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The Rochester Conferences on Coherence and Quantum Optics and the Quantum Information and Measurement meeting

Conditional Displacement Operator for Traveling Modes

S. Souza, Ardiley Torres Avelar, B. Baseia, J. M. C. Malbouisson

Published Jan 1, 2007• 0 citations
Publisher

Abstract

We propose a scheme to implement the action of the conditional displacement operator upon an arbitrary state of a traveling mode. Applications to generation of states and measurement of Wigner functions are also considered.
DOI
10.1364/cqo.2007.jwc14

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The generation of arbitrary single-mode quantum states from the vacuum by alternate coherent displacement and photon adding as well as the measurement of the overlap of a signal with an arbitrarily chosen quantum state are studied. With regard to implementations, the transformation of the quantum state of a traveling optical field at an array of beam splitters is considered, using conditional measurement. Allowing for arbitrary quantum states of both the input reference modes and the output reference modes on which the measurements are performed, the setup is described within the concept of two-port non-unitary transformation, and the overall non-unitary transformation operator is derived. It is shown to be a product of operators, where each operator is assigned to one of the beam splitters and can be expressed in terms of an s-ordered operator product, with s being determined by the beam splitter transmittance or reflectance. As an example we discuss the generation of and overlap measurement with Schroedinger-cat-like states.