Spectrum analysis with quantum dynamical systems
... where ĤM is the mechanical Hamiltonian, ĤO is the optical Hamiltonian, and ĥ is the optomechanical interaction Hamiltonian. For example, if the mechanical oscillator with position operator q̂ interacts with one cavity optical mode with photon-number operator n̂, ĥ = −g0 n̂q̂, where g0 is a coup ...
... where ĤM is the mechanical Hamiltonian, ĤO is the optical Hamiltonian, and ĥ is the optomechanical interaction Hamiltonian. For example, if the mechanical oscillator with position operator q̂ interacts with one cavity optical mode with photon-number operator n̂, ĥ = −g0 n̂q̂, where g0 is a coup ...
Open System Categorical Quantum Semantics in Natural Language
... while a polysemous word corresponds to a pure quantum state, a homonymous word is given by a mixed state that essentially embodies a probability distribution over all potential meanings of that word. Mathematically, a mixed states is expressed as a density matrix: a self-adjoint, positive semi-defin ...
... while a polysemous word corresponds to a pure quantum state, a homonymous word is given by a mixed state that essentially embodies a probability distribution over all potential meanings of that word. Mathematically, a mixed states is expressed as a density matrix: a self-adjoint, positive semi-defin ...
The Theory of Collisions between Two Diatomic Molecules
... As is well known, the knowledge of molecular collision processes, in general, together with that of the stationary states of molecules form the fundamental part of the chemical physics. And these molecular collisions which may be accompanied with the rotational and/or the vibrational transitions can ...
... As is well known, the knowledge of molecular collision processes, in general, together with that of the stationary states of molecules form the fundamental part of the chemical physics. And these molecular collisions which may be accompanied with the rotational and/or the vibrational transitions can ...
new physics and the mind paster
... a value associated with the spin of physics’ elementary particles. The surface and volume of spacetime are built up at the edges and nodes of the spin network. Because spacetime at the planck scale is not localized at a point, these spin networks have come to be called spin foam. A number of physici ...
... a value associated with the spin of physics’ elementary particles. The surface and volume of spacetime are built up at the edges and nodes of the spin network. Because spacetime at the planck scale is not localized at a point, these spin networks have come to be called spin foam. A number of physici ...
Mikael Petersson Perturbed discrete time stochastic models
... regenerative processes, risk processes, Markov chains, and semi-Markov processes. There exists a large set of literature where different types of perturbations have been studied for Markov chains and semi-Markov processes under various assumptions. Let us first review the literature concerned with ...
... regenerative processes, risk processes, Markov chains, and semi-Markov processes. There exists a large set of literature where different types of perturbations have been studied for Markov chains and semi-Markov processes under various assumptions. Let us first review the literature concerned with ...
Semi-Classical Theory for Non-separable Systems
... and 9is a projection operator that projects onto all states which have evolved in the infinite past from reactants.ll It is easy to see that eqn (17) can be written as eqn (1) with N(E) given by ...
... and 9is a projection operator that projects onto all states which have evolved in the infinite past from reactants.ll It is easy to see that eqn (17) can be written as eqn (1) with N(E) given by ...
Nonlinear propagation of coherent electromagnetic waves in a dense magnetized plasma
... to being used for heating high density plasmas in ICF schemes. Furthermore, since there exist huge magnetic fields27–29 in the cores of massive white dwarf stars and in ICF schemes, it is of practical interest to examine the consequences of ambient magnetic fields on the transport of electrons and t ...
... to being used for heating high density plasmas in ICF schemes. Furthermore, since there exist huge magnetic fields27–29 in the cores of massive white dwarf stars and in ICF schemes, it is of practical interest to examine the consequences of ambient magnetic fields on the transport of electrons and t ...
Characterizing the Performance Effect of Trials and Rotations in
... describes the different implementation approaches we consider. Section V analyzes the resulting design space tradeoff. Section VI discusses related work, and Section VII concludes. We also include an appendix that derives key application characteristics from Shor’s algorithm and Ground State Estimat ...
... describes the different implementation approaches we consider. Section V analyzes the resulting design space tradeoff. Section VI discusses related work, and Section VII concludes. We also include an appendix that derives key application characteristics from Shor’s algorithm and Ground State Estimat ...
Degeneracy in one-dimensional quantum mechanics
... identically zero, but φ1 and φ2 are linearly independent on the whole real line R. In other words, φ1 and φ2 are two degenerated wave-functions. Note, however, that φ1 and φ2 are linearly dependent if they are restricted either to the interval R− ∪ {0} or R+ ∪ {0}, i.e. ...
... identically zero, but φ1 and φ2 are linearly independent on the whole real line R. In other words, φ1 and φ2 are two degenerated wave-functions. Note, however, that φ1 and φ2 are linearly dependent if they are restricted either to the interval R− ∪ {0} or R+ ∪ {0}, i.e. ...
Quantum Spacetimes and Finite N Effects in 4D Super Yang
... AdS5 × S 5 and the N = 4 superconformal four dimensional super Yang-Mills. The gauge group of the field theory is SU (N ) when the flux through S 5 is N . In the case of large N and large effective coupling, Maldacena’s conjecture relates the corresponding field theory and the classical supergravity ...
... AdS5 × S 5 and the N = 4 superconformal four dimensional super Yang-Mills. The gauge group of the field theory is SU (N ) when the flux through S 5 is N . In the case of large N and large effective coupling, Maldacena’s conjecture relates the corresponding field theory and the classical supergravity ...
Shamsul Kaonain
... Ordinary computers cannot simulate a quantum computer efficiently, thus we can conclude that quantum computers would offer us an essential speed advantage over classical computers. This advantage is so significant that many researchers are of the opinion that any amount of progress in classical comp ...
... Ordinary computers cannot simulate a quantum computer efficiently, thus we can conclude that quantum computers would offer us an essential speed advantage over classical computers. This advantage is so significant that many researchers are of the opinion that any amount of progress in classical comp ...
Document
... study the possibility of doing inexact quantum cloning in different quantum systems(see, arXiv) One can also prove no-cloning theorem using some other physical constraints on the system. We will do some later. Ref:-Wootters & Zurek, Nature, 299(1982)802, Diecks, Phys. Lett. A, 92(1982)271, Yuen, Phy ...
... study the possibility of doing inexact quantum cloning in different quantum systems(see, arXiv) One can also prove no-cloning theorem using some other physical constraints on the system. We will do some later. Ref:-Wootters & Zurek, Nature, 299(1982)802, Diecks, Phys. Lett. A, 92(1982)271, Yuen, Phy ...
Probability amplitude
In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.