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We defined quantum amplitudes on a curvilinear space of precisely fixed end points.
One person's trapped ion is another's electrostatically defined quantum dot.
In any case, one can model the same conceptual situation in other cases that are clearly well defined quantum mechanically (see Section 3.1).
Here we develop a general framework for defining quantum mechanical probability amplitudes.
In Chapter 2, I define quantum Kripke frames, the protagonists of this thesis.
He defines quantum gates, considers the speed of quantum algorithms, and describes the building of quantum computers.
Narrow constrictions define quantum point contacts that are capacitively controlled via local in-plane side gates.
This means that we define quantum homogeneous spaces as C∗-algebras and that we prove Morita equivalence of crossed products and homogeneous spaces.
I will discuss the ambient geometry present in this construction, use it to define quantum resonances for the Laplacian acting on natural tensor bundles (forms, symmetric tensors), and mention an application showing a correspondence between Ruelle resonances and quantum resonances on convex cocompact hyperbolic manifolds.
Thus, we may define quantum fundamentalism to be the position holding that everything in the world is essentially quantized and that the quantum theory gives us a literal description of this nature.
Here we demonstrate an all-electrical QND measurement of a single electron spin in a gate-defined quantum dot.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com