  We show that using coherent, spatially resolved spectroscopy, complex hybrid
wave functions can be disentangled into the individual wave functions of the
individual emitters. This way, detailed information on the coupling of the
individual emitters, not available in far-field spectroscopy can be obtained.
The proposed quantum state tomography relies on the ability to selectively
excite each emitter individually by spatially localized pulses. Simulations of
coupled semiconductor Ga/InAs quantum dots, using light fields available in
current nanoplasmonics, show that even undesired resonances can be removed from
measured spectra. The method can also be applied to study the internal coupling
of pigments in photosythesis and artificial light harvesting.
