
Physics - Centre for Excellence in Basic Sciences
... 6. Darwin's Black Box: The Biochemical Challenge to Evolution, Michael J. Behe (Paperback Mar. 7, 2006). 7. Biology: A Self-Teaching Guide, 2nd Edition, Steven D. Garber (Paperback - Aug. 15, 2002). C101: Chemistry – 1 Structure and Properties of atoms – Revisited: (i) Atomic spectra, Bohr’s theory ...
... 6. Darwin's Black Box: The Biochemical Challenge to Evolution, Michael J. Behe (Paperback Mar. 7, 2006). 7. Biology: A Self-Teaching Guide, 2nd Edition, Steven D. Garber (Paperback - Aug. 15, 2002). C101: Chemistry – 1 Structure and Properties of atoms – Revisited: (i) Atomic spectra, Bohr’s theory ...
271, 31 (2000) .
... Optimal results for two-state deterministic clone have been obtained in Refs. w14,15,20x. In this Letter we consider deterministic clone for a set of n pure states c i :,i s 1,2, . . . ,n4 . When c i : are non-orthogonal, they cannot be cloned perfectly. What we require is that the final states sh ...
... Optimal results for two-state deterministic clone have been obtained in Refs. w14,15,20x. In this Letter we consider deterministic clone for a set of n pure states c i :,i s 1,2, . . . ,n4 . When c i : are non-orthogonal, they cannot be cloned perfectly. What we require is that the final states sh ...
QUANTUM ERROR CORRECTING CODES FROM THE
... analysis framework. We then utilize a new tool recently introduced in [15]---called the "higher-rank numerical range"--the study of which was primarily motivated by this problem. As an application, we solve the quantum error correction problem in its entirety for the class of "bi-unitary channels" o ...
... analysis framework. We then utilize a new tool recently introduced in [15]---called the "higher-rank numerical range"--the study of which was primarily motivated by this problem. As an application, we solve the quantum error correction problem in its entirety for the class of "bi-unitary channels" o ...
powerpoint
... part of the story how metaphysics and quantum physics are interrelated at a pre-physics or proto-physical level, using primarily information concepts. These complex topics are understandable once we explore that the mind and thoughts are really quantum information supported by high dimensional quant ...
... part of the story how metaphysics and quantum physics are interrelated at a pre-physics or proto-physical level, using primarily information concepts. These complex topics are understandable once we explore that the mind and thoughts are really quantum information supported by high dimensional quant ...
QUANTUM ERROR CORRECTING CODES FROM THE
... analysis framework. We then utilize a new tool recently introduced in [15]—called the “higher-rank numerical range”—the study of which was primarily motivated by this problem. As an application, we solve the quantum error correction problem in its entirety for the class of “bi-unitary channels” on t ...
... analysis framework. We then utilize a new tool recently introduced in [15]—called the “higher-rank numerical range”—the study of which was primarily motivated by this problem. As an application, we solve the quantum error correction problem in its entirety for the class of “bi-unitary channels” on t ...
Quantum Strategies V 82, N 5
... the optimal mixed strategy. By the analogy with algorithms, this is essentially the fundamental question of which problems can be solved more efficiently by quantum algorithms than by classical ones. We may hope that the game theoretic perspective will suggest new possibilities for efficient quantum ...
... the optimal mixed strategy. By the analogy with algorithms, this is essentially the fundamental question of which problems can be solved more efficiently by quantum algorithms than by classical ones. We may hope that the game theoretic perspective will suggest new possibilities for efficient quantum ...
Generating nonclassical quantum input field states with modulating
... be physically implementable by passing the input through a dynamical system, such as an electronic circuit, an obtaining Y as output. The resulting output will have a nonflat spectrum SY (ω) ≡ |H(ω)| , where H(ω) is the Fourier transform of the kernel h, see for instance []. However, the concept i ...
... be physically implementable by passing the input through a dynamical system, such as an electronic circuit, an obtaining Y as output. The resulting output will have a nonflat spectrum SY (ω) ≡ |H(ω)| , where H(ω) is the Fourier transform of the kernel h, see for instance []. However, the concept i ...
Lecture 4 Postulates of Quantum Mechanics, Operators
... which is static in the Schrödinger formulation. •In the Heisenberg formulation, the wavefunction is static (invariant in time) and the operator has a time dependence. •Unless otherwise stated, we will use the Schrödinger formulation Georgia Tech ...
... which is static in the Schrödinger formulation. •In the Heisenberg formulation, the wavefunction is static (invariant in time) and the operator has a time dependence. •Unless otherwise stated, we will use the Schrödinger formulation Georgia Tech ...
Statistics, Causality and Bell`s theorem
... physics as a mathematical-physical theory. Building from this, observed violation of Bell’s inequality in experiments such as that of Aspect and coworkers (1982) is popularly supposed to provide empirical proof of non-locality in the real world. This paper reviews recent work on Bell’s theorem, link ...
... physics as a mathematical-physical theory. Building from this, observed violation of Bell’s inequality in experiments such as that of Aspect and coworkers (1982) is popularly supposed to provide empirical proof of non-locality in the real world. This paper reviews recent work on Bell’s theorem, link ...
Path Integrals in Quantum Mechanics Dennis V. Perepelitsa
... eigenstates of the Hamiltonian play an important role, since their time-evolution is easy to calculate (i.e. they are stationary). A well-established method of solution, after the entire eigenspectrum of Ĥ is known, is to decompose the initial state into this eigenbasis, apply time evolution to eac ...
... eigenstates of the Hamiltonian play an important role, since their time-evolution is easy to calculate (i.e. they are stationary). A well-established method of solution, after the entire eigenspectrum of Ĥ is known, is to decompose the initial state into this eigenbasis, apply time evolution to eac ...
First-Person Plural Quantum Mechanics
... to the philosopher Harald Høffding [28], “that these difficulties are of such a nature that they hardly allow us to hope that we shall be able, within the world of the atom, to carry through a description in space and time that corresponds to our ordinary sensory perceptions.” I cannot but agree wit ...
... to the philosopher Harald Høffding [28], “that these difficulties are of such a nature that they hardly allow us to hope that we shall be able, within the world of the atom, to carry through a description in space and time that corresponds to our ordinary sensory perceptions.” I cannot but agree wit ...
Control of quantum systems using model
... of feedback control techniques, an open loop input for the actual physical quantum system Q.S. journal paper [29] where, however, only finite-dimensional systems are considered. Quantum mechanics associates to each physical system a complex Hilbert space H. To every (pure) state of the system there ...
... of feedback control techniques, an open loop input for the actual physical quantum system Q.S. journal paper [29] where, however, only finite-dimensional systems are considered. Quantum mechanics associates to each physical system a complex Hilbert space H. To every (pure) state of the system there ...
R Topological Phases in Correlated Materials
... as non-trivial edge/surface states and/or unusual elementary excitations in the bulk or surface. Notable examples include quantum spin liquids, topological insulators, and other closely related phases. One of the main challenges is to come up with theoretical criteria that can be used to identify or ...
... as non-trivial edge/surface states and/or unusual elementary excitations in the bulk or surface. Notable examples include quantum spin liquids, topological insulators, and other closely related phases. One of the main challenges is to come up with theoretical criteria that can be used to identify or ...
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.