Temporal Steering in Four Dimensions with applications to coupled qubits and magnetoreception
Huan-Yu Ku, Shin-Liang Chen, Hong-Bin Chen, Neill Lambert, Yueh-Nan, Chen, and Franco Nori

TL;DR
This paper explores temporal steering in four-dimensional quantum systems, analyzing its dynamics and applications to a radical pair model of magnetoreception, revealing strong non-Markovian effects due to nuclear spin interactions.
Contribution
It introduces a detailed study of temporal steering robustness in four-dimensional systems and applies it to magnetoreception models, highlighting non-Markovian dynamics.
Findings
Strong non-Markovianity in radical pair model
Temporal steering robustness varies with system dynamics
Interactions with nuclear spins influence quantum correlations
Abstract
Einstein-Podolsky-Rosen (EPR) steering allows Alice to remotely prepare a state in some specific bases for Bob through her choice of measurements. The temporal analogue of EPR steering, temporal steering, also reveals the steerability of a single system between different times. Focusing on a four-dimensional system, here we investigate the dynamics of the temporal steering measures, the temporal steering robustness, using 5 mutually unbiased bases. As an example of an application, we use these measures to examine the temporal correlations in a radical pair model of magnetoreception. We find that, due to interactions with a static nuclear spin, the radical pair model exhibits strong non-Markovianity.
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