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The polarization of light - along with refraction, diffraction and
The polarization of light - along with refraction, diffraction and

... Certain crystals can take one photon and produce two photons with half the energy that have identical but still random polarization. This is called spontaneous parametric down conversion - SPDC. You will hear lots about this at the Institute for Quantum Computing. These pairs of photons are said to ...
Quantum Mechanics: Schrödinger vs Heisenberg
Quantum Mechanics: Schrödinger vs Heisenberg

... where in the right-hand-side we see the commutator of OH with the Hamiltonian of the system. Solution: Let OS and OH respectively be operators representing one and the same observable quantity in Schrödinger's and Heisenberg's pictures, and H be the operator representing the Hamiltonian of a physica ...
Shanghai Conference on Representation Theory
Shanghai Conference on Representation Theory

Resource Letter SPE-1: Single-Photon Experiments in the Undergraduate Laboratory
Resource Letter SPE-1: Single-Photon Experiments in the Undergraduate Laboratory

... properties of quantum noise. (I) 33. “The wave-particle duality of light: A demonstration experiment,” T. L. Dimitrova and A. Weis, Am. J. Phys. 76, 137–142 (2008). This interferometer apparatus allows students to “hear” the photon signals as the degree of interference is varied or as one of the arm ...
72 063623 (2005) .
72 063623 (2005) .

... As we choose parameters as K = 2, gc = 0.2, the classical system is nearly integrable where the phase space is full of periodic and quasiperiodic orbits. We found Gaussian decay for the fidelity of single initial coherent states, with a strong dependence of decaying rate on the location of the initi ...
Titles and Abstracts
Titles and Abstracts

... (group chain classified bases), where the fractional parentage expansion method can be used. Five- and six-quark systems are taken as the example in this study. Three quark models are used to show the general applicability of the new multiquark calculation method and general results of constituent q ...
Quantum error correction
Quantum error correction

... other systems give rise to a full set of quantum phenomena, many of which have no correspondence in classical information theory. These phenomena include decoherence, as a consequence of entanglement. Decoherence can also be understood as “information leakage”, i.e., knowledge of an event is transfe ...
Qubit metrology for building a fault-tolerant quantum
Qubit metrology for building a fault-tolerant quantum

Journal of Babylon University/Pure and Applied Sciences/ No.(6
Journal of Babylon University/Pure and Applied Sciences/ No.(6

... This Hamiltonian is specified by 9 parameters ,2 appearing in the one body term ,  s ,  d ,and 7 in the two body terms , CL (L  0,2,4) , ~L (L  0,2) and uL (L  0,2) .However ,since the total number of boson (pairs) is conserved , N  ns  nd (Abraham et al,1980). The transition operator in IBM ...
85, 155302 (2012)
85, 155302 (2012)

... properties that make them attractive candidates for quantum information applications. A recent example is provided by s-wave superconductivity on a semiconductor platform, which is tuned through a TQCP to a topological superconducting (TS) state by an external Zeeman field. Despite many attractive f ...
Superfluid Helium
Superfluid Helium

... time, was able to liquefy it.[1] (For this work, he received the Nobel Prize in 1913) Onnes continued to lower the temperature of helium hoping that it would eventually solidify. His efforts however, were doomed to failure. The fact is that helium will never solidify at atmospheric pressure. The cau ...
Quantum Algorithms for Evaluating MIN
Quantum Algorithms for Evaluating MIN

Optically polarized atoms_ch_2
Optically polarized atoms_ch_2

... In this approximation, energy of a configuration is just sum of Ei No reference to projections of li or to spins  degeneracy If we go beyond the central-field approximation some of the degeneracies will be lifted Also spin-orbit (ls) interaction lifts some degeneracies In general, both effects nee ...
Ontological Status of Molecular Structure - HYLE-
Ontological Status of Molecular Structure - HYLE-

... directly or indirectly by our five senses. The above examples show that the claim that the whole physical world is nothing but ‘atoms and quanta’ is as untenable as the claim that airplanes, tractors, cars, trains, bridges, etc., are but the materials of which they are made. That is to say, a given ...
Hamiltonian and measuring time for analog quantum search
Hamiltonian and measuring time for analog quantum search

... where φ is an additional phase to the Fenner Hamiltonian. Unlike the Grover algorithm, which operates on a state in discrete time, a search Hamiltonian operates a state in continuous time, so the 100% probability for finding the marked state can be guaranteed. Both the Hamiltonians Hf g and Hf can h ...
Introduction, Configuration space, Equations of Motion, Velocity
Introduction, Configuration space, Equations of Motion, Velocity

Ph. D. thesis Quantum Phase Transitions in Correlated Systems
Ph. D. thesis Quantum Phase Transitions in Correlated Systems

Ideal Quantum Gases
Ideal Quantum Gases

... wave function vanishes if one attempts to place both particles in exactly the same state. Therefore, the Pauli exclusion principle states that it is not possible for more than one fermion to occupy any particular state; occupancy by one fermion blocks occupancy by others. Consider a system of 2 iden ...
The Iterative Unitary Matrix Multiply Method and Its Application to
The Iterative Unitary Matrix Multiply Method and Its Application to

DENSITY CONCEPT IN MOLECULES AND MATERIALS
DENSITY CONCEPT IN MOLECULES AND MATERIALS

... The basic ideas underlying the versatile uses of the concept of density in the modeling of molecules and materials, as visualized in various length scales, are outlined. In the microscopic length scale, it is the electron density that has played a major role in providing a deeper understanding of ch ...
1 Analytic Representation of The Square
1 Analytic Representation of The Square

... few Compton wavelengths (cutoff). To our knowledge, this is the first example of a physically relevant operator with these properties. When the magnetic field is constant, we obtain an additional singularity, which could be interpreted as particle absorption and emission. The physical picture that e ...
Machine invention of quantum computing circuits by means
Machine invention of quantum computing circuits by means

... A genetic programming system is a genetic algorithm (Holland, 1992) in which the chromosomes are executable computer programs (Koza, 1992). In these systems one begins with a population of computer programs, each of which is a random composition of elements from a problem-specific set of program ele ...
International Journal of Mathematics, Game Theory and Algebra
International Journal of Mathematics, Game Theory and Algebra

On Cayley graphs, surface codes, and the limits of homological
On Cayley graphs, surface codes, and the limits of homological

... Now, switching to the construction of the associated quantum code, we take the matrix H1 to be again the point-edge incidence matrix of the graph G, and the matrix H2 is now the set of characteristic vectors of the faces of G. Alternatively, H1 can be seen as the set of characteristic vectors of the ...
A minus sign that used to annoy me but now I know why it is there
A minus sign that used to annoy me but now I know why it is there

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Canonical quantization

In physics, canonical quantization is a procedure for quantizing a classical theory, while attempting to preserve the formal structure, such as symmetries, of the classical theory, to the greatest extent possible.Historically, this was not quite Werner Heisenberg's route to obtaining quantum mechanics, but Paul Dirac introduced it in his 1926 doctoral thesis, the ""method of classical analogy"" for quantization, and detailed it in his classic text. The word canonical arises from the Hamiltonian approach to classical mechanics, in which a system's dynamics is generated via canonical Poisson brackets, a structure which is only partially preserved in canonical quantization.This method was further used in the context of quantum field theory by Paul Dirac, in his construction of quantum electrodynamics. In the field theory context, it is also called second quantization, in contrast to the semi-classical first quantization for single particles.
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