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Photon-added state preparation via conditional measurement on a beam splitter

M. Dakna·L. Knoll·D. -G. Welsch
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Abstract

We show that conditional output measurement on a beam splitter may be used to produce photon-added states for a large class of signal-mode quantum states, such as thermal states, coherent states, squeezed states, displaced photon-number states, and coherent phase states. Combining a mode prepared in such a state and a mode prepared in a photon-number state, the state of the mode in one of the output channels of the beam splitter ``collapses'' to a photon-added state, provided that no photons are detected in the other output channel. We present analytical and numerical results, with special emphasis on photon-added coherent and squeezed vacuum states. In particular, we show that adding photons to a squeezed vacuum yields superpositions of quantum states which show all the typical features of Schrödinger-cat-like states.

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M. Dakna, L. Knoll, D. -G. Welsch. 1997-03-21. Photon-added state preparation via conditional measurement on a beam splitter. https://doi.org/10.1016/s0030-4018(97)00463-x

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