Exploring the Non-Markovian Dynamics in Depolarizing Maps
- URL: http://arxiv.org/abs/2403.04813v1
- Date: Thu, 7 Mar 2024 04:59:58 GMT
- Title: Exploring the Non-Markovian Dynamics in Depolarizing Maps
- Authors: Ali Abu-Nada and Subhashish Banerjee and Vivek Balasaheb Sabale
- Abstract summary: The study brings together the various ways to identify and quantify non-Markovianity.
The trajectories traced during evolution, demonstrate the loss of CP-divisibility and the emergence of non-Markovianity.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The non-Markovian depolarizing channel is explored from the perspective of
understanding its non-Markovian behaviour as well as the occurrence of
singularities. The study brings together the various ways to identify and
quantify non-Markovianity. This includes dynamical techniques such as quantum
information backflow witness, BLP, RHP and HCLA measures. In addition,
geometrical visualization of non-Markovian effects is presented using the
variation in the volume of accessible states during dynamical evolution.
Further, a trajectory-based visualization of the dynamical map, of the
depolarizing channel, within the parameter space is presented. The trajectories
traced during evolution, demonstrate the loss of CP-divisibility and the
emergence of non-Markovianity under systematic variations of the system
parameters.
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