77 research outputs found
The Dynamical Nonlocality of Neutral Kaons and the Kaonic Quantum Eraser
Testing quantum foundations for systems in high energy physics gets currently
more and more attention e.g. witnessed for entangled neutral K-mesons by the
approved programme of the KLOE collaboration at the accelerator facility DAPHNE
(Frascati, Italy). We focus on this quantum system in high energy physics and
discuss two topics, Bell inequalities and the kaonic quantum eraser, and show
how the neutral kaon system differs from systems of ordinary matter and light.
In detail, we show a relation of the imbalance of matter and antimatter to the
violation of a Bell inequality and discuss another Bell inequality which is
maximally violated for a non-maximally entangled state though neutral kaons can
be considered as two state systems. We compare in general this system in high
energy physics with bipartite qudits. Last but not least we review the quantum
marking and eraser procedure and explain why neutral kaons offer more eraser
possibilities than usual quantum systems.Comment: 10 pages, 1 figures, to be published in AIP Conference Proceedings:
Advances in Quantum Theory, Vaexjoe 201
Newtonian Self-Gravitation in the Neutral Meson System
We derive the effect of the Schr\"odinger--Newton equation, which can be
considered as a non-relativistic limit of classical gravity, for a composite
quantum system in the regime of high energies. Such meson-antimeson systems
exhibit very unique properties, e.g. distinct masses due to strong and
electroweak interactions. We find conceptually different physical scenarios due
to lacking of a clear physical guiding principle which mass is the relevant one
and due to the fact that it is not clear how the flavor wave-function relates
to the spatial wave-function. There seems to be no principal contradiction.
However, a nonlinear extension of the Schr\"odinger equation in this manner
strongly depends on the relation between the flavor wave-function and spatial
wave-function and its particular shape. In opposition to the Continuous
Spontaneous Localization collapse models we find a change in the oscillating
behavior and not in the damping of the flavor oscillation.Comment: 10 pages, no figure
A Quantum Information Theoretic View On A Deep Quantum Neural Network
We discuss a quantum version of an artificial deep neural network where the
role of neurons is taken over by qubits and the role of weights is played by
unitaries. The role of the non-linear activation function is taken over by
subsequently tracing out layers (qubits) of the network. We study two examples
and discuss the learning from a quantum information theoretic point of view. In
detail, we show that the lower bound of the Heisenberg uncertainty relations is
defining the change of the gradient descent in the learning process. We raise
the question if the limit by Nature to two non-commuting observables,
quantified in the Heisenberg uncertainty relations, is ruling the optimization
of the quantum deep neural network. We find a negative answer.Comment: 8 pages, 5 figure
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