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Physical Review A

Confirming entanglement in continuous variable quantum teleportation

Sze Meng Tan

Published Oct 1, 1999• 114 citations
Publisher

Abstract

The teleportation of the signal beam of a parametric amplifier is considered, and its entanglement with the idler beam before and after the teleportation process is computed. A criterion based on homodyne measurements is proposed to discount purely classical effects, and it is suggested that the preservation of the Einstein-Podolsky-Rosen correlations during teleportation may be verified experimentally.

DOI
10.1103/physreva.60.2752

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The teleportation of the signal beam of a parametric amplifier is considered, and its entanglement with the idler beam before and after the teleportation process is computed. A criterion based on homodyne measurements is proposed to discount purely classical effects, and it is suggested that the preservation of the Einstein-Podolsky-Rosen correlations during teleportation may be verified experimentally.
The properties of continuous-variable teleportation of single-photon states are investigated. The output state is different from the input state due to the nonmaximal entanglement in the Einstein-Podolsky-Rosen beams. The photon statistics of the teleportation output are determined and the correlation between the field information \ensuremath{\beta} obtained in the teleportation process and the change in photon number is discussed. The results of the output photon statistics are applied to the transmission of a qubit encoded in the polarization of a single photon.
The properties of continuous-variable teleportation of single-photon states are investigated. The output state is different from the input state due to the nonmaximal entanglement in the Einstein–Podolsky–Rosen beams. The photon statistics of the teleportation output are determined, the correlation between the field information is obtained in the teleportation process, and the change in photon number is discussed. The results of the output photon statistics are applied to the transmission of a qubit encoded in the polarization of a single photon
We report recent developments in our experiment to teleport light beams by utilizing Einstein-Podolsky-Rosen (EPR) entanglement for continuous quantum variables. We describe details of our experimental apparatus, including the generation of EPR entanglement from squeezed states of light. In addition, we have developed an explicit model for the teleportation of coherent states that includes the effect of diverse loss factors and limited degrees of entanglement, and that enables us to project the possibilities for achieving yet higher fidelities beyond the currently achieved value of 62% with our apparatus. Propects for other teleportation schemes will also be discussed.
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.