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arXiv:quant-ph/0007026

Quantum Holographic Teleportation of Light Fields

I. V. Sokolov, Mikhail I. Kolobov, A. Gatti, L. A. Lugiato

Published Jul 10, 2000• 0 citations
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Abstract

We describe a continious variable teleportation scheme that allows to teleport the quantum state of distributed in space-time multimode electromagnetic field. Our teleportation protocol uses the spatially-multimode entangled Einstein-Podolsky-Rosen lihgt beams. We evaluate the "resolving power" of teleportation in space-time and specify the degrees of freedom of electromagnetic field whose quantum state can be effectively teleported. We call this scheme "quantum holographic teleportation" because it can be considered as an extension of conventional holography to quantum domain.

DOI
10.48550/arxiv.quant-ph/0007026

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We describe a continious variable teleportation scheme that allows to teleport the quantum state of distributed in space-time multimode electromagnetic field. Our teleportation protocol uses the spatially-multimode entangled Einstein-Podolsky-Rosen lihgt beams. We evaluate the "resolving power" of teleportation in space-time and specify the degrees of freedom of electromagnetic field whose quantum state can be effectively teleported. We call this scheme "quantum holographic teleportation" because it can be considered as an extension of conventional holography to quantum domain.
Summary form only given. The concept of quantum teleportation of continuous variables was suggested by Vaidman [see Phys. Rev. A, vol. 49, p. 1473, 1994]. The protocol for this kind of teleportation was elaborated and demonstrated experimentally by Kimble with collaborators [see Science, vol. 282, p. 706, 1998]. In this scheme the state being teleported is that of a single transverse mode of the electromagnetic field with finite frequency bandwidth. We describe the quantum teleportation scheme that allows one to teleport the quantum state of the wavefront of an electromagnetic wave. In other words we propose teleportation of the quantum state of a spatially multimode electromagnetic field.
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.
Quantum Teleportation is a hypothetical but logical application of Quantum Entanglement, which is basically a non-classical and strange phenomenon. It involves instantaneous communication between two very far situated particles through any non- perceivable link and can be considered to communicate more than the speed of light, and this fact holds the power to stand against Einstein’s General Theory of Relativity. Here the ‘Hidden Variable Theory’ comes into play, and there is a synchronisation between the variables in such a way that leads to their communication. But, whenever there is a simultaneous result from a particle in response to an event occurring on the other particle, it violates ‘The Principle of Locality’. Evidently, there has to be some connection through other spatial dimensions as predicted by the String Theory. It can also be true that, entangled particles take shortcuts for communication across universe which is generally referred to ‘Space-time Wormholes’. Magnetic wormholes have been created till date by manipulating electromagnetic fields, but Space time wormholes are yet to be discovered. Logically, such kind of wormholes can be created only by manipulating the mysterious ‘Gravitational Waves’ which possesses extraordinary characteristics of producing rhythmic but alternate expansion and compression in the Space-time fabric, of intensity equal to the frequency of the wave. As these waves create distortion in space-time fabric, it results in change in the speed of light with respect to time. So it might be possible that entangled particles communicate at a speed higher than that of light which is beyond perception. It might also be possible that the universe is ‘SuperDeterministic’.
We introduce and theoretically investigate a scheme for teleportation of two-frequency entangled optical images in which the quantum channel is formed by four-frequency multimode states, generated in a single nonlinear photonic crystal by coupled parametric interactions. We study in detail the performance of the scheme. Namely, we evaluate its fidelity and the spatial-frequency spectra of the quadrature components characterizing the deterioration of the entanglement in the initial images due to the teleportation process. We analyze the influence of the spatial bandwidth of entanglement on the fidelity of teleportation. We investigate the performance of the scheme both in the near and the far diffraction field. Our analysis suggests that bandwidth matching of the quantum channel field with that of the images is generally necessary for high-quality teleportation. We show that entangled images are more fragile and more difficult to teleport than their coherent counterparts.
A set of protocols for atoms-photons and atoms-atoms quantum state teleportation and swapping utilizing Einstein-Podolsky-Rosen light is proposed. The protocols work for polarization quantum states of multiphoton light pulses and macroscopic samples of atoms, i.e., for continuous quantum variables. A simple free space interaction of polarized light with a spin polarized atomic ensemble is shown to suffice for these protocols. Feasibility of experimental realization using gas samples of atoms is analyzed.