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Semi-local Quantum Liquids
Semi-local Quantum Liquids

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Subjective Bayesian probabilities

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Algebraic Bethe Ansatz for XYZ Gaudin model

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people.ysu.edu
people.ysu.edu

... you will always measure a discrete value that is an eigenvalue of the observable. You can have one Barium atom. Or one Yterbium atom. Your state can be an admixture of the two, but it is not real to find for a single measurement an atom that is some combination of the two. ...So if it was a mixed st ...
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... of quantum theory. It is rather striking that the difference between classical probability theory and quantum theory is just one word. A few comments on these axioms are appropriate here. We can think of any probability theory as a structure. This structure, however, has no physical meaning unless ...
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Poster PDF (4.8mb)

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A Review and Prospects of Quantum Teleportation

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... Generalizations.—To keep the presentation simple, the above exposition had been restricted to a onedimensional lattice and power law interactions ǫ(j) = j −α , but several generalizations are straightforward. In fact, only the large-j asymptotic behavior of ǫ(j) is relevant for the proof of Proposit ...
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Consciousness and Quantum Theory: Strange Bedfellows Barry Loewer

Collapse. What else?
Collapse. What else?

61, 062310 (2000)
61, 062310 (2000)

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Quantum group

In mathematics and theoretical physics, the term quantum group denotes various kinds of noncommutative algebra with additional structure. In general, a quantum group is some kind of Hopf algebra. There is no single, all-encompassing definition, but instead a family of broadly similar objects.The term ""quantum group"" first appeared in the theory of quantum integrable systems, which was then formalized by Vladimir Drinfeld and Michio Jimbo as a particular class of Hopf algebra. The same term is also used for other Hopf algebras that deform or are close to classical Lie groups or Lie algebras, such as a `bicrossproduct' class of quantum groups introduced by Shahn Majid a little after the work of Drinfeld and Jimbo.In Drinfeld's approach, quantum groups arise as Hopf algebras depending on an auxiliary parameter q or h, which become universal enveloping algebras of a certain Lie algebra, frequently semisimple or affine, when q = 1 or h = 0. Closely related are certain dual objects, also Hopf algebras and also called quantum groups, deforming the algebra of functions on the corresponding semisimple algebraic group or a compact Lie group.Just as groups often appear as symmetries, quantum groups act on many other mathematical objects and it has become fashionable to introduce the adjective quantum in such cases; for example there are quantum planes and quantum Grassmannians.
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