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Physics and Philosophy
Physics and Philosophy

Theory of Brain Function, Quantum Mechanics and Superstrings
Theory of Brain Function, Quantum Mechanics and Superstrings

More Graviton Physics
More Graviton Physics

... Recently, however, using powerful (string-based) techniques, which simplify conventional quantum field theory calculations, it has been demonstrated that the scattering of gravitons from an elementary target of arbitrary spin factorizes [6], a feature that had been noted ten years previously by Choi ...
Modernizing Quantum Annealing using Local Searches
Modernizing Quantum Annealing using Local Searches

... qubits. A local search, however, only searches a small subspace of the total solution space, and therefore only errors which occur on states within this subspace are relevant. A local search can therefore give meaningful results even in a problem where the global optimum is no longer correctly speci ...
Nonequilibrium fluctuations, fluctuation theorems
Nonequilibrium fluctuations, fluctuation theorems

... 2002; Collin et al., 2005兲 and in optically driven microspheres 共Trepagnier et al., 2004兲, entropy fluctuations have also been measured in a similar system 共Wang et al., 2005兲 and in spectroscopic experiments on a defect center in diamond 共Schuler et al., 2005; Tietz et al., 2006兲. When decreasing s ...
“Formal” vs. “Empirical” Approaches to Quantum
“Formal” vs. “Empirical” Approaches to Quantum

... at the level of the real physical behavior that can be accurately (if approximately) modeled in the theories. It is conceivable that one could successfully effect an empirical reduction by means of a formal reduction: if the reduced theory is a special case of the reducing theory, then any physical ...
Boson sampling for molecular vibronic spectra - CIQM
Boson sampling for molecular vibronic spectra - CIQM

... debate around the ECT, it also appears as a somewhat artificial problem in which we ask a classical computer to predict the behaviour of a quantum machine (under certain working conditions) and then compare its efficiency with the direct operation of the ...
Spin quantum computation in silicon nanostructures
Spin quantum computation in silicon nanostructures

... that is prohibitively time-consuming in classical computation, thus revolutionizing cryptography and information theory. Since the invention of Shor’s factoring algorithm, it has also been shown that error correction can be done to a quantum system [4], so that a practical QC does not have to be for ...
L17-20
L17-20

On the conundrum of deriving exact solutions from approximate
On the conundrum of deriving exact solutions from approximate

... ½bk ; byk0  ¼ dkk0 . We assume that the system couples linearly to the bath with a hermitian system operator X, so that the interaction Hamiltonian reads H sb ¼  hX n ...
Chapter 1 Elementary solutions of the classical wave equation
Chapter 1 Elementary solutions of the classical wave equation

... rise to a large effective current surrounding the magnetic material at the edge. This is the same which happens with the electron’s wave function, both electrically in the form of an effective current surrounding the wave function, as well as inertially in the form of an effective momentum flow arou ...
1 Introduction - UCR Math Dept.
1 Introduction - UCR Math Dept.

Spin-valley lifetimes in a silicon quantum dot with tunable valley
Spin-valley lifetimes in a silicon quantum dot with tunable valley

Strong no-go theorem for Gaussian quantum bit commitment
Strong no-go theorem for Gaussian quantum bit commitment

... protocols to date have been based on discrete variables in a finite-dimensional Hilbert space. Recently, however, continuous variables (CVs) have been proven to be a very powerful alternative approach [14]. In the case of optical communication, for example, the quadrature components of the light fie ...
Wigner function formalism in Quantum mechanics
Wigner function formalism in Quantum mechanics

One-way quantum computing with arbitrarily large time
One-way quantum computing with arbitrarily large time

... measured in the q̂ basis to delete them or in a different basis to implement a two-qumode gate. (b) New MBQC protocol taking advantage of the BSL structure. Both layers of the lattice are used simultaneously, and quantum information propagates in the direction of increased temporal index, i.e., hori ...
Evolving Quantum circuits - Portland State University
Evolving Quantum circuits - Portland State University

... even further to ternary logic. Observe that arbitrary nonreversible one-output function control an arbitrary reversible operator (not necessarily the Ternary Galois Addition used in Ternary Feynman gate). The method to implement arbitrary non-reversible functions is shown in Figure 3b. Such function ...
Extremal properties of the variance and the quantum Fisher
Extremal properties of the variance and the quantum Fisher

Large-N Limit as a Classical Limit: Baryon Two-dimensional QCD and Multi-Matrix Models
Large-N Limit as a Classical Limit: Baryon Two-dimensional QCD and Multi-Matrix Models

Insurance Portfolio Analysis
Insurance Portfolio Analysis

... In this study, the insurance portfolio is considered as a system consisting of multiple facilities. For this system, the loss is the payment for the entire portfolio and is the summation of the payment for each individual facilities as there is no system interaction for the payment. Then we need not ...
Quantum correlations and distinguishability of quantum states
Quantum correlations and distinguishability of quantum states

E.T.WHITTAKER`S QUANTUM FORMALISM
E.T.WHITTAKER`S QUANTUM FORMALISM

... Whittaker’s second example: Lebedeff’s formula ...
Maritime Applications of Quantum Computation
Maritime Applications of Quantum Computation

... applications, finding (more) efficient algorithms to manipulate visual information is a most important research area. Quantum Image Processing, a blend of quantum computation and image processing, is a discipline focused on designing novel quantum algorithms for storing, processing and retrieving vi ...
Quantum dots coordinated with conjugated organic ligands: new
Quantum dots coordinated with conjugated organic ligands: new

Chapter 28
Chapter 28

... the well are located at x  0 and x  L , the particle must have wavelength   _____ if the boundary conditions at the wall are to be satisfied. a. 0 b. L/2 c. L/2n d. L/n e. 2L/n ANS: e 61. A particle in a one-dimensional infinite potential well is known as a particle in a box. When the walls of t ...
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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.
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