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Quantum vs. Classical Magnetization Plateaus of S=1/2 Frustrated
Quantum vs. Classical Magnetization Plateaus of S=1/2 Frustrated

Spin-current and other unusual phases in magnetized triangular lattice antiferromagnets
Spin-current and other unusual phases in magnetized triangular lattice antiferromagnets

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An information-theoretic perspective on the foundations of

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course syllabus

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Lecture 4: Some Properties of Qubits Introduction A Brief Recap

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Toward Practical Solid-State Based Quantum Memories

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PhysRevB.89.020408 - FU Berlin

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Singularity of the time-energy uncertainty in adiabatic perturbation

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Quantum Hall Effects and Related Topics International Symposium

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Introduction to Quantum Information Science

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A Quantum-mechanical Model of Histone Modification in Gene

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Balanced homodyne detection with high common mode rejection

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Introduction to Quantum Entanglement

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Conformal field theory out of equilibrium: a review

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The uncertainty relations in quantum mechanics

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Towards ~ Lorentz Invariant Quantum Theory of Measurement

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Linear Optical Quantum Computing in a Single Spatial Mode

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algunos resultados asociados a problemas

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majorization and quantum entanglement

pdf file - Gandalf Lechner
pdf file - Gandalf Lechner

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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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