The computational power of projective measurements
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If you have a question about this talk, please contact Steve Brierley.
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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