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Generalized Entropies
Generalized Entropies

... gives an expression for the classical capacity of a classical[29] or a quantum[30] channel, as well as its “reverse” capacity[31]. Additional applications can be found particularly in quantum cryptography (see, e.g., [8, 32, 33]). Smooth entropies also have operational interpretations within thermod ...
Quantum Connections
Quantum Connections

Excitation Energy  Dependence of  Fluorescence  Intermittency Nanocrystals in
Excitation Energy Dependence of Fluorescence Intermittency Nanocrystals in

... The quantum dots that we study here are created by colloidal chemical synthesis. A colloidal system is one in which particles remain dispersed in a medium, rather than dissolving or settling out . Chemical colloidal synthesis is characterized by low-energy input, in contrast to a high-energy input p ...
Quantum Biological Switch Based on Superradiance Transitions
Quantum Biological Switch Based on Superradiance Transitions

... Therefore, the whole system can act as a probability switch even in the presence of a strong different coupling between the two branches. How is this possible? Before explaining these results and their intrinsic quantum nature, we consider the “classical” behavior of this model. The classical dynamic ...
Strong-Disorder Fixed Point in the Dissipative Random Transverse-Field Ising Model
Strong-Disorder Fixed Point in the Dissipative Random Transverse-Field Ising Model

... temperature even far away from a quantum critical point, has received considerable attention recently [3–7]. This quantum Griffiths behavior is characteristic for quantum phase transitions described by an infinite randomness fixed point (IRFP) [8], which was shown to be relevant for many disordered ...
Edge diffraction in Monte Carlo ray tracing
Edge diffraction in Monte Carlo ray tracing

Quantum State Transfer via Noisy Photonic and Phononic Waveguides
Quantum State Transfer via Noisy Photonic and Phononic Waveguides

... superposition state to the second cavity as above [45]. (iii) We perform the time-inverse of step (i) in the second node. This QST protocol generalizes to several atoms as a quantum register representing an entangled state of qubits, which can either be transferred sequentially or mapped collectivel ...
Applied Superconductivity: Josephson Effects and Superconducting
Applied Superconductivity: Josephson Effects and Superconducting

art 1. Background Material
art 1. Background Material

... However, we still are left wondering what the equations are that can be applied to properly describe such motions and why the extra conditions are needed. It turns out that a new kind of equation based on combining wave and particle properties needed to be developed to address such issues. These ar ...
Powerpoint 7/20
Powerpoint 7/20

Complete Axiomatizations for Quantum Actions
Complete Axiomatizations for Quantum Actions

How to test the “quantumness” of a quantum computer? Miroslav Grajcar
How to test the “quantumness” of a quantum computer? Miroslav Grajcar

... the question of its role for universal adiabatic quantum computing, and its more limited versions (such as quantum optimization or approximate adiabatic quantum computing) is being debated (see, e.g., [24, 25]). Quantum coherence is certainly necessary, but on what scale, and for how long? There is ...
Non-Gaussianity of quantum states: an experimental test on single
Non-Gaussianity of quantum states: an experimental test on single

... squeezing operator adds only one photon on each arm, while by increasing r we have to consider also the possible addition of many photons. Due to the lack of photon number resolution, the detection will be affected by the presence of higher-number emission from the squeezing process, eq. (3). In thi ...
Creation of entangled states in coupled quantum dots via adiabatic... C. Creatore, R. T. Brierley, R. T. Phillips,
Creation of entangled states in coupled quantum dots via adiabatic... C. Creatore, R. T. Brierley, R. T. Phillips,

... The excited states of this subset include spatially entangled states that could be identified spectrally. The robustness of ARP, then, allows a pulse to be constructed that transfers these pairs into their entangled excited states, without exciting the others. Thus, as shown in Fig. 3, the entanglem ...
Physics Adiabatic Theorems for Dense Point Spectra*
Physics Adiabatic Theorems for Dense Point Spectra*

... σp(H(s)). After all, the point spectrum is dense and keeps moving. In fact, general principles for rank one perturbations tell us that for any real λ, there is at most one β = βc(λ) so that λ is an eigenvalue of Hβ. Thus, the real line is divided into three open intervals where the conditions that a ...
Equality of Column Vectors
Equality of Column Vectors

- Harish-Chandra Research Institute
- Harish-Chandra Research Institute

... 3. Multi-Partite Quantum Correlations Revel Frustration in a Quantum Ising Spin System. K. Rama Koteswara Rao, Hemant Katiyar, T.S. Mahesh, Aditi Sen (De), Ujjwal Sen and ...
Scattering theory
Scattering theory

... target is initially at rest while the projectiles are moving. Calculations of the cross sections are generally easier to perform within the center-of-mass (CM) frame in which the center of mass of the projectiles–target system is at rest (before and after collision)  one has to know how to transfor ...
Modified Schrödinger equation, its analysis and experimental
Modified Schrödinger equation, its analysis and experimental

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

... chemical potentials corresponding to each spin as given ...
3.3 The time-dependent Schrödinger equation
3.3 The time-dependent Schrödinger equation

Proposal for Translational Entanglement of Dipole
Proposal for Translational Entanglement of Dipole

Direct measurement of the effective charge in nonpolar suspensions
Direct measurement of the effective charge in nonpolar suspensions

... the radiation pressure from a laser beam focused to a near diffraction-limit spot (an ‘optical tweezer’) to trap single colloidal particles in a dilute suspension. The focused beam produces a harmonic potential for the trapped particle whose strength is proportional to the laser power. The hindered ...
Efficient Method to Perform Quantum Number Projection and
Efficient Method to Perform Quantum Number Projection and

... the (U, V ) amplitudes of the generalized Bogoliubov transformation.1) One of the reasons for this is that the sign of the norm overlap between general product-type wave functions can be precisely calculated by using their Thouless amplitudes.27) Moreover, as a vacuum state, with respect to which th ...
On the mean-field limit of bosons Coulomb two
On the mean-field limit of bosons Coulomb two

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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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