A sideways look at faithfulness for quantum correlations
- URL: http://arxiv.org/abs/2009.09750v1
- Date: Mon, 21 Sep 2020 10:42:50 GMT
- Title: A sideways look at faithfulness for quantum correlations
- Authors: Peter W. Evans
- Abstract summary: Wood and Spekkens argue that any causal model purporting to explain correlations must be fine tuned.
This paper is an attempt to undermine the reasonableness of the assumption of faithfulness in the quantum context.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Despite attempts to apply the lessons of causal modelling to the observed
correlations typical of entangled bipartite quantum systems, Wood and Spekkens
argue that any causal model purporting to explain these correlations must be
fine tuned; that is, it must violate the assumption of faithfulness. The
faithfulness assumption is a principle of parsimony, and the intuition behind
it is basic and compelling: when no statistical correlation exists between the
occurrences of a pair of events, we have no reason for supposing there to be a
causal connection between them. This paper is an attempt to undermine the
reasonableness of the assumption of faithfulness in the quantum context.
Employing a symmetry relation between an entangled bipartite quantum system and
a `sideways' quantum system consisting of a single photon passing sequentially
through two polarisers, I argue that Wood and Spekkens' analysis applies
equally to this sideways system. If this is correct, then the consequence
endorsed by Wood and Spekkens for an ordinary entangled quantum system amounts
to a rejection of a causal explanation in the sideways, single photon system,
too. Unless rejecting this causal explanation can be sufficiently justified,
then it looks as though the sideways system is fine tuned, and so a violation
of faithfulness in the ordinary entangled system may be more tolerable than
first thought. Thus extending the classical `no fine-tuning' principle of
parsimony to the quantum realm may well be too hasty.
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