Revivals of Bell nonlocality require non-Markovianity in both Schrödinger and Heisenberg pictures.
Measure for the Non-Markovianity of Quantum Processes
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abstract
Recently, a measure for the non-Markovian behavior of quantum processes in open systems has been developed which is based on the quantification of the flow of information between the open system and its environment [Phys. Rev. Lett. 103, 210401 (2009)]. The information flow is connected to the rate of change of the trace distance between quantum states which can be interpreted in terms of the distinguishability of these states. Here, we elaborate the mathematical details of this theory, present applications to specific physical models, and discuss further theoretical and experimental implications, as well as relations to alternative approaches proposed recently.
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UNVERDICTED 3representative citing papers
Schrödinger and Heisenberg non-Markovianity are inequivalent, with some quantum tasks requiring memory in both pictures and others in only one, plus necessary conditions detectable from one picture.
The paper introduces a general framework extending piecewise-deterministic unravelings to arbitrary trace-nonpreserving master equations requiring only positivity and Hermiticity of the dynamics.
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Stochastic unravelings for Heisenberg picture and trace-nonpreserving dynamics
The paper introduces a general framework extending piecewise-deterministic unravelings to arbitrary trace-nonpreserving master equations requiring only positivity and Hermiticity of the dynamics.