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The Many Avatars of a Simple Algebra S. C. Coutinho The American
The Many Avatars of a Simple Algebra S. C. Coutinho The American

Comment on Griffiths about locality, realism and Bell experiments
Comment on Griffiths about locality, realism and Bell experiments

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An Analysis of the Quantum Penny Flip Game using Geometric

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S. Mayboroda:

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Workshop on Geometry and Physics 2017 Feb 25

Quantum parallelism
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RPA - Department of Theoretical Physics UMCS

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The two-state vector description of a quantum system

... A world consist of: •"classical" macroscopic objects rapidly measured by the environment, • quantum objects measured only occasionally (at world splitting events) which described by the two-state vectors, • weakly coupled quantum objects ...
1 Introduction and Disclaimer
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... that Q is determined by its coproduct. We can split Q into a classical cup product and a purely quantum part. The coproduct of the classical part may be computed by comparing our description of R(u)Z with the formula for the classical r-matrix: X ...
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Quantum Information Technology
Quantum Information Technology

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Quantum Computing

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File - sitdownandlogon

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Quantum Computers

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Quantum Optical Engineering
Quantum Optical Engineering

... new, but the situation is not unprecedented. In the closing decades of the Nineteenth Century Maxwell had just proposed his equations which tied together electricity, magnetism, and light into one unified theory which predicted waves propagating in a vacuum. This was considered weird. There cannot b ...
Topological Quantum Computation from non-abelian anyons
Topological Quantum Computation from non-abelian anyons

TT 35: Low-Dimensional Systems: 2D - Theory - DPG
TT 35: Low-Dimensional Systems: 2D - Theory - DPG

Quantum Mechanics OK
Quantum Mechanics OK

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Quantum
Quantum

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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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