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.
Geometrical characterization of non-Markovianity
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abstract
We introduce a new tool for the quantitative characterisation of the departure form Markovianity of a given dynamical process. Our tool can be applied to a generic $N$-level system and extended straightforwardly to Gaussian continuous-variable systems. It is linked to the change of the volume of physical states that are dynamically accessible to a system and provides qualitative expectations in agreement with some of the analogous tools proposed so far. We illustrate its prediticve power by tackling a few canonical examples.
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quant-ph 1years
2026 1verdicts
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Schr\"odinger and Heisenberg non-Markovianity in quantum information tasks
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.