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Randomness in (Quantum) Information Processing
Randomness in (Quantum) Information Processing

... quantum information processing, especially in cryptography. The accent is on production of high-quality randomness (randomness extraction), efficient usage of randomness (design of applications consuming as little randomness as possible), and role of weak randomness in applications - in what applica ...
Gate-defined quantum confinement in suspended bilayer graphene
Gate-defined quantum confinement in suspended bilayer graphene

auxiliary 1 sat.
auxiliary 1 sat.

Ashley’s presentation
Ashley’s presentation

`To Be, To Be, What Does it Mean to Be?` : On Quantum
`To Be, To Be, What Does it Mean to Be?` : On Quantum

Invited talks - Swinburne University
Invited talks - Swinburne University

Symmetry Breaking in Quantum Systems
Symmetry Breaking in Quantum Systems

Infinite-randomness quantum critical points induced by dissipation
Infinite-randomness quantum critical points induced by dissipation

- Philsci
- Philsci

... the context of the search for a quantum theory of gravity according to which physical space may have more than four dimensions (as e.g. in string theory): these proposals do not call into question the contrast between a configuration space as a mathematical space employed to represent the physical r ...
Spontaneous Dimensional Reduction in Quantum Gravity
Spontaneous Dimensional Reduction in Quantum Gravity

... phenomenon like dimensional reduction occurs in enough different settings, it may point to a fundamental feature of the physics. Scale dependence of dimension was originally noticed in anisotropic cosmologies [11], but its broader significance was not appreciated. In quantum gravity, the phenomenon ...
A short introduction to unitary 2-designs
A short introduction to unitary 2-designs

QUANTUM COMPUTATION AND LATTICE PROBLEMS ∗ 1
QUANTUM COMPUTATION AND LATTICE PROBLEMS ∗ 1



PDF only - at www.arxiv.org.
PDF only - at www.arxiv.org.

... If no further mutual or external interaction occurs, this entanglement persists undiminished no matter how far apart A and B may drift. Such entangled systems are known, both theoretically and experimentally, to have nonlocal properties, behaving in many ways like a singl ...
Quantum Level Structures and Nonlinear Classical Dynamics
Quantum Level Structures and Nonlinear Classical Dynamics

... the sense that each bifurcation of the classical phase space is accompanied by a corresponding bifurcation of the quantum eigenvalue spectrum. Such changes are easy to recognize in systems involving a single resonance, but the effect is quite general—as illustrated by a recent study of the relativel ...
A new theory of the origin of cancer
A new theory of the origin of cancer

First-principles study of the electronic structure of CdS/ZnSe coupled
First-principles study of the electronic structure of CdS/ZnSe coupled

... offsets using this method are shown in Table I. We find both the method provide nearly identical value for the HOMO offsets. The LUMO offsets calculated using the latter method, i.e. adding the HOMO offsets and the difference of energy gaps of the individual pristine clusters, show similar trend as ...
Modeling and Control of Quantum Systems: An Introduction
Modeling and Control of Quantum Systems: An Introduction

Quantum Phenomena in Condensed Phase
Quantum Phenomena in Condensed Phase

representing clifford algebra into omdoc format
representing clifford algebra into omdoc format

Feynman`s formulation of Quantum mechanics
Feynman`s formulation of Quantum mechanics

Binding energies of excitons in II–VI compound
Binding energies of excitons in II–VI compound

bohr`s semiclassical model of the black hole
bohr`s semiclassical model of the black hole

Hydrogen Atom.
Hydrogen Atom.

QuRE: The Quantum Resource Estimator Toolbox
QuRE: The Quantum Resource Estimator Toolbox

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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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