  We propose how to engineer the longitudinal coupling to accelerate the
measurement of a qubit longitudinally coupled to a cavity, motivated by the
concept of shortcuts to adiabaticity. Different modulations are inversely
designed from two methods of inverse engineering and counter-diabatic driving,
for achieving larger values of the signal-to-noise ratio (SNR) at nanosecond
scale. By comparison, we demonstrate that our protocols outperform the usual
periodic modulations on the pointer state separation and SNR. Finally, we show
a possible implementation considering state-of-the-art circuit quantum
electrodynamics architecture, estimating the minimal time allowed for the
measurement process.

Quantum Physics