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The Causal Set Approach to Quantum Gravity
The Causal Set Approach to Quantum Gravity

Disorder-induced order with ultra-cold atoms
Disorder-induced order with ultra-cold atoms

... already led to seminal breakthroughs like the creation of a Bose-Einstein Condensate [Anderson et al., 1995, Davis et al., 1995], the transition between Mott Insulator and Superfluid [Greiner et al., 2002], as well as the above-mentioned creation of Anderson Localization in matter waves. Due to the ...
Entanglement Entropy
Entanglement Entropy

... ψ = aχ+ + bχ− (where a and b are fixed complex numbers satisfying |a|2 +|b|2 = 1), describe1 an electron spin oriented in a particular direction n = n (θ, ϕ) with θ = 2 arccos |a|, ϕ = arg b − arg a. This means that ψ can represent an electron beam polarized along n while it cannot represent an unpo ...
Decoherence in Solid State Qubits
Decoherence in Solid State Qubits

Quantum Databases
Quantum Databases

A Critique of Pure String Theory: Heterodox Opinions of Diverse
A Critique of Pure String Theory: Heterodox Opinions of Diverse

... like the (2, 0) theory in six dimensions, which have not yet been realized as infrared limits of Gaussian models (this is impossible) or discretized statistical sums (this is possible but unknown at the moment) that we have been forced to face the truly radical departure from Lagrangian dynamics th ...
Rigorous results in electronic structure calculations
Rigorous results in electronic structure calculations

Charged domain-wall dynamics in doped antiferromagnets and spin
Charged domain-wall dynamics in doped antiferromagnets and spin

Single-exciton spectroscopy of single Mn doped InAs quantum dots
Single-exciton spectroscopy of single Mn doped InAs quantum dots

Universal formalism of Fano resonance
Universal formalism of Fano resonance

Conformal field theory for inhomogeneous one
Conformal field theory for inhomogeneous one

Abstract Experiments demonstrating entanglement swapping have
Abstract Experiments demonstrating entanglement swapping have

Quantum information with continuous variables
Quantum information with continuous variables

Lectures on Arithmetic Noncommutative Geometry Matilde Marcolli
Lectures on Arithmetic Noncommutative Geometry Matilde Marcolli

... references to the relevant literature, where complete proofs are provided (in particular [32], [44], [38], and [83]). More explicitly, the text is organized as follows: • We start by recalling a few preliminary notions of noncommutative geometry (following [21]). • The second chapter describes how v ...
The Violation of Bell Inequalities in the Macroworld
The Violation of Bell Inequalities in the Macroworld

quantum dynamics of integrable spin chains
quantum dynamics of integrable spin chains

Entanglement in single-particle systems
Entanglement in single-particle systems

Geometric entanglement in topologically ordered states
Geometric entanglement in topologically ordered states

Tor Vergata
Tor Vergata

Quantum Bianchi I model: an attempt to understand very early
Quantum Bianchi I model: an attempt to understand very early

Theory of Nothing
Theory of Nothing

Full-Text PDF
Full-Text PDF

Superconducting Qubit Storage and Entanglement with Nanomechanical Resonators A. N. Cleland
Superconducting Qubit Storage and Entanglement with Nanomechanical Resonators A. N. Cleland

... vibrational mode. Upon cooling to 20 mK, the 1.8 GHz dilatational mode will be in the quantum regime, with a probability of thermally occupying the first excited (one phonon) state of about 102 . Using dilatational-phonon creation and annihilation operators, the resonator  0 ay a. Hamiltonian is H ...
Text and script of the play "Incredible Quantum Tablet".
Text and script of the play "Incredible Quantum Tablet".

Macroscopic quantum effects based on Kerr nonlinearities
Macroscopic quantum effects based on Kerr nonlinearities

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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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