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International Journal of Quantum Information

LINEAR OPTICAL PROTOCOL FOR GENERATION OF W STATE WITHIN A NETWORK

Pei-Min Lu, Yan Xia, Jie Song, He‐Shan Song

Published Oct 1, 2010• 2 citations
Publisher

Abstract

We demonstrate a linear optical protocol to generate W state in terms of optical elements within a network. The proposed setup involves simple linear optical elements, N-photon polarization entangled state, and conventional photon detectors that only distinguish the vacuum and nonvacuum Fock number states. We show that with local operations, single-photon measurement, and one way classical communication, the protocol can be successfully realized with a certain probability.

DOI
10.1142/s0219749910006721

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We demonstrate a linear optical protocol to generate W state in terms of optical elements within a network. The proposed setup involves simple linear optical elements, N-photon polarization entangled state, and conventional photon detectors that only distinguish the vacuum and nonvacuum Fock number states. We show that with local operations, single-photon measurement, and one way classical communication, the protocol can be successfully realized with a certain probability.
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A simple experimental scheme is proposed to generate a three-photon entangled WWW state and a genuine four-photon entangled state $|{\ensuremath{\chi}}^{00}⟩$ that has many interesting entanglement properties and possible applications in quantum information processing. These multipartite entangled states can be generated with a certain success probability. We show that even when the quantum efficiency of the detector is $\ensuremath{\eta}=0.75$, the success probability can reach $2.8\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}$ for WWW-state production and $3.0\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}9}$ for $|{\ensuremath{\chi}}^{00}⟩$-state production. The scheme is based only on simple linear optical elements and conventional photon detectors, which greatly decrease the experimental difficulty of implementing linear optical quantum computation.
We present a scheme to produce an entangled four-photon W state by using linear optical elements. The symmetrical setup of linear optical elements consists of four beam splitters, four polarization beam splitters, and four mirrors. A photon Einstein-Podolsky-Rosen pair and two single photons are required as the input modes. The projection on the W state can be made by a four-photon coincidence measurement. Further, we show that by means of a horizontally oriented polarizer in front of one detector, the W state of three photons can be generated.