Physics – Quantum Physics
Scientific paper
1998-11-24
Physics
Quantum Physics
7 Postscript figures, using Latex
Scientific paper
10.1088/1464-4266/1/3/306
Using conditional measurement on a beam splitter, we study the transformation of the quantum state of the signal mode within the concept of two-port non-unitary transformation. Allowing for arbitrary quantum states of both the input reference mode and the output reference mode on which the measurement is performed, we show that the non-unitary transformation operator can be given as an $s$-ordered operator product, where the value of $s$ is entirely determined by the absolute value of the beam splitter reflectance (or transmittance). The formalism generalizes previously obtained results that can be recovered by simple specification of the non-unitary transformation operator. As an application, we consider the generation of Schr\"odinger-cat-like states. An extension to mixed states and imperfect detection is outlined.
Clausen Jens
Dakna M.
Knoll Ludwig
Welsch Dirk-Gunnar
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