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Journal of Optics B Quantum and Semiclassical Optics

Quantum teleportation of single-mode thermal state of light field

Junxiang Zhang, Changde Xie, Kunchi Peng

Published Sep 30, 2005• 5 citations
Publisher

Abstract

The quantum teleportation of a single-mode thermal state of a light field is discussed using the projection synthesis technique in the Schrodinger picture. The statistical distance (SD) between the teleported input and output states is introduced to evaluate the efficiency of single-mode thermal state teleportation. For a given system and available entanglement, both the SD and classical boundary depend on the mean photon numbers of the teleported thermal light field. The dependences of the SD on the normalized classical gain, EPR (Einstein–Podolsky–Rosen) entanglement and mean photon numbers of the thermal field are calculated.

DOI
10.1088/1464-4266/7/11/001

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The quantum teleportation of a single-mode thermal state of a light field is discussed using the projection synthesis technique in the Schrodinger picture. The statistical distance (SD) between the teleported input and output states is introduced to evaluate the efficiency of single-mode thermal state teleportation. For a given system and available entanglement, both the SD and classical boundary depend on the mean photon numbers of the teleported thermal light field. The dependences of the SD on the normalized classical gain, EPR (Einstein–Podolsky–Rosen) entanglement and mean photon numbers of the thermal field are calculated.
The fidelity of quantum teleportation of a single-mode squeezed state of light is calculated based on the general theory of quantum-mechanical measurement in the Schrödinger picture. It is shown that the criterion for the nonclassical state teleportation is different from that for coherent state. F = 1/2 is no longer the rigorous boundary between classical and quantum teleportation for a squeezed state of light. When the quantum entanglement of an Einstein–Podolsky–Rosen (EPR) beam used for teleportation and the parameters of the system are given, the fidelity depends on the squeezing of the input squeezed state. The higher the squeezing is, the smaller the fidelity is, and the lower the classical limitation of fidelity is. The dependence of the optimum gain for teleporting a squeezed vacuum state upon the EPR entanglement is also calculated. The results obtained provide important references for designing experimental systems of teleporting a non-classical state and judging the quality of the teleported quantum state.
The properties of continuous-variable teleportation of single-photon states are investigated. The output state is different from the input state due to the nonmaximal entanglement in the Einstein–Podolsky–Rosen beams. The photon statistics of the teleportation output are determined, the correlation between the field information is obtained in the teleportation process, and the change in photon number is discussed. The results of the output photon statistics are applied to the transmission of a qubit encoded in the polarization of a single photon
The properties of continuous-variable teleportation of single-photon states are investigated. The output state is different from the input state due to the nonmaximal entanglement in the Einstein-Podolsky-Rosen beams. The photon statistics of the teleportation output are determined and the correlation between the field information \ensuremath{\beta} obtained in the teleportation process and the change in photon number is discussed. The results of the output photon statistics are applied to the transmission of a qubit encoded in the polarization of a single photon.
Quantum teleportation of one- and two-photon superposition states based on EPR entanglement of continuous-wave two-mode squeezed state is discussed. The fidelities of teleportation are deduced for two different input quantum states. The dependence of the fidelity on the parameters of EPR entanglement and the gain of the classical channels are shown numerically. Comparing with the teleportation of Fock state and coherent state, it is pointed out that for given EPR entanglement and classical gain, the higher the nonclassicality of the input state, the lower the accessible fidelity of teleportation.
Quantum teleportation of one- and two-photon superposition states based on EPR entanglement of continuous-wave two-mode squeezed state is discussed. The fidelities of teleportation axe deduced for two different input quantum states. The dependence of the fidelity on the parameters of EPR entanglement and the gain of the classical channels are shown numerically. Comparing with the teleportation of Fock state and coherent state, it is pointed out that for given EPR entanglement and classical gain, the higher the nonclassicality of the input state, the lower the accessible fidelity of teleportation.
Quantum teleportation is a method to transfer unknown quantum states to a distant place with an assist of quantum entanglement. Whole process of the teleportation can be described by a transfer-operator. It allows us to calculate the output state in the case of the teleportation using non-maximal entanglement. This method investigates the properties of some of the output states. The photon statistics of the teleportation output are determined and the correlation between the field information β obtained in the teleportation process and the change in photon number is discussed. The results of the output photon statistics are applied to the transmission of a qubit encoded in the polarization of a single-photon state.