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Defining and detecting quantum speedup
Defining and detecting quantum speedup

... In the absence of a consensus about what is the best classical algorithm, we define potential (quantum) speedup as a speedup compared to a specific classical algorithm or a set of classical algorithms. An example is the simulation of the time evolution of a quantum system, where the propagation of t ...
Quantum Computation: Theory and Implementation
Quantum Computation: Theory and Implementation

... Software design (1)............................................................................................................................................181 ...
Slater decomposition of fractional quantum Hall states
Slater decomposition of fractional quantum Hall states

... the problem was made by Bernevig and Haldane [BH08], who recognised Laughlin’s wavefunctions to be Jack polynomials. Jack polynomials are a set of symmetric functions already well known for their relevance in integrable systems theory (they are excitations of the Sutherland model, i.e. eigenvalues o ...
Quantum Physics and the Holy Grail BRIAN JOHN PICCOLO
Quantum Physics and the Holy Grail BRIAN JOHN PICCOLO

Geometries, Band Gaps, Dipole Moments, Ionization Energies and
Geometries, Band Gaps, Dipole Moments, Ionization Energies and

... Quantum dot (QD) is a common term to designate a semiconductor nanostructure that confines motion of its conduction band electrons and/or valence band holes in all directions. QDs are so small particles that their electronic and optical properties differ drastically from the bulk volume of the corre ...
1 simultaneous polarization squeezing of all three stokes
1 simultaneous polarization squeezing of all three stokes

The Tenth Rochester Conferences on Coherence Quantum Information and Measurement
The Tenth Rochester Conferences on Coherence Quantum Information and Measurement

5.3 Atomic Emission Spectra and the Quantum Mechanical Model
5.3 Atomic Emission Spectra and the Quantum Mechanical Model

A generalized entropy measuring quantum localization
A generalized entropy measuring quantum localization

... the time scale (the so-called break-time or Heisenberg time) on which quantum time evolution saturates due to the discreteness of the spectrum (see, e.g., [10]). (ii) Barrier action of tori and cantori: Localization on quantized invariant tori is well described within the semiclassical ebktheory. T ...
5.3 Atomic Emission Spectra and the Quantum Mechanical Model
5.3 Atomic Emission Spectra and the Quantum Mechanical Model

... Quantum Mechanics How does quantum mechanics differ from classical mechanics? ...
Quantum Information Processing - wolfgang
Quantum Information Processing - wolfgang

Three Puzzles about Bohr`s Correspondence Principle
Three Puzzles about Bohr`s Correspondence Principle

Quantum Computing
Quantum Computing

RSC ChemComm Template (PC) - Royal Society of Chemistry
RSC ChemComm Template (PC) - Royal Society of Chemistry

International Journal of Mathematics, Game Theory and Algebra
International Journal of Mathematics, Game Theory and Algebra

... set of functions of the form (1) ( r is not fixed! ) over any compact subset of Rn . In other words, the set M (σ) = span {σ(w · x − θ) : θ ∈ R, w ∈Rn} is dense in the space C(Rn ) in the topology of uniform convergence on all compacta (see, e.g., [2,3,4,7,10]). More general result of this type belo ...
The Quark model
The Quark model

Quantum dynamics in strong fluctuating fields - Physik Uni
Quantum dynamics in strong fluctuating fields - Physik Uni

Document
Document

... on all values in a certain range, we may integrate it with respect to x, to get another ket vector  | x  dx | X  say. A ket vector which is expressible linearly in terms of certain others is said dependent on them. A set of ket vectors are called independent if no one of them is expressible line ...
The Emergence and Interpretation of Probability
The Emergence and Interpretation of Probability

Probability in Bohmian Mechanics[1]
Probability in Bohmian Mechanics[1]

annual report 2015 - ARC Centre of Excellence for Engineered
annual report 2015 - ARC Centre of Excellence for Engineered

Document
Document

5.7. time-reversal symmetry for spin-1/2 and Kramers
5.7. time-reversal symmetry for spin-1/2 and Kramers

Circuit Quantum Electrodynamics with Transmon Qubits in
Circuit Quantum Electrodynamics with Transmon Qubits in

Polarization statistics
Polarization statistics

< 1 ... 31 32 33 34 35 36 37 38 39 ... 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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