Revealing quantum contextuality using a single measurement device
- URL: http://arxiv.org/abs/2102.00410v3
- Date: Wed, 4 Jan 2023 06:45:34 GMT
- Title: Revealing quantum contextuality using a single measurement device
- Authors: Jaskaran Singh and Rajendra Singh Bhati and Arvind
- Abstract summary: We show that any non-contextual ontological model fails to explain the statistics of outcomes of a single carefully constructed positive operator valued measure executed sequentially on a quantum system.
We develop an inequality from the non-contextual (NC) ontic model, and construct a quantum situation involving measurements from the KCBS inequality.
- Score: 4.291616110077346
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In this work we analyse the notion of measurement non-contextuality (MNC) and
identify contextual scenarios which involve sequential measurements of only a
single measurement device. We show that any non-contextual ontological model
fails to explain the statistics of outcomes of a single carefully constructed
positive operator valued measure (POVM) executed sequentially on a quantum
system. The context of measurement arises from the different configurations in
which the device can be used. We develop an inequality from the non-contextual
(NC) ontic model, and construct a quantum situation involving measurements from
the KCBS inequality. We show that the resultant statistics arising from this
device violate our NC inequality. This device can be generalised by
incorporating measurements from arbitrary $n$-cycle contextuality inequalities
of which $n = 5$ corresponds to the KCBS inequality. We show that the NC and
quantum bounds for various scenarios can be derived more easily using only the
functional relationships between the outcomes for larger values $n$. This makes
it one of the simpler contextual inequalities to analyse.
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