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Lecture 4: Some Properties of Qubits Introduction A Brief Recap
Lecture 4: Some Properties of Qubits Introduction A Brief Recap

... • Although we can’t measure the coefficients, we can manipulate them (this is what our unitary evolution operators do) • This is what gives quantum computers great power ...
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... Toms [32] considered the BEC of atomic gases in a three-dimensional general anisotropic harmonic confining potential in details. They discussed the differences of a confined system from an identical unconfined one. Ketterle and Druten [33] consider the impact of a finite number of particles on BEC, ...
Quantum Lambda Calculus - Department of Mathematics and
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... kinds of data: classical data, which can be read, written, duplicated, and discarded as usual, and quantum data, which has state preparation, unitary maps, and measurements as primitive operations. The higherorder computational paradigm introduces a third kind of data, namely functions, and one may ...
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The Symplectization of Science - Pacific Institute for the
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... Especially interesting are two features of these ’non-Euclidean’ or “Riemannian” geometries: The first is that the geometry can vary considerably from point to point in the space. So triangles at one location might have angles which sum to 200◦ , while another triangle elsewhere might have angles sum ...
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... other compatible observables are measured simultaneously [1–3]. This property is called contextuality and is in contrast to classical physics, where the answer to a single question does not depend on which other compatible questions are asked at the same time. Contextuality can be seen as complement ...
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... validate entanglement. Entanglement can be verified in a variety of ways; one of the strictest criteria is a negative-valued Wigner function16,17, which necessarily implies that the entangled state has a non-Gaussian wavefunction. To date, the metrologically useful spin-squeezed states1–10 have been ...
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... queerness itself in their radically deconstructive ways of being.14 Indeed, given that queer is a radical questioning of identity and binaries, including the nature/culture binary, this article aims to show that all sorts of seeming impossibilities are indeed possible, including the queerness of cau ...
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... The part of this thesis devoted to antiprotonic atoms does not, however, focus on high precision measurements in exotic atoms, but rather on the preceding step, namely the mechanisms by which exotic atoms are formed. The ’standard’ mechanism for the formation of antiprotonic atoms is the replacemen ...
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... other physical entities. This conceptual viewpoint is fully represented by the way matter and geometry play together in general relativity. The full consequences of this in quantum physics are yet to be unveiledb . When we analyze a physical situation in pre-general-relativistic physics we separate ...
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... L being the circumference of the ring and m the electron mass. Quantum mechanically, if the electron was initially in the ground state it stays in an eigenstate, due to adiabaticity. It does not necessarily stay in the ground state, however. As the flux is being turned on, there are points of time in ...
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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.
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