Conditional quantum-state transformation at a beam splitter

Abstract

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 Schrödinger-cat-like states. An extension to mixed states and imperfect detection is outlined.

7 Postscript figures, using Latex

References in corpus (5)

• Quantum Computing
• Schroedinger cat-like states by conditional measurements on a beam-splitter
• Generation of arbitrary quantum states of traveling fields
• Displaced and Squeezed Number States
• Photon-added state preparation via conditional measurement on a beam splitter

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