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m NV Centers in Quantum Information Technology ! De-Coherence Protection &
m NV Centers in Quantum Information Technology ! De-Coherence Protection &

Product Operator - Vanderbilt Center for Structural Biology
Product Operator - Vanderbilt Center for Structural Biology

... where N = total number of I = l/2 nuclei in the spin system, k = index of nucleus, v = x, y or z,*q= number of single-spin operators in the product, ask = 1 for q nuclei and asl, = 0 for the N-q remaining nuclei. Product operators for spin l/2 nuclei are orthogonal with respect to formation of the t ...
The Quantum Hall Effect: Novel Excitations and Broken Symmetries
The Quantum Hall Effect: Novel Excitations and Broken Symmetries

... In the so-called integer quantum Hall effect (IQHE) discovered by von Klitzing in 1980, the quantum number ν is a simple integer with a precision of about 10−10 and an absolute accuracy of about 10−8 (both being limited by our ability to do resistance metrology). In 1982, Tsui, Störmer and Gossard ...
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String theory as a Lilliputian world

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Studies of Infinite Two-Dimensional Quantum Lattice

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Statistical Mechanics to Disordered Quantum Optimization

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Quantum Error Correction

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Information theoretic treatment of tripartite systems and quantum

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Feebly compact paratopological groups and real

... [2], Arhangel’skii and Reznichenko extended this result to regular pseudocompact paratopological groups. Since the term ‘pseudocompact’ is usually reserved for Tychonoff spaces, we will replace it with ‘feebly compact’ when referring to regular or Hausdorff spaces. Thus, a space is called feebly com ...
litera_1
litera_1

... regard to the second part of Lamarck’s evolutionary theory, adaptation to the environment, these “felt needs” detected by Lamarck can be representative of augmented sexually reproductive success coupled with the morphic fields, established as a result of natural selection selecting only the fittest ...
Classical phase-space analysis of vibronically coupled systems
Classical phase-space analysis of vibronically coupled systems

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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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