  We study the Bell's inequality violation by dynamical Casimir radiation with
pseudospin measurement. We consider a circuit quantum electrodynamical set-up
where a relativistically moving mirror is simulated by variable external
magnetic flux in a SQUID terminating a superconducting-microwave waveguide. We
analytically obtain expectation values of the Bell operator optimized with
respect to channel orientations, in terms of the system parameters. We consider
the effects of local noise in the microwave field modes, asymmetry between the
field modes resulting from nonzero detuning, and signal loss. Our analysis
provides ranges of the above experimental parameters for which Bell violation
can be observed. We show that Bell violation can be observed in this set-up up
to 40 mK temperature as well as up to 65 % signal loss.
