Quantum state engineering using conditional measurement on a beam splitter
Max-Wien-Platz 1, 07743 Jena, Germany
Corresponding author: a email@example.com
Accepted: 8 May 1998
Published online: 15 September 1998
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 photon-subtracted or a photon-added 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 near-photon-number states and squeezed-state-excitations, are given and proposals are made for generating them by combining the scheme with others. Finally, effects of realistic photocounting and Fock-state preparation are discussed.
PACS: 42.50.Dv – Nonclassical field states; squeezed, antibunched, sub-Poissonian states; operational definitions of the phase of the field; phase measurements / 03.65.Bz – Foundations, theory of measurement, miscellanous theories
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998