Experimental Realization of Controlled Quantum Teleportation of Arbitrary Qubit States via Cluster States

Introduction 

 Quantum teleportation is a fascinating phenomenon that allows the transfer of quantum states from one location to another without physically transmitting the state itself. This concept, rooted in the principles of quantum entanglement and measurement, has immense implications for the future of quantum communication and computing. In a study, researchers have advanced this field by experimentally realizing controlled quantum teleportation of arbitrary qubit states using cluster states.

Controlled Quantum Teleportation

Controlled quantum teleportation is a sophisticated extension of the standard quantum teleportation protocol. It involves an additional party, the controller, who oversees and facilitates the teleportation process. This additional layer of control enhances the protocol's flexibility and efficiency, making it particularly suitable for complex quantum communication tasks.

The Research Objectives

The study presented in this paper introduces novel protocols for controlling the teleportation of two-qubit and three-qubit states. These protocols utilize five-qubit and seven-qubit cluster states as quantum channels, respectively. The main objectives of the research are:

  1. Development of Protocols: To design and implement protocols that control the teleportation of arbitrary quantum states via cluster states.
  2. Experimental Realization: To execute these protocols on IBM’s quantum computing platforms, specifically the IBM 16 Melbourne quantum computer and the IBM quantum simulator.
  3. Efficiency and Security Analysis: To assess the efficiency of the teleportation process and ensure the security of the protocols against potential attacks from the controller (Charlie).

Methodology

Protocol Design

The protocols involve Alice, who sends arbitrary qubit states to Bob through cluster states, with Charlie acting as the controller. The process can be broken down as follows:

  1. Preparation of Cluster States: Cluster states, which are entangled multi-qubit states, are prepared as quantum channels.
  2. Controlled Teleportation: Alice teleports her qubit states to Bob using these cluster states, while Charlie oversees and controls the process.
  3. State Recovery: Bob performs appropriate unitary operations to recover the original qubit states.

The efficiency of the teleportation process is maximized, with the study reporting a 100% efficiency in state recovery.

Experimental Implementation

The experimental realization of the protocols was conducted on two platforms:

  1. IBM 16 Melbourne Quantum Computer: A real quantum computer that allows for the implementation and testing of quantum circuits.
  2. IBM Quantum Simulator: A simulation tool used to model and verify the quantum circuits before actual implementation.

The fidelity of the protocols was calculated to ensure the accurate transmission of quantum states.

Results and Findings

  1. High Efficiency: The experimental results demonstrated a 100% efficiency in the teleportation of arbitrary two-qubit and three-qubit states.
  2. Reduced Communication Cost: The classical communication cost was significantly lower compared to previous protocols, enhancing the practicality of the teleportation process.
  3. Security Analysis: The protocols were analyzed to ensure security against attacks from the controller, Charlie. The results confirmed that the protocols are secure, ensuring the integrity of the teleportation process.

Conclusion

The experimental realization of controlled quantum teleportation protocols represents a significant milestone in quantum communication research. By leveraging cluster states and implementing these protocols on advanced quantum computing platforms, the study not only showcases the feasibility of controlled quantum teleportation but also paves the way for more complex quantum communication schemes.

This work contributes to the broader goal of developing efficient and secure quantum communication systems, which are crucial for the advancement of quantum technologies. The results underscore the potential of quantum teleportation as a powerful tool for future quantum networks and computing systems.

For a deeper dive into the details of this research, you can read the full paper here.

Read more here: https://bqblogs.blogspot.com/

Bikash's Quantum: https://sites.google.com/view/bikashsquantum

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