Emergent non-Markovianity and dynamical quantification of the quantum switch

• URL: http://arxiv.org/abs/2307.01964v2
• Date: Fri, 26 Apr 2024 13:25:20 GMT
• Title: Emergent non-Markovianity and dynamical quantification of the quantum switch
• Authors: Vishal Anand, Ananda G. Maity, Subhadip Mitra, Samyadeb Bhattacharya,
• Abstract summary: We first analyse the loss of information in a general quantum evolution subjected to a quantum switch. We then derive an uncertainty relation between information loss and switch-induced memory. We identify that the switch-induced memory actually leads to the emergence of non-Markovianity.
• Score: 0.5230633875609849
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate the dynamical aspects of the quantum switch and find a particular form of quantum memory emerging out of the switch action. We first analyse the loss of information in a general quantum evolution subjected to a quantum switch and propose a measure to quantify the switch-induced memory. We then derive an uncertainty relation between information loss and switch-induced memory. We explicitly consider the example of depolarizing dynamics and show how it is affected by the action of a quantum switch. For a more detailed analysis, we consider both the control qubit and the final measurement on the control qubit as noisy and investigate the said uncertainty relation. Further, while deriving the Lindblad-type dynamics for the reduced operation of the switch action, we identify that the switch-induced memory actually leads to the emergence of non-Markovianity. Interestingly, we demonstrate that the emergent non-Markovianity can be explicitly attributed to the switch operation by comparing it with other standard measures of non-Markovianity. Our investigation thus paves the way forward to understanding the quantum switch as an emerging non-Markovian quantum memory.

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