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- W2910351427 abstract "We present a formalism for detection of non-Markovianity through uncertainty relations. We show that when there is an information back-flow to the system from its environment through CP-divisibility breaking, the Choi-states corresponding to the reduced system evolution contain at least one negative eigenvalue. The consequent break down of uncertainty relations for such states can be used to witness non-Markovian dynamics. We present some relevant examples of the phenomenon for qubit channels. We further prove that square of the variance of a suitable hermitian operator can act as a non-linear witness of non-Markovianity. We finally show that non-Markovianity is necessary in order to decrease the uncertainty of the states undergoing unital dynamics for qubits. This provides another method of certifying non-Markovianity." @default.
- W2910351427 created "2019-01-25" @default.
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- W2910351427 date "2020-04-06" @default.
- W2910351427 modified "2023-10-16" @default.
- W2910351427 title "Detecting non-Markovianity via uncertainty relations" @default.
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- W2910351427 doi "https://doi.org/10.1088/1751-8121/ab7135" @default.
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