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Horace P. Yuen, “On the Foundations of Quantum Key Distribution
Horace P. Yuen, “On the Foundations of Quantum Key Distribution

... in QKD systems, with the important consequence that there is no security parameter in QKD protocols that would render it arbitrarily secure for a fixed key rate. We will point out the incorrect step of subtracting leakEC to account for information leak due to error correction. Some common misconcept ...
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... total energy of the system, Eexact and the Hartree-Fock energies: Ecorr = Eexact − EHF . Correlation energies may be included by considering Slater determinants composed of orbitals which represent excited state contributions. This method of including unoccupied orbitals in the many body wave functi ...
How the Laws of Physics Lie
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... will be able to measure the flow of gas around the edge of the vanes. The molecules in Crookes's radiometer are invisible, and the tangential stresses are not the kinds of things one would have expected to see in the first place. Yet, like Everitt, I believe in both. I believe in them because I acce ...
Semiclassical Methods for Many-Body Systems
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... that are chaotic, any initial ensemble of points in phase space will eventually fill up phase space evenly. So it is clear chaos plays an important role in classical thermalization. Quantum thermalization is less well studied, but it makes sense to suggest by analogy that quantum chaos must play som ...
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Quantum Computing
Quantum Computing

... Quantum Cryptography) used 200 km of standard fibre optic cable to interconnect six locations across Vienna and the town of St Poelten located 69 km to the west. 5.SwissQuantum network, installed in the Geneva metropolitan area in March 2009, was to validate the reliability and robustness of QKD in ...
Document
Document

Quantum nonlocality
Quantum nonlocality

... However, let me also remark that, for physical systems associated to a pure state, there are (-many) complete sets of commuting observables such that the theory attaches probability 1 to precisely one of the collections of the possible outcomes. ...
Quantum Programming Languages: Survey and Bibliography
Quantum Programming Languages: Survey and Bibliography

A Classical-Light Attack on Energy-Time Entangled Quantum Key Distribution, and Countermeasures
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Atom-atom interactions in ultracold gases - cours en ligne CEL

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Microscopic quantum coherence in a photosynthetic-light

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Classical Cryptographic Protocols in a Quantum World
Classical Cryptographic Protocols in a Quantum World

... as functions of n, unless otherwise specified. A function f (n) is said to be negligible if f = o (n−c ) for any constant c, and negl (n) is used to denote an unspecified function that is negligible in n. We also use poly(n) to denote an unspecified function f (n) = O(nc ) for some constant c. Let X ...
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Delayed-choice gedanken experiments and their realizations

... In the language of quantum mechanics, the waveparticle duality is reflected by the superposition principle, i.e. the fact that individual systems are described by quantum states, which can be superpositions of different states with complex amplitudes. In a Young-type double-slit experiment, every qu ...
Green`s Function of an Infinite Slot Printed Between Two
Green`s Function of an Infinite Slot Printed Between 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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