PIRSA:03050009
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In defense of the epistemic view of quantum states Speaker(s): Robert Spekkens
Abstract: I present a toy theory that is based on a simple information-theoretic
principle, namely, that in a state of maximal knowledge, there is a balance
between one's knowledge and one's ignorance. The theory constitutes a local,
non-contextual hidden variable theory wherein the object analogous to the
quantum state is a probability distribution over the hidden variable. A wide
variety of quantum phenomena, typically deemed mysterious, have analogues
within the toy theory by the lights of which they appear intuitive. Such
phenomena include: the non-commutativity of measurements; interference; no
information gain without disturbance; the monogamy of entanglement; no
cloning; no broadcasting; the possibility of remote steering; teleportation
and dense coding; locally immeasurable product bases; and many others. The diversity and quality of the analogies with quantum theory provides compelling
evidence for the view that quantum states are states of knowledge rather than
states of reality. A consideration of the phenomena that the toy theory
fails to reproduce, notably, violations of Bell inequalities and the
existence of a Kochen-Specker theorem, provides clues for how to proceed with a research program wherein the epistemic interpretation of the
quantum state is the idea upon which one never compromises.
Date: 21/05/2003 - 3:45 pm
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