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Spin Squeezing, Macrorealism and the Heisenberg uncertainty
Spin Squeezing, Macrorealism and the Heisenberg uncertainty

... preexisting properties of a system and can be in principle obtained with an arbitrarily small perturbation of the input state [21, 175]. Even more strikingly, as noted first by Einstein, Podolsky and Rosen in their seminal paper [52], quantum mechanics predicts effects that are in explicit tension w ...
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... Chapter 2. Basic concepts of quantum mechanics because they can not be distilled into a maximally entangled state. A region of bound entangled states in a two qutrit system is discussed in Sect.3.4. The Fig.2.1 shows a schematical picture of the PPT-criterion and its propositions for different dime ...
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... “Computing devices resembling the universal quantum computer can, in principle, be built and would have many remarkable properties not reproducible by any Turing machine.” Pic: www.physics.ox.ac.uk/al/people/Deutsch.htm ...
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... This operator (”R-matrix “) captures contributions of a single vertex to the partition function. Consider an (N + 1)-fold tensor product V0 ⊗ V1 ⊗ · · · ⊗ VN (Vi = V ) and let Rij be the operator acting on the Vi ⊗ Vj component of this product as R and as identity on any other Vl . ...
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... the last few decades. In order to be used in many different applications, sources of entanglement should satisfy several requirements as a high efficiency, broad tunability and compactness, and the possibility of integration with other optical components. The most common sources of entangled fields ...
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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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