
Quantum Computation - Bard College at Simon`s Rock
... my life and keeping me in touch with sanity. Without you guys, I would have fallen apart. I am forever indebted to my parents who have always stood by me with sound advice, encouragement, and moral support. Without them, I would never be where I am today. Most thanks, however, should go to Allen for ...
... my life and keeping me in touch with sanity. Without you guys, I would have fallen apart. I am forever indebted to my parents who have always stood by me with sound advice, encouragement, and moral support. Without them, I would never be where I am today. Most thanks, however, should go to Allen for ...
Fidelity as a figure of merit in quantum error correction
... hand, logical code words are allowed to interact with a reservoir system, such errors can approximately be corrected if criteria given in [10] are satisfied, reaching a fidelity of the same order (in the error rate) as the reversible case. Other codes take advantage of the fact that in addition to c ...
... hand, logical code words are allowed to interact with a reservoir system, such errors can approximately be corrected if criteria given in [10] are satisfied, reaching a fidelity of the same order (in the error rate) as the reversible case. Other codes take advantage of the fact that in addition to c ...
Quantum Computer Compilers - Computer Science, Columbia
... The Future of Quantum Hardware • The future does not necessarily belong to the ion trappers: for example, electron spins in quantum dots, superconducting qubits, ultracold neutral atoms are all making impressive progress. • But ion traps have a head start, and some serious effort has been devoted t ...
... The Future of Quantum Hardware • The future does not necessarily belong to the ion trappers: for example, electron spins in quantum dots, superconducting qubits, ultracold neutral atoms are all making impressive progress. • But ion traps have a head start, and some serious effort has been devoted t ...
Two-orbital SU(N) magnetism with ultracold alkaline-earth
... n (j) is +1 (−1) for a symmetric (antisymmetric) spin state, A = 2κge − κe − κg , B = 2λge − λe − λg and h = (κe − κg )/2 = (λg − λe )/2. The N = 2 Kugel–Khomskii Hamiltonian is used to model the spin–orbital interactions (not to be confused with relativistic spin–orbit coupling) in transition-metal ...
... n (j) is +1 (−1) for a symmetric (antisymmetric) spin state, A = 2κge − κe − κg , B = 2λge − λe − λg and h = (κe − κg )/2 = (λg − λe )/2. The N = 2 Kugel–Khomskii Hamiltonian is used to model the spin–orbital interactions (not to be confused with relativistic spin–orbit coupling) in transition-metal ...
SUPERCONDUCTING QUBITS II: DECOHERENCE F.K. Wilhelm , M.J. Storcz and U. Hartmann
... where h. . .iω means averaging and Fourier transforming. This quantity contains a sign of the quantum nature of noise. Unlike classical noise, it does not disappear at low temperatures T ≪ h̄ω/kB , but saturates to a finite value set by the zero-point fluctuations, whereas at high temperature we rec ...
... where h. . .iω means averaging and Fourier transforming. This quantity contains a sign of the quantum nature of noise. Unlike classical noise, it does not disappear at low temperatures T ≪ h̄ω/kB , but saturates to a finite value set by the zero-point fluctuations, whereas at high temperature we rec ...
manuscript - University of Hertfordshire
... Phase portraits characterize the time evolution of dynamical systems and are widely used in classical mechanics [1]. For the conservative motion of a single particle, moving in one dimension x under the influence of a static smooth potential VðxÞ only, the classical Liouville flow in phase space is ...
... Phase portraits characterize the time evolution of dynamical systems and are widely used in classical mechanics [1]. For the conservative motion of a single particle, moving in one dimension x under the influence of a static smooth potential VðxÞ only, the classical Liouville flow in phase space is ...
Title First Name Last
... Prior to this, my teaching of the Diplom Courses at the University of Kaiserslautern, Germany (1990-994) involved taking the Tutorials Classes for the Lecture Courses on Classical Mechanics, Quantum Mechanics-I, Quantum Mechanics-II, Electrodynamics-I, Electrodynamics-II, Mathematics for Beginners. ...
... Prior to this, my teaching of the Diplom Courses at the University of Kaiserslautern, Germany (1990-994) involved taking the Tutorials Classes for the Lecture Courses on Classical Mechanics, Quantum Mechanics-I, Quantum Mechanics-II, Electrodynamics-I, Electrodynamics-II, Mathematics for Beginners. ...
Dissipative tunneling - Physik Uni
... = %. Thus, there exists at all temperatures a fluctuation mode in function space with respect to which the bounce is a maximum of the action. Therefore, this characteristic fluctuation mode (q(z)=qb, for T > To; q(r)=qB(r), for T < To) has a negative eigenvalue. Below T = To, the action Se [q(z)= qb ...
... = %. Thus, there exists at all temperatures a fluctuation mode in function space with respect to which the bounce is a maximum of the action. Therefore, this characteristic fluctuation mode (q(z)=qb, for T > To; q(r)=qB(r), for T < To) has a negative eigenvalue. Below T = To, the action Se [q(z)= qb ...
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.