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Predictive approach to some quantum paradoxes

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Publication:6208435

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arXiv0802.2297MaRDI QIDQ6208435

Author name not available (Why is that?)

Publication date: 15 February 2008

Abstract: In classical probability theory, the best predictor of a future observation of a random variable

X,

is its expected value

E_{P} [X]

when no other information is available When information consisting in the observation of another random variable

Y

is available, then the best predictor of

X

is another random variable

E_{P} [X | Y] .

It is the purpose of this note to explore the analogue of this in the case of quantum mechanics. We shall see that exactly as in classical prediction theory, when the result of an observation is taken into account by means of a non-commutative conditional expectation, some of the usual paradoxes cease to be such.

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