  In recent years many works have explored possible advantages of indefinite
causal order, with the main focus on its controlled implementation known as
quantum switch. In this paper, we tackle advantages in quantum thermodynamics,
studying whether quantum switch is capable of activating a passive state:
either alone or with extra resources (active control state) and/or operations
(measurement of the control system). By disproving the first possibility and
confirming the second one, we show that quantum switch is not a thermodynamic
resource in the discussed context, though, it can facilitate work extraction
given external resources. We discuss our findings by considering specific
examples: a qubit system subject to rotations around the x and y axes in the
Bloch sphere, as well as general unitaries from the U(2) group; and the system
as a quantum harmonic oscillator with displacement operators, and with a
combination of displacement and squeeze operators.
