The experimental implementation of continuous variable quantum teleportation [1,2] makes use of a rather more complicated protocol than is employed in the standard theoretical analysis [3,4]. The principal differences are two-fold: (1) the squeezed light is broadband rather than single mode, and (2) Alice's measurements, the dispersal of her measurement results to Bob, and Victor's verification are all carried out in parallel, continuously in time, rather than in a discrete and sequential fashion. It is usual, furthermore, for the theoretical analysis to equate Alice's measurement results with quadrature amplitudes of the field in the Wigner representation, while more fundamentally one would wish to distinguish measured values from the variables of the quantum state. In this talk I present a theoretical treatment of continuous variable quantum teleportation as it has been realized in experiments. The evolution of the entire system is formulated as a quantum trajectory, which includes: (1) continuous generation of broadband squeezed light, (2) continuous measurements by Alice and Victor and continuous dispersal of the Alice's measurement results to Bob, and (3) photocurrents and photocounts realized as classical measurement records (time series of real numbers), explicitly distinguished from quantum operators and quantum states. Stochastic Schroedinger equations are developed to deal with filtered homodyne, heterodyne, and photoelectron counting measurements by Victor. A Monte-Carlo implementation of the formalism is verified for teleportation of the vacuum of the electromagnetic field, where a simple alternate method of calculation is provided by stochastic electrodynamics [5]. To illustrate the teleportation of a more substantial quantum field, the output field in resonance fluorescence is presented to the teleporter input. Teleportation of both the first- and second-order statistics of resonance fluorescence is considered.

[1] A. Furusawa et al. Nature 282, 706 (1998).
[2] W. P.Bowen et al. Phys. Rev. A 67, 032302 (2003).
[3] L. Vaidman, Phys. Rev. A 49, 1473 (1994).
[4] S. L. Braunstein and H. J. Kimble, Phys. Rev. Lett. 80, 869 (1998).
[5] H. J. Carmichael and Hyunchul Nha, ``Continuous Variable Teleportation within Stochastic Electrodynamics,'' in Laser Spectroscopy, eds. P. Hannaford, A. Sidorov, H. Bachor, and K. Baldwin (World Scientific, Singapore, 2004) pp. 324-33.

Contact: Luis A. Orozco.