https://doi.org/10.1140/epjd/s10053-021-00090-y
Regular Article - Quantum Information
Quantum temporal steering in a noise channel with topological characterization
Institute of Signal Processing & Transmission, Nanjing University of Posts and Telecommunication, 210003, Nanjing, China
Received:
19
December
2020
Accepted:
16
February
2021
Published online:
2
March
2021
We explore quantum temporal steering, measured by temporal steering robustness 
, in a quantum channel 
described by a qubit coupling to an extended anisotropic XY spin chain associated with non-trivial topological characterization. When the environment channel undergoes a topological quantum phase transition (TQPT), driven by magnetic field 
, we find that is remarkably depressed. Moreover, exhibits a finite-size scaling behavior in the vicinity of TQPT points. Meanwhile, by calculating the temporal steering robustness power 
, we can get the environment channel’s phase diagram which is exactly similar with the one obtained by topological quantity, i.e., winding number 
. Additionally, we also analyze the behaviors of when the environment channel is driven by other parameters (i.e., anisotropy of nearest-neighbor interaction 
, three-site interactions 
and anisotropy of three-site interactions 
). The results show that approaches to zero quickly in a short time t at all the TQPT points and can also highlight these points exactly for all driving parameters.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2021
