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Bidirectional quantum teleportation of even and odd coherent states through the multipartite Glauber coherent state: Theory and implementation (2306.00505v2)

Published 1 Jun 2023 in quant-ph

Abstract: Quantum teleportation has become a fundamental building block of quantum technologies, playing a vital role in the development of quantum communication networks. Here, we present a bidirectional quantum teleportation (BQT) protocol that enables even and odd coherent states to be transmitted and reconstructed over arbitrary distances in two directions. To this end, we employ the multipartite Glauber coherent state, comprising the Greenberger-Horne-Zeilinger, ground and Werner states, as a quantum resource linking distant partners Alice and Bob. The pairwise entanglement existing in symmetric and antisymmetric multipartite coherent states is explored, and by controlling the overlap and number of probes constructing various types of quantum channels, the teleportation efficiency of teleported states in both directions may be maximized. Besides, Alice's and Bob's trigger phases are estimated to explore their roles in our protocol using two kinds of quantum statistical speed referred to as quantum Fisher information (QFI) and Hilbert-Schmidt speed (HSS). Specifically, we show that the lower bound of the statistical estimation error, quantified by QFI and HSS, corresponds to the highest fidelity from Alice to Bob and conversely from Bob to Alice, and that the choice of the pre-shared quantum channel has a critical role in achieving high BQT efficiency. Finally, we show how to implement the suggested scheme on current experimental tools, where Alice can transfer her even coherent state to Bob, and at the same time, Bob can transfer his odd coherent state to Alice.

Citations (12)

Summary

  • The paper introduces a bidirectional teleportation protocol that leverages multipartite Glauber coherent states, optimizing efficiency by controlling state overlap and probe numbers.
  • It details entanglement measurement using concurrence and quantum statistical speed metrics, demonstrating how these factors directly impact teleportation fidelity.
  • The study validates the approach through Qiskit simulations, offering practical insights into experimental setups for robust quantum communication.

Overview of Bidirectional Quantum Teleportation Using Even and Odd Coherent States

This paper presents a paper on "Bidirectional quantum teleportation of even and odd coherent states through the multipartite Glauber coherent state: Theory and implementation." In this paper, the authors aim to develop a bidirectional quantum teleportation (BQT) protocol that allows for efficient transmission and reconstruction of quantum states across arbitrary distances in two directions. The protocol leverages multipartite Glauber coherent states as a quantum resource, particularly utilizing Greenberger-Horne-Zeilinger (GHZ), ground, and Werner states.

Key Findings and Analytical Insights

The research focuses on several critical aspects that contribute to the efficacy and implementation of the BQT protocol:

  1. Quantum Resource Utilization: The paper explores the use of multipartite Glauber coherent states for both symmetric and antisymmetric configurations as entangled resources. The findings suggest that controlling the overlap and the number of probes in constructing the quantum channels significantly optimizes the teleportation efficiency in both directions.
  2. Entanglement Measurement: A detailed analysis is provided regarding the entanglement properties of these states using the concurrence measure. The paper investigates how parameters like overlap and the number of constituent particles affect the degree of entanglement, which is essential for ensuring high teleportation fidelity.
  3. Quantum Statistical Speed: The research assesses the role of Alice's and Bob's trigger phases through quantum Fisher information (QFI) and Hilbert-Schmidt speed (HSS) metrics. These measures help to quantify the statistical estimation error bound and relate it to the teleportation fidelity. A notable observation is the inverse relationship between QFI and teleportation fidelity—the protocol achieves optimal fidelity when the QFI, correlating with parameter uncertainty, is minimized.
  4. Experimental Considerations: The authors outline an experimental setup using Qiskit to simulate the BQT protocol. This implementation tests the protocol under conditions that maximize fidelity and examine the influence of different parameters, similarly scaling for practical quantum computing environments.

Implications and Future Directions

The proposed protocol's implications lie both in practical applications for quantum communication networks and theoretical advancements in quantum teleportation studies. Practically, the ability to efficiently utilize multipartite coherent states enhances the robustness and reliability of quantum channels over long distances, a key requirement for quantum networking technologies. Theoretically, the insights into the interplay between quantum statistical speed measures and fidelity augment our understanding of parameter estimation and error bounds in quantum mechanics.

Conclusion

The research contributes valuable insights into the efficient transfer of quantum states using multipartite coherent states. Future endeavors may expand upon this methodology by integrating more complex quantum channels or exploring adaptive protocols in dynamically evolving quantum networks. Moreover, enhancing simulation and experimentation techniques could further refine the conditions under which high-fidelity teleportation can be universally applied, thereby advancing both our theoretical understanding and practical capabilities within the sphere of quantum communication.

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