Quantum Teleportation: Secure Remote Transfer of Quantum Information Explored

Quantum Teleportation: Secure Remote Transfer Of Quantum Information Explored

Quantum teleportation is a process that transmits quantum information, such as the exact state of an atom or photon, from one location to another using classical communication and quantum entanglement. This process, first proposed by Bennett et al., differs from classical information transfer and is based on the non-cloning theorem. Quantum Fisher Information (QFI) is used to evaluate the relevant parameters in quantum teleportation. Two versions of teleportation protocol, FTP and STP, have been studied, showing that atomic field parameters affect the fidelity of the teleported state and the amount of Fisher information encoded. Quantum teleportation could revolutionize communication and information processing.

What is Quantum Teleportation and How Does it Work?

Quantum teleportation is a process in which quantum information, such as the exact state of an atom or photon, can be transmitted from one location to another, with the help of classical communication and previously shared quantum entanglement between the sending and receiving location. This process was first proposed by Bennett et al. and has since seen many theoretical and experimental advancements. The aim of these protocols is to transfer an unknown quantum state remotely with complete security, a contrast to classical information theory.

The process of quantum teleportation relies on the non-cloning theorem, introduced by Wootters et al. in 1982, which states that it is impossible to clone or get an identical copy of an arbitrary quantum state. This theorem has been used to propose superluminal communication devices using quantum entanglement, a type of quantum correlation caused by nonlocal hidden variables. Entanglement, as defined by Schrodinger, is a physical phenomenon that occurs when a quantum state of two or more particles interact in such a way that the quantum state of each particle cannot be described independently of others.

How Does Quantum Teleportation Differ from Classical Information Transfer?

Quantum teleportation differs from classical information transfer in several ways. Firstly, quantum teleportation uses two types of channels: a quantum channel, which allows the transfer of an unknown state, and a classical channel, which helps to complete the communication. The quantum channel can be either a partially or a maximally Bell state entangled state. For the partially entangled state, it can be arrived at, for example, from an interaction between a 2-level atom with a single electromagnetic field.

The quality of the quantum information processing can be shown by measuring the so-called fidelity. Fidelity gives an idea about how close the final state is to the initial state, i.e., it measures the similarity between the unknown state and the final state at the end of the protocol. In quantum transmission, the total physical information encoded in a quantum state cannot always be transmitted, but only the relevant parameter information can be transmitted.

What is Quantum Fisher Information and How is it Relevant?

Quantum Fisher Information (QFI) is a quantifier that can be used to evaluate the relevant parameters in quantum teleportation. It is defined as the sensitivity of a quantum state with respect to changes in the relevant parameters encoded in this state. In other words, QFI is a quantifier of the precision parameter estimation. It can also be considered a good resource for detecting the entanglement between two particles, as it measures the quantitative information flow change between an open quantum state and its surrounding environment.

QFI has attracted the attention of many authors in order to evaluate the relevant parameters. For example, Zheng et al. investigated the dynamics of QFI for a two-qubit system where each qubit interacts with its own Markovian environment. Ozaydin quantified the QFI analytically for the W-state in the presence of different noisy channels. Metwally discussed the behavior of Fisher information for accelerated and pulsed systems.

What are the Different Protocols for Quantum Teleportation?

In the study conducted by K El anouz, A El Allati, and N Metwally, two versions of teleportation protocol are considered. In the first scheme, FTP, a single atomic field state is used as a quantum channel to perform the quantum teleportation protocol. In the second scheme, STP, two copies of the entangled atomic field state are used to achieve the teleportation protocol. It is shown that the atomic field parameters have the same effect on the behavior of the fidelity of the teleported state as well as on the amount of Fisher information that is encoded in the teleported state for both versions, FTP and STP.

What are the Implications of Quantum Teleportation?

The implications of quantum teleportation are vast, especially in the context of quantum communication and information theory. The ability to transfer an unknown quantum state remotely with complete security could revolutionize the way we communicate and process information. However, it’s important to note that the fidelity of teleporting classical information is much better than teleporting quantum information. Moreover, teleporting classical information that is initially encoded in an excited state is much better than that encoded in the ground states. However, the teleported Fisher information that is initially encoded in a ground state is much larger than those initially encoded in entangled states.

Publication details: “Teleportation two-qubit state by using two different protocols”
Publication Date: 2024-03-30
Authors: K. El Anouz, A. El Allati and N. Metwally
Source: arXiv (Cornell University)
DOI: https://doi.org/10.48550/arxiv.2404.00512