I have a question regarding the Homodyne measurement, particularly measurement of the X quadrature. What exactly I get as an output when I perform
MeasureX? When we measure some operator using one shot, the current state collapses to one of the eigenstates giving as the output eigenvalue corresponding to that eigenstate. Using many shots entire spectrum of the eigenstates is probed, giving as the output probability distribution of each of the eigenstates. So, what exactly is the meaning of the real number that is produced as the output when
MeasureX is performed. Thanks in advance.