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Advances in quantum chemistry

Jack Sabin, Scientist and Friend

Published Jan 1, 2022• 1 citation
Publisher
DOI
10.1016/s0065-3276(22)x0002-6

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In a recent paper, Żukowski and Markiewicz showed that Wigner's Friend (and, by extension, Schrödinger's Cat) can be eliminated as physical possibilities on purely logical grounds. I validate this result and demonstrate the source of the contradiction in a simple experiment in which a scientist S attempts to measure the position of object ∣O⟩=∣A⟩S+∣B⟩S|O\rangle = |A\rangle_S + |B\rangle_S∣O⟩=∣A⟩S​+∣B⟩S​ by using measuring device M chosen so that ∣A⟩M≈∣A⟩S|A\rangle_M \approx |A\rangle_S∣A⟩M​≈∣A⟩S​ and ∣B⟩M≈∣B⟩S|B\rangle_M \approx |B\rangle_S∣B⟩M​≈∣B⟩S​. I assume that the measurement occurs by quantum amplification without collapse, in which M can entangle with O in a way that remains reversible by S for some nonzero time period. This assumption implies that during this "reversible" time period, ∣A⟩M≠∣A⟩S|A\rangle_M \neq |A\rangle_S∣A⟩M​=∣A⟩S​ and ∣B⟩M≠∣B⟩S|B\rangle_M \neq |B\rangle_S∣B⟩M​=∣B⟩S​ -- i.e., the macroscopic pointer state to which M evolves is uncorrelated to the position of O relative to S. When the scientist finally observes the measuring device, its macroscopic pointer state is uncorrelated to the object in position ∣A⟩S|A\rangle_S∣A⟩S​ or ∣B⟩S|B\rangle_S∣B⟩S​, rendering the notion of "reversible measurement" a logical contradiction.
Before our publication of (Hess and Philipp, 2004), my inaugural paper for the National Academy of Sciences, Walter and I organized a meeting at the Beckman Institute of the University of Illinois to present all of our ideas and to discuss them with the experts. The meeting was a disappointment for me, because not many of the scientists who had criticized us came. Tony was present and discussed his opposing views. I do not remember any other discussions that we had not heard before, and the presentations that Walter and I gaveweremathematically too complex. Our adversaries did not like what we said; only our friends did. Andrei Khrennikov and also Louis Marchildon were present and very supportive.