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Fibonacci Quanta - University of Illinois at Chicago
Fibonacci Quanta - University of Illinois at Chicago

Notes for Lecture 2 Miller Indices, Quantum Mechanics
Notes for Lecture 2 Miller Indices, Quantum Mechanics

with x
with x

Last section - end of Lecture 4
Last section - end of Lecture 4

Chapter 6 | Thermochemistry
Chapter 6 | Thermochemistry

CDMTCS Research Report Series
CDMTCS Research Report Series

One-way quantum computing with arbitrarily large time
One-way quantum computing with arbitrarily large time

Can one distinguish quantum trees from the boundary?
Can one distinguish quantum trees from the boundary?

Semiclassical approximation of excitations in spin-1 Heisenberg antiferromagnets
Semiclassical approximation of excitations in spin-1 Heisenberg antiferromagnets

Repeated Quantum Nondemolition Measurements of Continuous
Repeated Quantum Nondemolition Measurements of Continuous

Superluminal Quantum Models of the Photon and Electron
Superluminal Quantum Models of the Photon and Electron

... • The FTL quantum models of the electron and the photon contain quantitative experimental and theoretical properties of the electron and the photon based on transluminal quantum trajectories. • While the transluminal quantum is point-like, the continuous internal structure of photon and electron mod ...
Quantum-Secure Coin-Flipping and Applications
Quantum-Secure Coin-Flipping and Applications

... security against a dishonest Bob, a polynomial-size (quantum) input sampler is considered, which produces the input state of the parties. Definition 2.1 (Correctness). A protocol Π correctly implements an ideal classical functionality F, if for every distribution of the input values of honest Alice ...
A Quantum Version of The Spectral Decomposition Theorem of
A Quantum Version of The Spectral Decomposition Theorem of

The Fourth Quantum Number
The Fourth Quantum Number

Quantum Entanglement and the Geometry of Spacetime
Quantum Entanglement and the Geometry of Spacetime

... Powerful new way to think about QFTs and many-body systems: • quantum criticality • topological order • renormalization-group flows • energy conditions • many-body localization • quenches • much more… In general, difficult to compute—even in free theories Simplifies in certain theories with many str ...
the original file
the original file

Entanglement Monotones and Measures: an overview 1
Entanglement Monotones and Measures: an overview 1

Maximal Newton polygons via the quantum Bruhat graph
Maximal Newton polygons via the quantum Bruhat graph

... to enumerative geometry. Modern mathematical interest focuses on concretely understanding the structure of the quantum cohomology ring for any homogeneous variety G/P , where G is a complex reductive algebraic group and P a parabolic subgroup. The ring QH ∗ (G/P ) has a basis of Schubert classes, in ...
Slide 1
Slide 1

Entanglement verification with detection efficiency
Entanglement verification with detection efficiency

24 Interferometry with Macromolecules: Quantum Paradigms Tested
24 Interferometry with Macromolecules: Quantum Paradigms Tested

... entanglement, the inseparable correlation of at least two quantum systems – which can also be part of the same physical object, as in the entanglement of internal and external degrees of freedom. This property will become relevant in the context of decoherence, as discussed further below. In the dou ...
Reductionism and Emergence: Implications for the Science/theology
Reductionism and Emergence: Implications for the Science/theology

... since we’re nowhere close to knowing everything about the universe at any moment, nor will we ever be - but the equations don’t lie. As Einstein put it, ‘It appears therefore more natural to think of physical reality as a four dimensional existence, instead of, as hitherto, the evolution of a three ...
Measuring the quantum mechanical wave function
Measuring the quantum mechanical wave function

The Single-Atom Transistor: perspectives for quantum electronics on
The Single-Atom Transistor: perspectives for quantum electronics on

Symmetries and quantum field theory: an introduction Jean-No¨ el Fuchs
Symmetries and quantum field theory: an introduction Jean-No¨ el Fuchs

< 1 ... 103 104 105 106 107 108 109 110 111 ... 245 >

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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