Quantum Tomography with Phase Space Measurements

TL;DRAbstract

This thesis addresses the use of covariant phase space observables in quantum
\ntomography. Necessary and sufficient conditions for the informational completeness
\nof covariant phase space observables are proved, and some state
\nreconstruction formulae are derived. Different measurement schemes for measuring
\nphase space observables are considered. Special emphasis is given to the
\nquantum optical eight-port homodyne detection scheme and, in particular, on
\nthe effect of non-unit detector efficiencies on the measured observable. It is
\nshown that the informational completeness of the observable does not depend
\non the efficiencies.
\n
\nAs a related problem, the possibility of reconstructing the position and
\nmomentum distributions from the marginal statistics of a phase space observable
\nis considered. It is shown that informational completeness for the phase space
\nobservable is neither necessary nor sufficient for this pr

Chat with Paper

AI Agents for this Paper