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Introduction to Quantum Computing (2010) (e-book)
Introduction to Quantum Computing (2010) (e-book)

... As a theoretical Physics student, on the one hand I’m interested on an entire class of problems related to quantum information theory, including aspects of classical and quantum cryptography, as well as the computational complexity theory and quantum algorithms. On the another hand, when it comes to ...
Encountering Productive Forms of Complexity in Learning Modern
Encountering Productive Forms of Complexity in Learning Modern

Bell-like inequalities from symmetrized products of noncommuting
Bell-like inequalities from symmetrized products of noncommuting

How to realize a universal quantum gate with trapped ions
How to realize a universal quantum gate with trapped ions

Quantum networks with trapped ions
Quantum networks with trapped ions

Structural Explanations, or the Reasonable Effectiveness of
Structural Explanations, or the Reasonable Effectiveness of

Program and Booklet - Fakultät für Mathematik
Program and Booklet - Fakultät für Mathematik

Relation between the field quadratures and the characteristic
Relation between the field quadratures and the characteristic

An Introduction to the Mathematical Aspects of Quantum Mechanics:
An Introduction to the Mathematical Aspects of Quantum Mechanics:

... where xk is an arbitrary point of Ik . We desire that this sum converge to a limit as the maximum length goes to zero, and furthermore the convergence is independent of our choices of intervals Ik and point xk . If all this holds, we call the limit x̄ the mathematical expectation of x. If x is not r ...
- Philsci
- Philsci

... determined, that is, at the instant when the photon is scattered by the electron, the electron undergoes a discontinuous change in momentum” (Heisenberg, 1927, pp. 174-175). However, Heisenberg’s 1927’s derivation was quite confusing. For instance, if the meaning of an observable is determined, as h ...
Quantum Information Processing - LANL Research Library
Quantum Information Processing - LANL Research Library

Analysis of Literature: Quantum Computer Programming
Analysis of Literature: Quantum Computer Programming

Continuous Quantum Phase Transitions
Continuous Quantum Phase Transitions

Modernizing Quantum Annealing using Local Searches
Modernizing Quantum Annealing using Local Searches

Quantum technology: the second quantum revolution
Quantum technology: the second quantum revolution

NON-HERMITIAN QUANTUM MECHANICS by KATHERINE JONES
NON-HERMITIAN QUANTUM MECHANICS by KATHERINE JONES

Fractional topological insulators
Fractional topological insulators

6.453 Quantum Optical Communication
6.453 Quantum Optical Communication

... ! Input to the EO Modulator: Strong coherent state ! Output from the EO Modulator: Coherent state ! Asymmetric Beam Splitter Input-Output Relation: ...
Coherent, Squeezed, and Thermal State of Harmonic Oscillator with
Coherent, Squeezed, and Thermal State of Harmonic Oscillator with

... The coherent state can be an appropriate basis not confined to optical field. This state describes quantummechanical state that resembled the classical description of the system. In squeezed state, it is possible to reduce the variances in one quadrature component below coherent state limit at the e ...
Simple examples of second quantization 4
Simple examples of second quantization 4

Initial Conditions from Inflation
Initial Conditions from Inflation

Quantum Decoherence and the - Philsci
Quantum Decoherence and the - Philsci

Quantum Proofs for Classical Theorems
Quantum Proofs for Classical Theorems

... is to go to complex numbers: using the identity eix = cos x + i sin x we have ei(x+y) = eix eiy = (cos x + i sin x)(cos y + i sin y) = cos x cos y − sin x sin y + i(cos x sin y + sin x cos y) . Taking the real parts of the two sides gives our identity. Another example is the probabilistic method, as ...
Pedestrian notes on quantum mechanics
Pedestrian notes on quantum mechanics

Quantum information or quantum coding? - Philsci
Quantum information or quantum coding? - Philsci

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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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