Quantum Maxwell's demon assisted by non-Markovian effects

Stochastic Entropy Production: Fluctuation Relation and Irreversibility Mitigation in Non-unital Quantum Dynamics

“…whether they admit the specific Kraus form we considered). Among them, we mention quantum collision models [ 51 ] and quantum Maxwell’s demons [ 31 , 39 , 52 – 54 ] as both deal with repeated interactions with external agents (or just laser pulses) over time, making non-unital the dynamics of the quantum system. Furthermore, one might consider how the nonequilibrium potential changes by employing measurement schemes beyond TPM [ 55 – 59 ], so as to understand the role played by quantum coherence/correlation terms in the initial state.…”

Effects of non-Markovianity on daemonic ergotropy in the quantum switch

“…Physically, the environmental subsystem A might be a local subsystem of the larger heat bath that the main system Q interacts with. Hence, until subsystem A is equilibrated back to the thermal state by the larger heat bath, it can retain correlations or memory with the main system Q from previous interactions [43]. If we restrict the main system Q to interact only with this local subsystem A, and if the interaction timescale is shorter than the time it takes for subsystem A to equilibrate back to the thermal state, then the effective dynamics on the evolution of the main system Q is non-Markovian in general, where the evolution of Q does not evolve under CPTP maps for later time steps as we now have system-environment correlations between Q and A, i.e., the case in Eq.…”

Effects of non-Markovianity in quantum compositions of channels with indefinite causal order

“…Physically in the context of thermal operations, the environment subsystem 𝐴 might be a local subsystem of a larger heat bath that the main system 𝑄 interacts with. Hence, until subsystem 𝐴 is equilibrated back to the thermal state by the larger heat bath, it can retain correlations or memory with main system 𝑄 from previous interactions [122]. If we restrict main system 𝑄 to interacts only with this local subsystem 𝐴, and if the interaction timescale is shorter than the time it takes for subsystem 𝐴 to equilibrate back to the thermal state, then the effective dynamics on the evolution of main system 𝑄 is non-Markovian in general, where the evolution of 𝑄 does not evolve under CPTP maps for later time steps as we now have system-environment correlations between 𝑄 and 𝐴, i.e., the case in Eq.…”