Revivals of Bell nonlocality require non-Markovianity in both Schrödinger and Heisenberg pictures.
Incompatibility breaking quantum channels
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abstract
A typical bipartite quantum protocol, such as EPR-steering, relies on two quantum features, entanglement of states and incompatibility of measurements. Noise can delete both of these quantum features. In this work we study the behavior of incompatibility under noisy quantum channels. The starting point for our investigation is the observation that compatible measurements cannot become incompatible by the action of any channel. We focus our attention to channels which completely destroy the incompatibility of various relevant sets of measurements. We call such channels incompatibility breaking, in analogy to the concept of entanglement breaking channels. This notion is relevant especially for the understanding of noise-robustness of the local measurement resources for steering.
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.
citing papers explorer
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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.