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Chinese Physics B

Teleportation of three-dimensional single particle state in noninertial frames

Q. D. Wu, Jing-Ji Wen, Xin Ji, Kyu-Hwang Yeon

Published Feb 1, 2014• 1 citation
Publisher

Abstract

Considering the spin degree of freedom of the Dirac field, we study the entanglement behavior of a different class of communication channel and teleportation of three-dimensional single particle state in noninertial frames. Numerical analysis shows that the communication channel in our scheme can offer enough distillable entanglement for the teleportation protocol. Moreover, the teleportation protocol could work well if Rob's acceleration is not very big, but the fidelity of the teleportation is still reduced due to the Unruh effect.

DOI
10.1088/1674-1056/23/2/020303

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Considering the spin degree of freedom of the Dirac field, we study the entanglement behavior of a different class of communication channel and teleportation of three-dimensional single particle state in noninertial frames. Numerical analysis shows that the communication channel in our scheme can offer enough distillable entanglement for the teleportation protocol. Moreover, the teleportation protocol could work well if Rob's acceleration is not very big, but the fidelity of the teleportation is still reduced due to the Unruh effect.
We investigate quantum teleportation between users located in noninertial frames and analyze how the acceleration can improve the fidelity of quantum teleportation between two relatively accelerating partners. We see that the fidelity increases with respect to the acceleration as a consequence of the Unruh effect. In our scheme, Alice and Rob initially share a special X\mathsf{X}X-type state, Alice stays stationary, while Rob is uniformly accelerated with respect to Alice. We additionally study the system-environment dynamics in the noninertial frames, i.e., the X\mathsf{X}X-type state shared between Alice and Rob interacts with the environment via amplitude damping channel. Our results demonstrate a monogamy relation of the fidelity with acceleration and amplitude damping channel, these result suggest that the fidelity of quantum teleportation cannot be enhanced simultaneously by both the acceleration and amplitude damping channel. Such a property may have potential applications in protecting the fidelity of quantum teleportation performed by observers in relative motion.
We have studied entanglement between two Dirac modes respectively observed by two independently accelerated observers. Due to Unruh effect, the entanglement degrades, but residual nonzero entanglement remains even when the accelerations of both observers are infinite. We have also investigated quantum teleportation using entangled Dirac modes, and calculated the fidelities in various cases. In general, the fidelity depends on the single-qubit state γ∣0⟩+δ∣1⟩γ|0\rangle +δ|1\rangleγ∣0⟩+δ∣1⟩ to be teleported, as well as which Bell state to use. In the limit that both accelerations are infinite, the average fidelity in using $|ϕ^\pm\rangle\equiv\frac{1}{2}(|00\rangle\pm |11\rangle) $ is 34\frac{3}{4}43​, while that in using $|ψ^\pm\rangle\equiv \frac{1}{2} (|01\rangle\pm |10\rangle) $ is 12+∣γ∣2∣δ∣2\frac{1}{2} + |γ|^2 |δ|^221​+∣γ∣2∣δ∣2.
A theoretical quantum teleportation protocol is suggested to teleport accelerated and nonaccelerated information over different classes of accelerated quantum channels. For the accelerated information, it is shown that the fidelity of the teleported state increases as the entanglement of the initial quantum channel increases. However, as the difference between the accelerations of the channel and the teleported state decreases, the fidelity of the teleported information increases. The fidelity of the nonaccelerated information increases as the entanglement of the initial quantum channel increases, while the accelerations of the quantum channel have a little effect. The possibility of sending quantum information over accelerated quantum channels is much better than sending classical information.
We may make three-particle entanglement using the source of three-particle W states. Put this particle entanglement down as quantum channel, and transfer information of Bell states measurement and von Neumann measurement using classical channel, the quantum teleportation net may then be realized. Based on this idea, we investigate the physical principle for building the quantum teleportation net using three-particle W states, find out the unitary transformation matrix for quantum teleportation of three-particle W states, and design a quantum teleportation net. We propose a scheme for quantum communications net and its protocol. If all stations work as schemed, quantum communications between any two stations may be realized.