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International Journal of Modern Physics B

SWAPPING BETWEEN TWO PAIRS OF NONORTHOGONAL ENTANGLED COHERENT STATES

Hari Prakash, Naresh Chandra, R. PRAKASH, SHIVANI

Published Mar 30, 2009• 20 citations
Publisher

Abstract

We propose a scheme of swapping between two pairs of nonorthogonal entangled coherent states using a beam splitter, two phase shifters and photon counting measurements. We find that an almost perfect swapping is possible for an appreciable mean number of photons.
DOI
10.1142/s0217979209052042

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We propose a nearly perfect optical scheme for the quantum teleportation of entangled coherent states using optical devices such as nonlinear Kerr media, beam splitters, phase shifters, and photon detectors. Different from those previous schemes, our scheme needs only ``yes'' or `no' measurements of the photon number of the related modes, i.e. nonzero- and zero-photon measurements, while in previous schemes one has to exactly identify the even or odd parity character of the photon numbers detected by detectors.
In this paper, we propose an optical scheme to almost completely teleport a two-mode four-component entangled coherent state in terms of optical devices such as nonlinear Kerr media, beam splitters, phase shifters and photon detectors. Different from those previous schemes in which exact photon number discrimination is needed, in our scheme one only needs to make ‘yes’ and ‘no’ measurements upon the photon numbers in related modes. This scheme can also be understood as an entanglement swapping protocol.
We consider a scheme of swapping between two pairs of non-orthogonal entangled coherent states with our suggested modification [H. Prakash, N. Chandra, R. Prakash and Shivani, Int. J. Mod. Phys. B 23(8) (2009) 2083] and discuss effect of decoherence on fidelity in swapping. We find that for odd photon counts, MAF (minimum of the fidelity for any arbitrary information) decreases with increase in |α|2 for low noise but in case of high noise, it increases, attains a maximum value and then decreases with |α|2. However, for nonzero even photon counts, the case is reversed. For this case, MAF decreases with increase in |α|2 for high noise but in case of low noise, it increases, attains a maximum value and then decreases with |α|2. We discuss the variation of average fidelity with |α|2 and show that it depends appreciably on the information for low values of |α|2 only.