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Acta Sinica Quantum Optica

Complete Bell Measurement Based on the Quantum Teleportation

Pan Jian-wei

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

To completely distinguish the four Bell States is the key of Quantum teleportation.Now by insing linear optics methods,we can not perform complete Bell measurement.Based on the method of two photon quantum teleportation which uses Mach-Zehnder interferometer,we propose a scheme which can completely make the Bell measurement in the quantum teleportation experiment in upper dimension space.Through the introduction of the reference of beam we can stabilize the interferometer′s phase automatically.The scheme is used in the 16km free space quantum teleportation experiment.

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To completely distinguish the four Bell States is the key of Quantum teleportation.Now by insing linear optics methods,we can not perform complete Bell measurement.Based on the method of two photon quantum teleportation which uses Mach-Zehnder interferometer,we propose a scheme which can completely make the Bell measurement in the quantum teleportation experiment in upper dimension space.Through the introduction of the reference of beam we can stabilize the interferometer′s phase automatically.The scheme is used in the 16km free space quantum teleportation experiment.
By using the quantum teleportation protocol, Alice can send an unknown quantum state (e.g. the polarization of a single photon) to Bob without ever knowing about it. This paper discusses a quantum teleportation experiment in which nonlinear interactions are used for the Bell state measurement. Since the Bell state measurement is based on nonlinear interactions, all four Bell states can be distinguished. Therefore, teleportation of a polarization state can occur with certainty, in principle. Details of the theory and the experimental set-up are discussed.
We propose a simple experimental scheme in which an unknown two-qubit state is faithfully and deterministically teleported from Alice to Bob. The scheme is constructed with four photons from parametric down conversion, linear optical elements, and conventional photon detectors, all of which are available in current technology. It is shown that the probability of successful teleportation ideally reaches 100% based on single-photon two-qubit-assisted Bell-state measurement, which can distinguish all four Bell-states simultaneously via conventional photon detectors. By generalizing the scheme, the teleportation of an unknown multi-qubit system can also be realized.
In this paper, we present an efficient scheme for the complete analysis of the four-dimensional Bell state of the photon system in the path degree of freedom, resorting to the weak cross-Kerr nonlinearity and linear optics. In our scheme, the measurements on two probe coherent states are used for obtaining the bit information of high-dimensional entanglement, and the linear optical elements and single-photon detectors are used for obtaining the relative phase information of high-dimensional entanglement. With these two independent processes, the 16 orthogonal four-dimensional path Bell states can be completely distinguished from each other. This simple and realizable scheme may have useful applications in the quantum information technology based on high-dimensional entanglement.
Summary form only given. The idea of quantum teleportation is to utilize the nonlocal correlations between an Einstein-Podolsky-Rosen pair of particles to prepare a quantum system in some state, which is the exact replica of an arbitrary unknown state of a distant individual system. Three experiments in this direction were published recently. In this paper, we experimentally demonstrate a quantum teleportation scheme which satisfies all four of the above conditions. The input state is an arbitrary polarization state and the BSM can distinguish all four orthogonal Bell states so that the state has a 100% certainty to be teleported in principle. This is because the BSM is based on nonlinear interactions which are necessary and non-trivial physical processes for correlating the input state and the entangled EPR pair.