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arXiv:quant-ph/0610143

Scheme for conditional generation of photon-added coherent state and optical entangled $W$ state

Yan Li, Hui Jing, Mingsheng Zhan

Published Oct 17, 2006• 0 citations
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Abstract

We propose a simple scheme to generate an arbitrary photon-added coherent state of a travelling optical field by using only a set of degenerate parametric amplifiers and single-photon detectors. Particularly, when the single-photon-added coherent state (SPACS) is observed by following, e.g., the novel technique of Zavatta \emph{$et al.$} (Science 306, 660 (2004)), we also obtain the generalized optical entangled $W$ state. Finally, a qualitative analysis of possible losses in our scheme is given.

DOI
10.48550/arxiv.quant-ph/0610143

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Scheme for conditional generation of photon-added coherent state and optical entangled WWW state
We propose a simple scheme to generate an arbitrary photon-added coherent state of a travelling optical field by using only a set of degenerate parametric amplifiers and single-photon detectors. Particularly, when the single-photon-added coherent state (SPACS) is observed by following, e.g., the novel technique of Zavatta \emph{etal.et al.etal.} (Science 306, 660 (2004)), we also obtain the generalized optical entangled WWW state. Finally, a qualitative analysis of possible losses in our scheme is given.
The single-photon-added coherent state (SPACS), as an intermediate classical-to-purely-quantum state, was first realized recently by Zavatta \emph{etal.et al.etal.} (Science 306, 660 (2004)). We show here that the success probability of their SPACS generation can be enhanced by a simple method which leads to simultaneous creations of a discrete-variable entangled state and a SPACS or even a hybrid-variable entangled SPACS in two different channels. The impacts of the input thermal noise are also analyzed.
We propose a feasible scheme based on the nonlinear Mach–Zehnder interferometer to realize the optical entanglement of a single-photon-added coherent state and show that, besides the Sanders entangled coherent state, the entangled single-photon-added coherent state also leads to new forms of hybrid entanglement of the quantum Fock state and the classical coherent state. We probe the essential difference between two types of hybrid entangled states. This hybrid entangled state provides a novel link between the discrete-variable and the continuous-variable entanglement in a natural way. Finally, we give a qualitative analysis of the losses in our scheme.
We show that a continuous range of nonclassical states of light can be generated using conditional measurements on the idler mode of an optical parametric amplifier. The output state is prepared by introducing a coherent state in the signal mode of the amplifier with a single photon in the idler mode, followed by a conditional measurement of a single photon in the output idler mode. By varying the gain of the amplifier, this approach can produce a coherent state, a photon-added state, a displaced number state, or a continuous range of other nonclassical states with intermediate properties. We note that this approach can generate a photon-added state even though the postselected amplifier does not add any photons to the signal or idler modes. The ability to generate a continuous range of nonclassical states may have practical applications in quantum information processing.
The entanglement between Gaussian entangled states can be increased by non-Gaussian operations. We design a new scheme, named coherent photon addition, which can coherently add one photon generated by a spontaneous parametric down-conversation process to Gaussian quadrature-entangled light pulses created by a non-degenerate optical parametric amplifier. This operation can increase the entanglement of input two-mode Gaussian states as an entanglement distillation, and provides us with a new method of non-Gaussian operation. This scheme can also help us to study the decoherence of adding one- to two-mode Gaussian states from coherent photon addition to normal photon addition.