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Vibrating String Investigations
Vibrating String Investigations

Some Basic Aspects of Fractional Quantum Numbers
Some Basic Aspects of Fractional Quantum Numbers

Photonic Communications and Quantum Information Storage
Photonic Communications and Quantum Information Storage

The Iterative Unitary Matrix Multiply Method and Its Application to
The Iterative Unitary Matrix Multiply Method and Its Application to

... are the first irrational number with delocalization ever known. Both results have important meaning for the theory of QKR. Third, the large delocalization time is explained by the degenerate perturbation theory, which is suggested by and consistent with the delocalization path of the numerical calcu ...
Slide 1
Slide 1

... measurement allows to extract information of a quantum system in the limit of vanishingly small disturbance to its state.  In strong measurement, while measuring an observable, the pointer indicates the eigenvalues of the given observable.  In weak measurement the pointer may indicate a value beyo ...
Partially Nondestructive Continuous Detection of Individual Traveling Optical Photons
Partially Nondestructive Continuous Detection of Individual Traveling Optical Photons

... in state jdi, and hence have the same effect on the cavity light as traveling signal photons. To study only those events when we preserve the signal photon, we define the conditional nondestructive quantum efficiency Q to be the conditional probability for a correlated photon to be detected in the p ...
Document
Document

... E(S1,…,SN) = - ½ i Σ= j Wij Si Sj + C (Wii = P/N) (Lyapunov function) • Attractors= local minima of energy function. ...
ppt - University of New Mexico
ppt - University of New Mexico

PEPS, matrix product operators and the Bethe ansatz
PEPS, matrix product operators and the Bethe ansatz

... very well conditioned and can be solved using DMRG-like sweeping! – Core method for simulating PEPS – The error in the approximation is known exactly! – Leads to a massively parallel time evolution algorithm that does not ...
A Quantum Mechanical Supertask
A Quantum Mechanical Supertask

Chapter 11 Noncommuting Operators and Uncertainty
Chapter 11 Noncommuting Operators and Uncertainty

Quantum Physics Physics
Quantum Physics Physics

... Well-known examples of quantum cryptography are the use of quantum communication to securely exchange a key (quantum key distribution). The advantage of quantum cryptography lies in the fact that it allows the completions of various cryptographic tasks that er proven to be impossible using only clas ...
Quantum Computing - Computer Science and Engineering
Quantum Computing - Computer Science and Engineering

THE C∗-ALGEBRAIC FORMALISM OF QUANTUM MECHANICS
THE C∗-ALGEBRAIC FORMALISM OF QUANTUM MECHANICS

Dealing with ignorance: universal discrimination, learning and quantum correlations Gael Sentís Herrera
Dealing with ignorance: universal discrimination, learning and quantum correlations Gael Sentís Herrera

... further, this is the technique that the statisticians used to come up with the number 246. It is, though, a particular way of handling available information and uncertainty, and certainly not the only possible approach. There is an alternative solution to this problem that, involving different assum ...
Proton cloud and the possibility of direct perceiving of a Hydrogen
Proton cloud and the possibility of direct perceiving of a Hydrogen

Mixed quantum–classical dynamics
Mixed quantum–classical dynamics

... normalized ; the integral over R of o X (R, t) o2 is the population of state i at time t. i Substituting eqn. (21) into the time-dependent SchroŽdinger equation, multiplying from the left by U*(r, R) and integrating over r gives a set of coupled di†erential equations for the X (R, t), j ...
Revista Mexicana de Física . Darboux-deformed barriers
Revista Mexicana de Física . Darboux-deformed barriers

... refer to metastable behavior [4,5] (see also [6]). They behave asymptotically as purely outgoing waves (Gamow-Siegert functions) and are associated with poles of the S-matrix in the 4th quadrant of the complex ²-plane [7, 8]. The fact that ΨG diverges at large distances is usually stressed to motiva ...
@let@token Polarized Ensembles of Random Quantum States
@let@token Polarized Ensembles of Random Quantum States

... RANDOM STATES ...
ECPOL: equations and MAtlAB tools for EC wave reflection and
ECPOL: equations and MAtlAB tools for EC wave reflection and

arXiv:quant-ph/0510223v4 1 Jun 2007 Foundations Of Quantum
arXiv:quant-ph/0510223v4 1 Jun 2007 Foundations Of Quantum

Entanglement Entropy
Entanglement Entropy

... completely and build the function which represents it. However, this is not always feasible. For instance, in an electron-target scattering experiment we use the electron wave function to compute the cross section of the process; while if we want to estimate it experimentally, an electron beam –made ...
Smooth Tradeoffs between Insert and Query Complexity in
Smooth Tradeoffs between Insert and Query Complexity in

... Õ(N 1/(1−2.06/c) ) space and polylogarithmic query time. ...
Phase Shifting of an Interferometer using Nonlocal Quantum-State Correlations
Phase Shifting of an Interferometer using Nonlocal Quantum-State Correlations

Sombrero Adiabatic Quantum Computation
Sombrero Adiabatic Quantum Computation

... Why starting with an initial guess instead of uniform superposition? In addition to random choices for the initial guess (a good idea if less computational power is to be invested), there are many ways to make an educated guess of a solution: 1) One could use physical intuition or constraints impose ...
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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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