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Demonstration of a Stable Atom-Photon Entanglement Source for
Demonstration of a Stable Atom-Photon Entanglement Source for

... netic sublevels and efficiency of frequency mixing limits the further application. Another kind of atom-photon entanglement is realized using the orbital angular momentum (OAM) states [19], which could also extend to highdimensional entanglement. However, the divergence property of different OAM mod ...
PHYSICAL MEANING OF IMAGINARY UNIT i
PHYSICAL MEANING OF IMAGINARY UNIT i

... Three centuries have passed since 1712 fierce debates about the meaning of complex numbers were started. Gottfried Leibniz, Leonhard Euler, Johann Bernoulli and other outstanding scientists participated in them. However, from then until all discussions on this topic unfortunately, ended virtually no ...
Computational Complexity: A Modern Approach
Computational Complexity: A Modern Approach

Two-dimensional electron gas in InGaAs/ InAlAs quantum wells E. Diez
Two-dimensional electron gas in InGaAs/ InAlAs quantum wells E. Diez

Why the brain is probably not a quantum computer Max Tegmark
Why the brain is probably not a quantum computer Max Tegmark

... information is zero, then the states of the two systems are uncorrelated and independent, with the density matrix of the separable form q ˆ q1 q2 . If the subsystems start out independent, any interaction will at least initially increase the subsystem entropies Si , thereby increasing the mutual i ...
Metric fluctuations and the weak equivalence principle
Metric fluctuations and the weak equivalence principle

Commentary_Basti
Commentary_Basti

- City Research Online
- City Research Online

... function of the number operator N . One may consider various types of Hamiltonian systems, either Hermitian or non-Hermitian, and replace the original standard canonical variables (x0 , p0 ), obeying [x0 , p0 ] = i~, by (X, P ). It is crucial to note that even when the undeformed Hamiltonian is Herm ...
Machine invention of quantum computing circuits by means
Machine invention of quantum computing circuits by means

Revista Mexicana de Física . Darboux-deformed barriers
Revista Mexicana de Física . Darboux-deformed barriers

The Universal Covering Group of U (n) and Projective Representations
The Universal Covering Group of U (n) and Projective Representations

Chapter 11 Observables and Measurements in Quantum Mechanics
Chapter 11 Observables and Measurements in Quantum Mechanics

... that can have definite values x associated with unphysical states |x!. There is a further argument about the viability of this idea, at least in the contect of measuring the position of a particle, which is to say that if the position were to be precisely defined at a particular value, this would me ...
Chirality quantum phase transition in the Dirac oscillator - E
Chirality quantum phase transition in the Dirac oscillator - E

Elements of Quantum Mechanics and the H Atom
Elements of Quantum Mechanics and the H Atom

1996 Orchestrated Objective Reduction of Quantum Coherence in
1996 Orchestrated Objective Reduction of Quantum Coherence in

QUANTUM COMPUTING: AN OVERVIEW
QUANTUM COMPUTING: AN OVERVIEW

... physics is the superposition principle by which a quantum system can take several different states simultaneously. The input for a quantum computing device may be a superposition of many possible inputs, and accordingly the output is also a superposition of the corresponding output states. Another as ...
Entry Level Math - algebra vs modeling
Entry Level Math - algebra vs modeling

Pairs of Pants, Pochhammer Curves and L2 - Invariants
Pairs of Pants, Pochhammer Curves and L2 - Invariants

... As elegant as this argument may be, it throws very little light on the meaning attached to the result (1). In addition, the definitions that have been provided for these invariants (three different versions are proposed in [19], all of which coincide in Atiyah’s example) do not seem to give a hint t ...
RANDOM MATRIX THEORY IN PHYSICS
RANDOM MATRIX THEORY IN PHYSICS

J JCAP01(2009)030 Covariant effective action for loop quantum cosmology `
J JCAP01(2009)030 Covariant effective action for loop quantum cosmology `

Quantum heat engine with multilevel quantum systems
Quantum heat engine with multilevel quantum systems

Phys. Rev. Lett. 98, 070602
Phys. Rev. Lett. 98, 070602

MATHEMATICAL HISTORY OF WAVE AND MATRIX QUANTUM
MATHEMATICAL HISTORY OF WAVE AND MATRIX QUANTUM

Introduction to quantum statistical thermodynamics by Armen
Introduction to quantum statistical thermodynamics by Armen

Is there a problem with quantum wormhole states in N= 1
Is there a problem with quantum wormhole states in N= 1

... models in pure N=1 supergravity [11-15] seemed to depend on the homogeneity condition for the gravitino [13]. In fact, it does not and it is now possible to find a Hartle-Hawking and wormhole [15] solutions in the same spectrum [8]. This result requires the inclusion of all allowed gravitational deg ...
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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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