Demonstrating multipartite entanglement of single-particle W states: linear optical schemes

Abstract

We present two linear optical schemes using nonideal photodetectors to demonstrate inseparability of W-type N-partite entangled states containing only a single photon. First, we show that the pairwise entanglement of arbitrary two modes chosen from N optical modes can be detected using the method proposed by Nha and Kim [Phys. Rev. A 74, 012317 (2006)], thereby suggesting the full inseparability among N parties. In particular, this scheme is found to succeed for any nonzero quantum efficiency of photodetectors. Second, we consider a quantum teleportation network using linear optics without auxiliary modes. The conditional teleportation can be optimized by a suitable choice of the transmittance of the beam splitter in the Bell measurement. Specifically, we identify the conditions under which maximum fidelity larger than classical bound 2/3 is achieved only in cooperation with other parties. We also investigate the case of on-off photodetectors that cannot discriminate the number of detected photons.

5.5 pages, 2 figures, published version with slight modifications

References in corpus (23)

• Separability Criterion for Density Matrices
• Three qubits can be entangled in two inequivalent ways
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Observation of three-photon Greenberger-Horne-Zeilinger entanglement
• Classification of mixed three-qubit states
• Multipartite entanglement for continuous variables: A quantum teleportation network
• On Bell measurements for teleportation
• Entanglement conditions for two-mode states
• Inseparability criteria for bipartite quantum states
• Methods for Reliable Teleportation
• Quantum-optical catalysis: generating "Schroedinger kittens" by means of linear optics
• |0>|1>+|1>|0>
• Generation of arbitrary quantum states of traveling fields
• Remote preparation of a single-mode photonic qubit by measuring field quadrature noise
• An experimental demonstration of single photon nonlocality
• Inseparability inequalities for higher-order moments for bipartite systems
• Quantum Teleportation and Bell's Inequality Using Single-Particle Entanglement
• Full characterization of a three-photon GHZ state using quantum state tomography
• Conditional generation of arbitrary single-mode quantum states of light by repeated photon subtractions
• Optical Fock-state synthesizer
• Entanglement criteria via the uncertainty relations in su(2) and su(1,1) algebra: detection of non-Gaussian entangled states
• Teleportation of a Zero-and One-photon Running Wave State by Projection Synthesis
• Optical qubit by conditional interferometry

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• Optimal local expansion of W states using linear optics and Fock states
• Quantifying non-Gaussianity of quantum-state correlation
• Photonic multipartite entanglement conversion using nonlocal operations
• Deterministic teleportation using single-photon entanglement as a resource
• Linear optical scheme to demonstrate genuine multipartite entanglement for single-particle W states
• Simple scheme for expanding a polarization-entangled W state by adding one photon
• Entanglement conditions for tripartite systems via indeterminacy relations