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Communications in Theoretical Physics

Conditionally Teleported States Using Optical Squeezers and Photon Counting

Fan Hong-Yi, Fan Yue, Cheng Hai-Ling

Published Apr 15, 2002• 0 citations
Publisher

Abstract

By virtue of the neat expression of the two-mode squeezing operator in the Einstein, Podolsky and Rosen entangled state representation, we provide a new approach for discussing the teleportation scheme using optical squeezers and photon counting devices. We derive the explicit form of the teleported states, so that the conditional property of teleportation and teleportation fidelity of this protocol can be seen more clearly. The derivation is concise.

DOI
10.1088/0253-6102/37/4/409

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By virtue of the neat expression of the two-mode squeezing operator in the Einstein, Podolsky and Rosen entangled state representation, we provide a new approach for discussing the teleportation scheme using optical squeezers and photon counting devices. We derive the explicit form of the teleported states, so that the conditional property of teleportation and teleportation fidelity of this protocol can be seen more clearly. The derivation is concise.
We suggest a scheme of conditional teleportation of quantum states of optical fields using squeezers and photon counting. Alice feeds the mode whose state is desired to be teleported and one mode of a two-mode squeezed vacuum into a parametric amplifier, and detects output photon numbers. The result is then communicated to Bob, who shifts the photon number of his part accordingly. We show that for some classes of states the method can yield, with reasonable success probability, a teleportation fidelity close to unity. The method represents a modification of a recently proposed scheme [G. J. Milburn and S. L. Braunstein, Phys. Rev. A 60, 937 (1999)], where measurements of the photon-number difference and the phase sum are considered. The present scheme brings the method closer to the current experimental techniques.
We show, by making conditional measurements on the Einstein-Podolsky-Rosen (EPR) squeezed vacuum, that one can improve the efficacy of teleportation for both the position difference, momentum sum and number difference, phase sum continuous variable teleportation protocols. We investigate the relative abilities of the standard and conditional EPR states, and show that by conditioning we can improve the fidelity of teleportation of coherent states from below to above the Fˉ=2/3\bar{F} = 2/3Fˉ=2/3 boundary.
We show that by making conditional measurements on the Einstein-Podolsky-Rosen (EPR) squeezed vacuum [T. Opatrn\'y, G. Kurizki, and D.-G. Welsch, Phys. Rev. A 61, 032302 (2000)], one can improve the efficacy of teleportation for both the position-difference, momentum-sum, and number-difference, phase-sum continuous variable teleportation protocols. We investigate the relative abilities of the standard and conditional EPR states, and show that by conditioning we can improve the fidelity of teleportation of coherent states from below to above the F‾=2/3\overline{F}=2/3F=2/3 boundary, thereby achieving unambiguously quantum teleportation.