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The computational power of projective measurements

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To measure an observable of a quantum mechanical system leaves it in one of its eigenstates, while the result of the measurement will be one of its eigenvalues. This process is shown to be a computational resource: it becomes possible, in principle, to diagonalize finite Hermitean matrices by quantum mechanical measurements only. If the zeros of a polynomial are known to be real, then they can be found by a similar method.

This talk is part of the CQIF Seminar series.

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