Quantum state engineering using conditional measurement on a beam splitter
Abstract
State preparation via conditional output measurement on a beam splitter is studied, assuming the signal mode is mixed with a mode prepared in a Fock state and photon numbers are measured in one of the output channels. It is shown that the mode in the other output channel is prepared in either a photonsubtracted or a photonadded Jacobi polynomial state, depending upon the difference between the number of photons in the input Fock state and the number of photons in the output Fock state onto which it is projected. The properties of the conditional output states are studied for coherent and squeezed input states, and the probabilities of generating the states are calculated. Relations to other states, such as nearphotonnumber states and squeezedstateexcitations, are given and proposals are made for generating them by combining the scheme with others. Finally, effects of realistic photocounting and Fockstate preparation are discussed.
 Publication:

European Physical Journal D
 Pub Date:
 1998
 arXiv:
 arXiv:quantph/9803077
 Bibcode:
 1998EPJD....3..295D
 Keywords:

 42.50.Dv;
 03.65.Bz;
 Nonclassical states of the electromagnetic field including entangled photon states;
 quantum state engineering and measurements;
 Quantum Physics
 EPrint:
 8 figures using a4.sty