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Scientific Reports

Quantum teleportation via a hybrid channel and investigation of its success probability

Seyed Mohammad Hosseiny, Jamileh Seyed‐Yazdi, Milad Norouzi

Published Oct 29, 2024• 11 citations
Publisher

Abstract

Quantum teleportation enables the transfer of quantum states across any distance and plays a prominent role in quantum communication. In this paper, we theoretically investigate the feasibility of quantum two-qubit teleportation through a hybrid channel consisting of thermal, magnetic, and local components. To study this process, we check the success probability of quantum teleportation and address the quality of the teleported quantum state using fidelity and average fidelity concepts. Furthermore, we examine a crucial quantum aspect of the system, such as the non-Markovianity of the dynamics, by utilizing success probability witness related to the teleported state. Our findings show that this hybrid channel has a good potential to be successful in quantum teleportation.

DOI
10.1038/s41598-024-76220-4

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Quantum teleportation enables the transfer of quantum states across any distance and plays a prominent role in quantum communication. In this paper, we theoretically investigate the feasibility of quantum two-qubit teleportation through a hybrid channel consisting of thermal, magnetic, and local components. To study this process, we check the success probability of quantum teleportation and address the quality of the teleported quantum state using fidelity and average fidelity concepts. Furthermore, we examine a crucial quantum aspect of the system, such as the non-Markovianity of the dynamics, by utilizing success probability witness related to the teleported state. Our findings show that this hybrid channel has a good potential to be successful in quantum teleportation.
ABSTRACT In this research, we explore a novel hybrid channel architecture for preserving entanglement, specifically tailored for quantum communication applications. Our design incorporates a coupled multifluxonium system, consisting of two fluxonium qubits interconnected through capacitive coupling, considering the intricate dynamics of quantum properties. The hybrid channel exhibits a unique composition, featuring both thermal and local components, which dynamically evolve over time. To evaluate its performance, we employ a comprehensive set of metrics, including quantum statistical speeds (quantum Fisher information and Hilbert–Schmidt speed), fidelity, average fidelity, relative entropy of entanglement, Bures distance, and Von Neumann entropy. These measures provide a thorough understanding of the channel's effectiveness in transmitting quantum states. Our findings reveal that this hybrid channel achieves maximum entanglement and mixedness of the states, showcasing its exceptional capability for successful quantum state transmission. This breakthrough holds immense potential for advancing quantum communication and computing technologies. This study contributes to the development of robust quantum information processing systems, paving the way for future advancements in the field. We also describe a practical implementation of quantum teleportation based on the current channel via quantum state tomography.
Implementing of high efficiency quantum teleportation protocols is in the key task for development of accessible and secure quantum communication. For a successful quantum teleportation two conditions should be satisfied: fidelity of teleportation greater then 1/2 for pure states and the existence of the entanglement between resource state modes during all teleportation process. Quantum teleportation using Gaussian states is a perspective direction because they can be easily implemented and manipulated using laser radiation. The simplest case for the continuous variable quantum teleportation represent teleportation of a pure state. However the thermal noise cannot be eliminated from the system, and the thermal component should be taken into account. In this work we put in evidence how the increase of average thermal photon number influence the fidelity of teleportation of a Gaussian state. We use Lindblad master equation and covariance matrix formalism to describe the temporal evolution of studied system and to put in evidence dependence of the fidelity of teleportation on the environment conditions and resource state parameters. As well we calculated the entanglement between the resource state modes to check if all conditions for a successful teleportation are satisfied.
Abstract This study discusses the one-way quantum teleportation of 2 qubits through a 4-qubit Bell state channel that is subject to decoherence. Decoherence is one of the unavoidable effects of noise in the transmission process. In the case of quantum teleportation, noise has an impact on the channel, causing changes in its state due to noise. In the absence of noise, teleportation occurs in an ideal state, resulting in a fidelity value of 1, signifying successful information transfer in the ideal scenario. However, when examined in the presence of noise, fidelity is not equal to 1 due to the influence of noise factors and the coefficient of the transmitted state. These noise factors indicate the strength of the noise. The stronger the noise, the lower the fidelity becomes.
Quantum teleportation of the quantum correlated states via noisy channels is investigated. The noisy channels are realized by a couple of two-level atoms (qubits) embedded in a zero-temperature bosonic bath. The entanglement of the channels is provided by the interqubit interaction and/or through the memory of the environment. Especially for the case of noninteracting qubits, the resource of the teleportation can be supplied by the entangled state of the channel, which is provided by information backflow in the non-Markovian regime of the evolution. More non-Markovianity of the dynamics generates a higher amount of induced entanglement and hence enhances the quality of the quantum correlation teleportation process. When the degree of non-Markovianity of dynamics is sufficiently high, quantum teleportation, which is superior to classical communication, is achievable.
In this paper, the features of quantum teleportation of a maximally entangled input thermal state using a system, consisting of two qubits (spin-1/2) anisotropic XY Heisenberg model with Herring–Flicker coupling in the presence of a magnetic field, are discussed. So, we study the influence on the thermal entanglement of different physical parameters such as temperature [Formula: see text], magnetic field [Formula: see text], degree of anisotropy [Formula: see text] and distance [Formula: see text] between the two spins. The goal is to determine the conditions of use of the system as a good channel to promote quantum teleportation. The amount of output entanglement is quantified by the concurrence [Formula: see text], and the quality of teleportation is analyzed using the concept of fidelity [Formula: see text]. It is shown that [Formula: see text] presents a maximum at extremely low temperature for a large range of the parameter [Formula: see text]. Also, when we increase the temperature, we observe a dissipation of the appropriate range of [Formula: see text] and the decrease of the amplitude of [Formula: see text]. Besides, under an external magnetic field [Formula: see text], we show the appearance of quantum phase transitions with the entanglement vanishing when the condition [Formula: see text] is fulfilled, then the system can ensure the ideal communication transmission. Concerning the Ising model [Formula: see text] in the ground state, the output entanglement is nonzero only in the presence of the magnetic field [Formula: see text], and this model is useful for ensuring a distorted transmission. At finite temperature, the fidelity [Formula: see text] is less than the value 2/3, so that the system is useless as a quantum channel for providing quantum teleportation.
Quantum communication in the microwave regime is set to play an important role in distributed quantum computing and hybrid quantum networks. However, typical superconducting quantum circuits require millikelvin temperatures for operation, which poses a significant challenge for large-scale microwave quantum networks. Here, we present a solution to this challenge by demonstrating the successful quantum teleportation of microwave coherent states between two spatially separated dilution refrigerators over a thermal microwave channel in the temperature range up to 4 K. We distribute two-mode squeezed states over this noisy channel and employ the resulting quantum entanglement for quantum teleportation of coherent states with fidelities of 72.3±0.5% at 1 K and 59.9±2.5% at 4 K, exceeding the no-cloning and classical communication thresholds, respectively. We successfully model the teleportation protocol using a Gaussian operator formalism that includes losses and noise. Our analysis shows that the teleportation infidelity mainly stems from a parasitic heating of the cold quantum nodes due to the hot network connection. These results demonstrate the experimental feasibility of distributed superconducting architectures and motivate further investigations of noisy quantum networks in various frequency regimes.