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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Quantum trajectory theory of continuous variable teleportation

H. J. Carmichael

Published May 25, 2004• 2 citations
Publisher

Abstract

Quantum trajectory equations are formulated for continuous variable teleportation, which model the generation of finite bandwidth squeezed light, the homodyne measurements carried out by Alice, and take into account the continuous feed-forward of Alice's measurement results to Bob. The formulation is multi-mode and provides direct access to correlation functions of the output field detected by Victor. Three unravellings of the dynamics are considered, corresponding to Victor's choice of direct, homodyne, or heterodyne detection of the output field. Numerical results for the teleportation of a vacuum-state input field are presented.

DOI
10.1117/12.544934

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Quantum trajectory equations are formulated for continuous variable teleportation, which model the generation of finite bandwidth squeezed light, the homodyne measurements carried out by Alice, and take into account the continuous feed-forward of Alice's measurement results to Bob. The formulation is multi-mode and provides direct access to correlation functions of the output field detected by Victor. Three unravellings of the dynamics are considered, corresponding to Victor's choice of direct, homodyne, or heterodyne detection of the output field. Numerical results for the teleportation of a vacuum-state input field are presented.
Summary form only given. Quantum teleportation, first proposed as a method for teleporting an unknown spin-1/2 quantum state from a sender, "Alice", to a receiver, "Bob", has been extended to continuous-variable quantum teleportation (CVQT). In this variant of quantum teleportation, Bob and Alice share a nonlocal entangled two-mode field which, ideally, should have perfect correlations between in-phase quadrature ('position' x) and out-of-phase quadrature ('momentum' p), although the requirement of perfect correlations can be relaxed somewhat. The experimental success of CVQT has recently been reported, with two-mode squeezed light providing the nonlocal, entangled source shared between Alice and Bob. The objective here is to consider whether CVQT has indeed been achieved, or could ever be achieved, in optical experiments employing conventional laser sources. In particular we show that, in the context of this experiment, Alice and Bob may not employ independent laser sources for their operations if the state is to be teleported, yet this requires them to share more than just the Einstein-Podolsky-Rosen (EPR) resource.
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We develop a simple and efficient theoretical model to understand the quantum properties of broadband continuous variable quantum teleportation. We show that, if stated properly, the problem of multimode teleportation can be simplified to teleportation of a single effective mode that describes the input state temporal characteristic. Using that model, we show how the finite bandwidth of squeezing and external noise in the classical channel affect the output teleported quantum field. We choose an approach that is especially relevant for the case of non-Gaussian nonclassical quantum states and we finally back-test our model with recent experimental results.