In this paper, we want to present a simple and comprehensive method to implement teleportation of a system of N qubits and its discussion on the corresponding quantum circuit. The paper can be read for nonspecialists in quantum information.
Quantum teleportation is one of the most important protocols in quantum information, which is based on quantum entanglement. This paper provides an overview of the basic theory behind the original quantum teleportation protocol and explores its advanced variations. We validate these protocols' effectiveness by constructing simple quantum circuits. Following this, we delve into deeper theoretical aspects, experimental realizations, and applications of quantum teleportation, including quantum state exchange experiments and weak measurement techniques, as well as environment-assisted measurements. Finally, we briefly discussed its current limitations and the future prospects of quantum teleportation.
Decomposing a complex system into smaller abstract functional blocks and developing mathematical models to represent their behavior is an important activity towards developing comprehensive system understanding. In this paper, we decompose the ideal Quantum Teleportation protocol into a collection of simple quantum circuit blocks, examine the behavior of each block, and show how collections of blocks operate to create more complex circuits. We believe this approach greatly simplifies the understanding of how the Quantum Teleportation protocol works. This paper is introductory in nature and is intended to help those who are new to modeling, simulating, and analyzing ideal quantum circuits.
Teleportation protocol is conventionally treated as a method for quantum state transfer between two spatially separated physical carriers. Recent experimental progress in manipulation with high-dimensional quantum systems opens a new framework for implementation of teleportation protocols. We show that the one-qubit teleportation can be considered as a state transfer between subspaces of the whole Hilbert space of an indivisible eight-dimensional system. We explicitly show all corresponding operations and discuss an alternative way of implementation of similar tasks.