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Analysis of Strained Al0.15In0.22Ga0.63As/GaAs Graded Index
Analysis of Strained Al0.15In0.22Ga0.63As/GaAs Graded Index

Czech Technical University in Prague Faculty of Electrical
Czech Technical University in Prague Faculty of Electrical

... digital and real analog computing. Importantly, there is a threshold theorem for error correction, as opposed to the pure analog case. Alternatively, quantum computing can be viewed as generalized probabilistic computing, where non-negative real probabilities are replaced with complex amplitudes. Th ...
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... To demonstrate reversibility of entanglement manipulation under the class just introduced we define two quantities and prove that they are the same. The entanglement cost under asymptotically nonentangling maps EC (ρ) is defined as the infimum of limn→∞ knn over all the sequences of quantum maps {Ψn ...
Mechanical Proof of the Second Law of Thermodynamics Based on
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... two-level atoms does indeed behave like a single two-level system. This property has been used to realize quantum memory elements using such an ensemble [12,13]. However, any protocol that aims to create a two qubit logic gate (such as a CNOT gate) between two ensembles, necessary for realizing a qu ...
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Bound states in inhomogeneous magnetic field in graphene

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On the speed of fluctuations around

Types for Quantum Computing
Types for Quantum Computing

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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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