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Classical and quantum mechanics via Lie algebras
Classical and quantum mechanics via Lie algebras

TOPOLOGY WITHOUT TEARS
TOPOLOGY WITHOUT TEARS

... makes the study of topology relevant to all who aspire to be mathematicians whether their first love is (or will be) algebra, analysis, category theory, chaos, continuum mechanics, dynamics, geometry, industrial mathematics, mathematical biology, mathematical economics, mathematical finance, mathema ...
ON THE THEORY OF
ON THE THEORY OF

... which do not cut DC, how far soever they may be prolonged. In passing over from the cutting lines, as AF, to the not-cutting lines, as AG, we must come upon a line AH, parallel to DC, a boundary line, upon ...
history of quantum computing
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... Quantum theory has shown that measurements need also theoretical examination. Soon after the birth of quantum theory the deep nature of the theoretical issues related to measurements were generally recognized. It became clear that the concept of measurement is not at all innocuous, and an extensive ...
New perspectives for Rashba spin–orbit coupling
New perspectives for Rashba spin–orbit coupling

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Contributions to the Quantum Optics of Multi

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Quantum computing with photons: introduction to the circuit model
Quantum computing with photons: introduction to the circuit model

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conference on the foundations of quantum mechanics xavier

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INCT_IQ_ENG_1 - Instituto de Física / UFRJ
INCT_IQ_ENG_1 - Instituto de Física / UFRJ

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On quantum obfuscation - University of Maryland Institute for

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Schrödinger operators and their spectra

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A practical guide to density matrix embedding

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Abstract Experiments demonstrating entanglement swapping have
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Technical Roadmap for Fault-Tolerant Quantum Computing
Technical Roadmap for Fault-Tolerant Quantum Computing

... An alternative approach is the network architecture 15, where the quantum computer is formed from many small modules, each consists of only a (relatively) small number of qubits, according to what is permissible by the technology used. These modules need to be linked together to perform inter-module ...
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... In the folklore of R. Buckminster Fuller’s Synergetics, the great circle “railroad tracks” transit “energy” inwardly and outwardly through the center of a sphere or omni-directionally around the great circles or to other inter-connected systems. Fuller illustrated these ideas with models built by fo ...
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The effects of disorder in strongly interacting quantum systems
The effects of disorder in strongly interacting quantum systems

... of interacting particles collectively change their state of matter, e.g. from liquid to solid, liquid to gas, magnetic to non-magnetic or a vast number of other possibilities. Classical phase transitions occur at finite temperature, where the transformation between phases is driven by thermal fluctu ...
arXiv:math/0604265v2 [math.DG] 19 Jan 2014
arXiv:math/0604265v2 [math.DG] 19 Jan 2014

... of a classical relativistic system at a point p can then only depend on events in the causal pastof p, and the state at p in turn can only influence the physics in the causal future J + (p) of p. The distinction of curves by their causal character corresponds to different elements of physical realit ...
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Topological quantum field theory

A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.Although TQFTs were invented by physicists, they are also of mathematical interest, being related to, among other things, knot theory and the theory of four-manifolds in algebraic topology, and to the theory of moduli spaces in algebraic geometry. Donaldson, Jones, Witten, and Kontsevich have all won Fields Medals for work related to topological field theory.In condensed matter physics, topological quantum field theories are the low energy effective theories of topologically ordered states, such as fractional quantum Hall states, string-net condensed states, and other strongly correlated quantum liquid states.
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