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Almost perfect teleportation of entangled coherent states

Shivani A. Kumar

Published Jun 25, 2013• 0 citations
OpenAlex

Abstract

We present a scheme of teleporting a superposition of coherent states | α〉 and | - α〉 giving success rate of almost unity and to obtain an almost perfect teleportation.

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In a recent paper N. Ba An (Phys. Rev. A68, 022321 (2003)) proposed a scheme to teleport a single particle state, which is superposition of coherent states |α〉 and |-α〉 using a 4-partite state, a beam splitter, and phase shifters and concluded that the probability for successful teleportation is only 1/4 in the limit |α| → 0 and 1/2 in the limit |α| → ∞. In this paper, we modify this scheme and find that an almost perfect success can be achieved if |α|2 is appreciable. For example, for |α|2 = 5, the minimum of average fidelity for teleportation, which is the minimum of sum of the product of probability for occurrence of any case and the corresponding fidelity evaluated for an arbitrary chosen information state, is 0.9999.
We propose a protocol for teleporting an unknown coherent-state superposition within a network consisting of 2N{2}^{N}2N parties with N an arbitrary positive integer. We show explicitly that for moderate and high intensity fields the probability of success is 50%, i.e. the same as in the case of N=1.N=1.N=1.
When a superposition $(|\ensuremath{\alpha}〉\ensuremath{-}|\ensuremath{-}\ensuremath{\alpha}〉)$ of two coherent states with opposite phase falls upon a 50-50 beam splitter, the resulting state is entangled. Remarkably, the amount of entanglement is exactly 1 ebit, irrespective of \ensuremath{\alpha}, as was recently discovered by Hirota and Sasaki [LANL e-print quant-ph/0101018]. Here we discuss decoherence properties of such states and give a simple protocol that teleports one qubit encoded in Schr\"odinger cat states.