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CRC Press eBooks

Continuous-Variable Teleportation of Single-Photon States

Takayoshi Kobayashi

Published Oct 15, 2025• 0 citations
Publisher

Abstract

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

DOI
10.1201/9781003618997-12

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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.
The properties of continuous variable teleportation of single photon states are investigated. The output state is different from the input state due to the non-maximal entanglement in the EPR beams. 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 qbit encoded in the polarization of a single photon. 1
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.
Superpositions of two orthogonal single-photon polarization states are commonly used as optical qubits. If such qubits are sent by continuous variable quantum teleportation, the modifications of the qubit states due to imperfect entanglement cause an increase in the average photon number of the output state. This effect can be interpreted as an accidental quantum cloning of the single photon input. We analyze the output statistics of the single photon teleportation and derive the transfer and cloning fidelities from the equations of the polarization qubit.
In this work, we study the oscillations that appear in the photon statistics of a squeezed state in a process that allows teleportation of continuous spectrum variables. In some cases, comparisons are made with the theory of photodetection. The most remarkable result is observed when the fidelity of teleportation is optimized, in that case the teleported statistics is equal to the counting statistics of photoelectrons in non-ideal photocount measurements. We also determine the effect of one-photon subtraction from each arm of the Einstein?Podolsky?Rosen source to enhance the quality of the teleportation process.