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Intensified antibunching via feedback
Intensified antibunching via feedback

SECOND DRAFT FOR
SECOND DRAFT FOR

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Document

... The typical classical single-bit error is the bit-flip: 0 ↔ 1. If we assume a simple error model (the binary symmetric channel) in which bit flips errors occur on each bit independently with probablility p per unit time, we expect a bit to be corrupted after O(1/p) steps. (In general, we assume p ≪ ...
Interaction- and measurement-free quantum Zeno gates for universal computation
Interaction- and measurement-free quantum Zeno gates for universal computation

... which approaches unity as ⌫t is increased with ⍀t held fixed, in which limit the system is again frozen in the initial state. The discrete and continuous systems can be mapped onto one another if we equate ␪ ↔ ⍀t / 2 and M ↔ M eff = ⌫t / 4 = ␪⌫ / 2⍀. The equivalence between the two systems can be un ...
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Quantum Theories of Mind

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Symmetric matrices - Harvard Math Department

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Get PDF - OSA Publishing

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Influence of Complex Exciton-Phonon Coupling on Optical

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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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