Quantum Theory of Radiation” of 1916 [1].1 In the first part he gives a derivation of Planck’s formula which has become part of many textbooks on q ...
A spectral theoretic approach to quantum
... independent, sufficiently smooth first integrals in involution. This concept is closely related to the complexity of its orbit structure, and in fact an integrable classical Hamiltonian cannot lead to chaotic dynamics. ...
... independent, sufficiently smooth first integrals in involution. This concept is closely related to the complexity of its orbit structure, and in fact an integrable classical Hamiltonian cannot lead to chaotic dynamics. ...
A Unique Quantum Random Number Generator using Bosonic
... problem. Because of bosonic stimulation, the output intensity will randomly favor vertical or horizontal polarization. Let IH (IV) denote the intensity of the outcoming light in the horizontal (vertical) polarization mode. The production of intensities can be approximated as a two stage process: 1. ...
... problem. Because of bosonic stimulation, the output intensity will randomly favor vertical or horizontal polarization. Let IH (IV) denote the intensity of the outcoming light in the horizontal (vertical) polarization mode. The production of intensities can be approximated as a two stage process: 1. ...
Feedback Control in Quantum Systems
... Communication The first use of quantum adaptive measurement was by Dolinar in 1973. He considered a binary communication channel in which: 1 = weak coherent laser pulse 0 = no pulse Measurement restriction: one can only count photons. In Quantum Optics 1 and 0 cannot be unambiguously distinguished ...
... Communication The first use of quantum adaptive measurement was by Dolinar in 1973. He considered a binary communication channel in which: 1 = weak coherent laser pulse 0 = no pulse Measurement restriction: one can only count photons. In Quantum Optics 1 and 0 cannot be unambiguously distinguished ...
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.