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Journal of Modern Optics Volume 43, 1996 - Issue 6
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Paper

Photon statistics of conditional output states of lossless beam splitter

Masashi Ban Advanced Research Laboratory, Hitachi Ltd., Hatoyama, Saitama, 350-03, Japan
Pages 1281-1303 | Received 30 Oct 1995, Accepted 28 Dec 1995, Published online: 03 Jul 2009
 
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Abstract

When an observation is carried out at one of the two output ports of a lossless beam splitter, photon statistics of a conditional output state in the unobserved output port are investigated for several input states. Observations at the output port are carried out by means of photon counting, heterodyne detection and homodyne detection. The dependence of the average value of the photon number and the Q factor of the conditional output state on the measurement outcome are investigated in detail. The statistical distance between the input and conditional output states is also considered. Furthermore, it is shown that the relationship between the input and conditional output states of the beam splitter is characterized as a conditional isometric process.

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