Distrustful quantum steering
- URL: http://arxiv.org/abs/2308.15337v2
- Date: Thu, 26 Oct 2023 11:15:36 GMT
- Title: Distrustful quantum steering
- Authors: Shubhayan Sarkar
- Abstract summary: Quantum steering is an asymmetric form of quantum nonlocality where one can trust the measurements of one of the parties.
We show that even a small distrust on Alice might cause the parties to observe steerability even if the quantum state is unsteerable.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum steering is an asymmetric form of quantum nonlocality where one can
trust the measurements of one of the parties. In this work, inspired by
practical considerations we investigate the scenario if one can not fully trust
their measurement devices but only up to some precision. We first find the
effect of such an imprecision on standard device-dependent quantum tomography.
We then utilise this result to compute the variation in the local bound of any
general steering inequality depending on the amount of trust one puts in one of
the party's measurement devices. This is particularly important as we show that
even a small distrust on Alice might cause the parties to observe steerability
even if the quantum state is unsteerable. Furthermore, this effect becomes more
relevant when observing higher dimensional quantum steering.
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