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... FIG. 1: Illustration of the uncertainty game. (1) Bob sends a state to Alice, which may, in general, be entangled with his quantum memory. (2) Alice measures either R or S and notes her outcome. (3) Alice announces her measurement choice to Bob. Bob’s goal is then to minimize his uncertainty about A ...
... FIG. 1: Illustration of the uncertainty game. (1) Bob sends a state to Alice, which may, in general, be entangled with his quantum memory. (2) Alice measures either R or S and notes her outcome. (3) Alice announces her measurement choice to Bob. Bob’s goal is then to minimize his uncertainty about A ...
PHILOSOPHY OF QUANTUM INFORMATION
... out to be correlated (although this can be found out only later, when Alice and Bob are able to compare their results). The fact that the results are correlated is not a great surprise – after all, the particles came from a common source. What is astonishing, however, is that they are correlated in ...
... out to be correlated (although this can be found out only later, when Alice and Bob are able to compare their results). The fact that the results are correlated is not a great surprise – after all, the particles came from a common source. What is astonishing, however, is that they are correlated in ...
PHYS - Auburn University Bulletin
... PHYS 4100 FUNDAMENTALS OF QUANTUM MECHANICS (3) LEC. 3. Pr. PHYS 2200 and MATH 2650. Schrodinger equation, stationary and time-dependent solutions, spin and the exclusion principle, perturbation theory, scattering and resonances, the interpretation of quantum mechanics. PHYS 4200 FUNDAMENTAL EXPERIM ...
... PHYS 4100 FUNDAMENTALS OF QUANTUM MECHANICS (3) LEC. 3. Pr. PHYS 2200 and MATH 2650. Schrodinger equation, stationary and time-dependent solutions, spin and the exclusion principle, perturbation theory, scattering and resonances, the interpretation of quantum mechanics. PHYS 4200 FUNDAMENTAL EXPERIM ...
What is Quantum Thermodynamics?
... increase). The resulting positive nonlinear dynamical group (not just a semi-group) is well-defined for all nonequilibrium states, no matter how far from TE. Existence and uniqueness of solutions of the (Cauchy) initial state problem for all density operators, implies that the equation of motion can ...
... increase). The resulting positive nonlinear dynamical group (not just a semi-group) is well-defined for all nonequilibrium states, no matter how far from TE. Existence and uniqueness of solutions of the (Cauchy) initial state problem for all density operators, implies that the equation of motion can ...
Students` conceptions in quantum physics
... • the interviewer gives a picture (e.g. of an electron distribution) and the students discuss it • the interviewer asks narrow questions and the students start with following the question but afterwards develop some personal viewpoint or differentiation. Data in (1) were gathered during the teaching ...
... • the interviewer gives a picture (e.g. of an electron distribution) and the students discuss it • the interviewer asks narrow questions and the students start with following the question but afterwards develop some personal viewpoint or differentiation. Data in (1) were gathered during the teaching ...
Elementary Particle Mixing for Maximum Channel Capacity in Measured Decays
... In recent years the physics of the implied ensemble has been worked out by quantum information theorists. Channel capacity has been defined as a measure of the number of accessibly distinguishable classical states, and shown to be computable using the Holevo bound [3, 4]. In this paper, we adopt the ...
... In recent years the physics of the implied ensemble has been worked out by quantum information theorists. Channel capacity has been defined as a measure of the number of accessibly distinguishable classical states, and shown to be computable using the Holevo bound [3, 4]. In this paper, we adopt the ...
24 Interferometry with Macromolecules: Quantum Paradigms Tested
... objects, such as electrons [4], neutrons [5, 6] and atoms [7] or, more recently, with coherent ensembles of ultra-cold atoms [8]. Complementary to that, our studies investigate strongly bound hot particles which form a mesoscopic single quantum object. Our experiments are in a parameter regime unexp ...
... objects, such as electrons [4], neutrons [5, 6] and atoms [7] or, more recently, with coherent ensembles of ultra-cold atoms [8]. Complementary to that, our studies investigate strongly bound hot particles which form a mesoscopic single quantum object. Our experiments are in a parameter regime unexp ...
On the Explanation for Quantum Statistics
... on classical phase space is continuous, whilst on Hilbert space it is discrete. The relevance of names, or equivalently, properties stable in time that can be used as names, is also discussed. Keywords: classical indistinguishability, Gibbs paradox, quantum statistics Einstein’s contributions to qua ...
... on classical phase space is continuous, whilst on Hilbert space it is discrete. The relevance of names, or equivalently, properties stable in time that can be used as names, is also discussed. Keywords: classical indistinguishability, Gibbs paradox, quantum statistics Einstein’s contributions to qua ...
Acceleration radiation, transition probabilities and trans-Planckian physics
... same question arises in the derivation of the acceleration radiation. This is because, in any given inertial frame, the uniformly accelerated detector acquires an arbitrarily large velocity after sufficient proper time τ and, correspondingly, the thermal quanta it is observing at such times correspo ...
... same question arises in the derivation of the acceleration radiation. This is because, in any given inertial frame, the uniformly accelerated detector acquires an arbitrarily large velocity after sufficient proper time τ and, correspondingly, the thermal quanta it is observing at such times correspo ...
Chapter 5
... co-‐instructors (one of them the author, the other a PER faculty member associated with our prior investigations into quantum perspectives), along with two undergraduate learning assistants, [14] who ...
... co-‐instructors (one of them the author, the other a PER faculty member associated with our prior investigations into quantum perspectives), along with two undergraduate learning assistants, [14] who ...
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.