Hidden Variables: Value and Expectation No-Go Theorems
Yuri Gurevich, Microsoft Research
Time: Tuesday October 6, 11AM
Place: Kiva, 32-G449
Host: Scott Aaronson
No-go theorems assert that hidden-variable theories, subject to appropriate
hypotheses, cannot reproduce the predictions of quantum theory. We examine
two species of such theorems, value no-go theorems and expectation no-go
theorems. The former assert that hidden-variables cannot match the
predictions of quantum theory about the possible values resulting from
measurements; the latter assert that hidden-variables cannot match the
predictions of quantum theory about the expectation values of measurements.
We sharpen the known results of both species, which allows us to clarify
the similarities and differences between the two species. We also repair
some flaws in existing definitions and proofs. This is joint work with
Andreas Blass of the University of Michigan. The paper can be found at
arXiv:1509.06896.
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