On the Topological Origin of Entanglement in Ising Spin Glasses
... neighbour spins on the dual lattice. Physically the operator C represents a tube of dual plaquettes whose axis lies on the primary lattice with fixed end-points. So far there is nothing quantum about the discussion of entanglement. Indeed, the Ising spins we have considered take values ±1, much like ...
... neighbour spins on the dual lattice. Physically the operator C represents a tube of dual plaquettes whose axis lies on the primary lattice with fixed end-points. So far there is nothing quantum about the discussion of entanglement. Indeed, the Ising spins we have considered take values ±1, much like ...
Gentzen-Like Methods in Quantum Logic*
... mathematical reasons, because it behaves more natural in certain respects than modular quantum logic. In this section, we will review the basic facts about minimal quantum logic. In particular, we will introduce the sequent calculus GMQL, due to Nishimura [17]. This system traces back to earlier acc ...
... mathematical reasons, because it behaves more natural in certain respects than modular quantum logic. In this section, we will review the basic facts about minimal quantum logic. In particular, we will introduce the sequent calculus GMQL, due to Nishimura [17]. This system traces back to earlier acc ...
On cosmology in the laboratory
... So far, experiments in three areas of physics have been performed to test the physics of the event horizon: in optics [13,15,19,20,23], fluid mechanics [14,17,18,22] and the physics of ultracold atoms [16,21]. None of these experiments has unambiguously shown Hawking radiation so far, but most of th ...
... So far, experiments in three areas of physics have been performed to test the physics of the event horizon: in optics [13,15,19,20,23], fluid mechanics [14,17,18,22] and the physics of ultracold atoms [16,21]. None of these experiments has unambiguously shown Hawking radiation so far, but most of th ...
High performance quantum computing
... ries information related to the quantum algorithm being run on the client side. As the photon stream transmitted to the client is the 3D topological lattice generated by the mainframe, interrogation of the quantum channel is unnecessary as the state transmitted is globally known. Additionally, the o ...
... ries information related to the quantum algorithm being run on the client side. As the photon stream transmitted to the client is the 3D topological lattice generated by the mainframe, interrogation of the quantum channel is unnecessary as the state transmitted is globally known. Additionally, the o ...
Frames in the bargmann space of entire functions
... lower bounds cannot be translated into estimates of type (18) for entire functions. It nevertheless seems reasonable to conjecture that also in the present setting (7) should hold, with m 0, for all ub < 2s. This would mean the existence of bounds of type (17) or (18) for all ab c 297 (rather than o ...
... lower bounds cannot be translated into estimates of type (18) for entire functions. It nevertheless seems reasonable to conjecture that also in the present setting (7) should hold, with m 0, for all ub < 2s. This would mean the existence of bounds of type (17) or (18) for all ab c 297 (rather than o ...
Collective potential for large-N Hamiltonian matrix models and free Fisher information
... matrix models in the context of static models, explaining some concepts from noncommutative probability theory that appear not to be widely known in the physics literature. Then we carry out this reformulation for the problem of matrix quantum mechanics (or field theory at D (dimension of space–time ...
... matrix models in the context of static models, explaining some concepts from noncommutative probability theory that appear not to be widely known in the physics literature. Then we carry out this reformulation for the problem of matrix quantum mechanics (or field theory at D (dimension of space–time ...
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.