In this article, we present and discuss a board game called QTris that uses a concise set of rules to describe the quantum mechanics of nine qubits through the conceptual framework of preparation, operations, and measurement. Indeed, there is no quantum experiment on nine qubits that is not a game of QTris. Similarly, every game of QTris describes a quantum mechanical experiment. We show how, through its gameplay mechanics and strategies, QTris clearly emphasises the differences between statistical mixtures and coherent superpositions. As a result, the game mechanics of QTris provide an interpretation of quantum mechanics in the form of game strategies. This interpretation is clear-cut and free of metaphors.
We evaluate the non-equilibrium spin polarization induced by an applied electric field for a tight-binding model of electron states at oxides interfaces in LAO/STO heterostructures. By a combination of analytic and numerical approaches we investigate how the spin texture of the electron eigenstates due to the interplay of spin-orbit coupling and inversion asymmetry determines the sign of the induced spin polarization as a function of the chemical potential or band filling, both in the absence and presence of local disorder. With the latter, we find that the induced spin polarization evolves from a non monotonous behavior at zero temperature to a monotonous one at higher temperature. Our results may provide a sound framework for the interpretation of recent experiments.
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