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The Hidden Subgroup Problem
The Hidden Subgroup Problem

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Q QUANTUM COHERENCE PROGRESS

... example, HV〉). A pure state means that the information about how the state was prepared is complete. A state is called mixed if some knowledge is lacking about the details of system preparation. For example, if the apparatus prepares either the ground state 0〉 or the first excited state 1〉 in a r ...
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... for possible error correction, for any given input state. In practice, it very convenient to dene some more specic criteria, such as the eciency η which is the ratio between the energies of the output and input states. Ideally, it should be the closest to one. However, some classical optical stor ...
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using standard syste - the Max Planck Institute for the Physics of

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Entanglement Entropy in a Triangular Billiard

A beginner`s guide to the modern theory of polarization
A beginner`s guide to the modern theory of polarization

... Well, if we were to repeat this exercise with many choices of unit cell (convince yourself by choosing a couple of arbitrary unit cells and giving it a try!), we would obtain many values of polarization, with each value differing from the original value by an integer. We call this collection of pola ...
Ce document est le fruit d`un long travail approuvé par le jury de
Ce document est le fruit d`un long travail approuvé par le jury de

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Quantum computation and quantum information (PDF

... associate to any isolated physical system a complex vector space with an inner product defined on it, known as the state space of the system. Mathematically, such a vector space with an inner product is called a Hilbert space. At any given point in time, the system is completely described by its sta ...
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... In particular the FQHE exhibits a new type of order different from the classical or quantum orders that can be described by the paradigm of Landau’s symmetry breaking theory. This new type of order is robust upon local perturbations and cannot be described by a symmetry or a broken symmetry. In part ...
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... we distribute the δ’s symmetrically as above: { δ1 λq1 , δ1 λ̃q1 } and { δ2 λq2 , δ2 λ̃q2 }. By expanding the amplitude in δ1 and δ2 , we obtain various double-soft limits. In the consecutive soft limit — in contradistinction to the simultaneous double-soft limit to be discussed in the next section ...
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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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