Revivals of Bell nonlocality require non-Markovianity in both Schrödinger and Heisenberg pictures.
Optimal state pairs for non-Markovian quantum dynamics
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abstract
We study a recently proposed measure for the quantification of quantum non-Markovianity in the dynamics of open systems which is based on the exchange of information between the open system and its environment. This measure relates the degree of memory effects to certain optimal initial state pairs featuring a maximal flow of information from the environment back to the open system. We rigorously prove that the states of these optimal pairs must lie on the boundary of the space of physical states and that they must be orthogonal. This implies that quantum memory effects are maximal for states which are initially distinguishable with certainty, having a maximal information content. Moreover, we construct an explicit example which demonstrates that optimal quantum states need not be pure states.
fields
quant-ph 2years
2026 2verdicts
UNVERDICTED 2representative 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.
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Revivals of Bell nonlocality require Schr\"odinger and Heisenberg non-Markovianity
Revivals of Bell nonlocality require non-Markovianity in both Schrödinger and Heisenberg pictures.
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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.