
Real, Complex, and Binary Semantic Vectors
... algebraic structure such as a group or lattice: such a hardened theory may arise from this work in the future, but it is not yet here. There are many key discussion points that make these vector systems functionally appealing. In high dimensions, they are easy to build. Randomly allocated elemental ...
... algebraic structure such as a group or lattice: such a hardened theory may arise from this work in the future, but it is not yet here. There are many key discussion points that make these vector systems functionally appealing. In high dimensions, they are easy to build. Randomly allocated elemental ...
Dynamical Aspects of Information Storage in Quantum
... In this respect, the assumption of finite precision of all physically realizable state preparation, manipulation, and registration procedures is particularly important, and can even be treated as an empirical given. This premise is general enough to subsume (a) fundamental limitations imposed by the ...
... In this respect, the assumption of finite precision of all physically realizable state preparation, manipulation, and registration procedures is particularly important, and can even be treated as an empirical given. This premise is general enough to subsume (a) fundamental limitations imposed by the ...
How to Construct Quantum Random Functions
... superposition of the corresponding outputs in return. We call pseudorandom functions that are secure against quantum queries Quantum Pseudorandom Functions, or QPRFs. Constructing secure QPRFs will be the focus of this paper. Quantum-secure pseudorandom functions (QPRFs) have several applications. W ...
... superposition of the corresponding outputs in return. We call pseudorandom functions that are secure against quantum queries Quantum Pseudorandom Functions, or QPRFs. Constructing secure QPRFs will be the focus of this paper. Quantum-secure pseudorandom functions (QPRFs) have several applications. W ...
Quantum Computation: Theory and Implementation
... Quantum Computation: Theory and Implementation by Edward Stuart Boyden III Submitted to the Department of Physics in Partial Fulfillment of the Requirements for the Degree of Bachelor of Science in Physics and to the Department of Electrical Engineering and Computer Science in Partial Fulfillment of ...
... Quantum Computation: Theory and Implementation by Edward Stuart Boyden III Submitted to the Department of Physics in Partial Fulfillment of the Requirements for the Degree of Bachelor of Science in Physics and to the Department of Electrical Engineering and Computer Science in Partial Fulfillment of ...
Wigner function formalism in Quantum mechanics
... space. Thus if the motion of the phase space distrubition is known for the classical analogue to the quantum problem, all one has to do is to require that every point of the Wigner function move accordingly to this. This of course is only in the limit where derivatives of higher order than second of ...
... space. Thus if the motion of the phase space distrubition is known for the classical analogue to the quantum problem, all one has to do is to require that every point of the Wigner function move accordingly to this. This of course is only in the limit where derivatives of higher order than second of ...
1 - Philsci
... Obviously the above equivalence makes sense only under certain conditions – one of them being that p describes an event (typically: an action taken by the experimenter) localized somewhere4. However, more problematic is the fact that the meaningfulness of (3) also presupposes that there is a world w ...
... Obviously the above equivalence makes sense only under certain conditions – one of them being that p describes an event (typically: an action taken by the experimenter) localized somewhere4. However, more problematic is the fact that the meaningfulness of (3) also presupposes that there is a world w ...
How “Quantum” is the D-Wave Machine?
... in the introduction, this schedule is different from the one reported in [7], which was based on an error by D-Wave [24], although this did not change their conclusions. Our paper is based entirely on the new corrected schedule [8]. We note that our conclusions also hold equally well for both schedu ...
... in the introduction, this schedule is different from the one reported in [7], which was based on an error by D-Wave [24], although this did not change their conclusions. Our paper is based entirely on the new corrected schedule [8]. We note that our conclusions also hold equally well for both schedu ...
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.