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Quantum Mechanical Model
Quantum Mechanical Model

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Main

A Quantum Information Processing Explanation of Disjunction Effects
A Quantum Information Processing Explanation of Disjunction Effects

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More period finding with adiabatic quantum computation
More period finding with adiabatic quantum computation

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Quantum Teleportation

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( ) α - Illinois State Chemistry

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Asymptotics and 6j-symbols 1 Introduction

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Density operators and quantum operations

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PX408: Relativistic Quantum Mechanics

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Feedback Control in Quantum Systems

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... Ordinary bits in classical computers are in a state of 1 or 0, but quantum bits can be 1, 0 or both 1 and 0. This indefinite state is called superposition, and it is achieved in D-Wave’s quantum processor for very brief periods of time only by isolating the chip from all outside interference. Decohe ...
Transport Electron through a Quantum Wire by Side-Attached Asymmetric Quantum-Dot Chains
Transport Electron through a Quantum Wire by Side-Attached Asymmetric Quantum-Dot Chains

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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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