Using classical probability to guarantee properties of infinite quantum sequences
Jun, 1995Citations per year
Abstract:
We consider the product of infinitely many copies of a spin- system. We construct projection operators on the corresponding nonseparable Hilbert space which measure whether the outcome of an infinite sequence of measurements has any specified property. In many cases, product states are eigenstates of the projections, and therefore the result of measuring the property is determined. Thus we obtain a nonprobabilistic quantum analogue to the law of large numbers, the randomness property, and all other familiar almost-sure theorems of classical probability.Note:
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