  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.
