Quantum teleportation offers a basic process for distributed quantum information processing. This paper presents mathematical analysis of Hadamard gate quantum teleportation, instantly visualized by way of high-fidelity simulations using IBM Qiskit platform. In this protocol, Alice generates the state of Hadamard gate. Through the entangled qubits and quantum channel the Alice state is teleported to the Bob by using unitary operations to obtain the actual state of the Hadamard gate. The fidelity of this teleported state is confirmed by Bloch sphere and 3D probability graph of the generated state. Under the ideal condition of the proposed protocol teleportation fidelity of the Hadamard gate teleportation achieves 99.99%.
Quantum teleportation offers a basic process for distributed quantum information processing. This paper presents mathematical analysis of Hadamard gate quantum teleportation, instantly visualized by way of high-fidelity simulations using IBM Qiskit platform. In this protocol, Alice generates the state of Hadamard gate. Through the entangled qubits and quantum channel the Alice state is teleported to the Bob by using unitary operations to obtain the actual state of the Hadamard gate. The fidelity of this teleported state is confirmed by Bloch sphere and 3D probability graph of the generated state. Under the ideal condition of the proposed protocol teleportation fidelity of the Hadamard gate teleportation achieves 99.99%.
Quantum computing is a new way of doing things that uses quantum mechanics to do things that classical systems can't. These things include superposition, entanglement, and interference. Quantum teleportation is one of the most basic protocols that shows how the full quantum state of a qubit can be sent to a different place without moving the particle. It only uses shared entanglement and a classical communication channel. Even though this protocol is theoretically beautiful, it is still hard for students and new researchers to picture and understand it on their own. This paper describes an interactive quantum circuit simulator that runs on the web and was made with Python Flask, IBM's Qiskit library, and Three.js. It was made to show quantum teleportation in real time. Through a browser interface, users can build quantum circuits, use standard gates like Hadamard, Pauli-X, Pauli-Z, CNOT, and multiqubit gates, and see dynamic Bloch sphere updates that show how the state of the qubit changes after each operation. The backend uses Qiskit's statevector simulator to make sure the math is right, and the frontend, which is powered.by Three.js, shows quantum states in three-dimensional geometric forms. Testing confirms that the simulation fidelity is close to 1 under ideal conditions, which means that the protocol was implemented correctly. The proposed framework makes it easier to get into quantum education by getting rid of complicated local setup requirements and giving immediate visual feedback. This makes it easier to go from quantum theory to hands-on experimentation
In this work, we consider two stages one qubit quantum teleportation protocol via an arbitrary entangled two qubits state. In the first stage, Alice use XOR gate and computational basis measurement, while for the second stage, Alice use Hadamard gate and another computational basis measurement. Alice sent measurement result to Bob via one classical bit each. As the result, we show that this teleportation can has unit fidelity if the channel used has non-zero two terms and maximally entangled. Then the protocol is applicable if the channel is one of four Bell's state.
Teleporting Away: Understanding Quantum Teleportation Quantum teleportation is a fundamental protocol in quantum information science that enables the transfer of an unknown quantum state between distant parties using shared entanglement and classical communication. Despite its name, it does not involve the physical transportation of matter, nor does it allow information to travel faster than light. This article introduces the principles behind quantum teleportation through an accessible explanation of its key components, including qubits, quantum entanglement, the Hadamard gate, and the controlled-NOT (CNOT) gate. It then develops the protocol mathematically, following the process from the preparation of an entangled Bell pair to Alice's measurement and Bob's subsequent quantum-state correction. The article also examines common misconceptions surrounding quantum teleportation, particularly its relationship with faster-than-light communication and the no-cloning theorem. Finally, it explores potential applications in emerging quantum technologies, including quantum networks and distributed quantum computing. Written for readers beginning to explore quantum computing and quantum information, this article aims to bridge conceptual understanding with mathematical reasoning. Keywords: Quantum teleportation; quantum computing; quantum information; quantum entanglement; Bell states; quantum gates; quantum networks; distributed quantum computing.
This work presents a simulation-based study of quantum teleportation for secure communication under ideal, noisy, and adversarial conditions using IBM’s Qiskit framework and the Qiskit Aer simulator. The study begins with the verification of Bell-state entanglement to establish quantum correlation, followed by the implementation of a standard three-qubit quantum teleportation protocol. The teleportation system is evaluated across four experimental scenarios: (i) ideal noiseless teleportation, (ii) depolarizing noise environments, (iii) basis disturbance attacks using unauthorized Hadamard operations, and (iv) entanglement injection attacks introducing an external qubit into the communication channel. Each scenario is analyzed using measurement statistics, probability distributions, and state behavior of the receiver qubit. The results demonstrate that quantum teleportation achieves high fidelity under ideal conditions, while environmental noise introduces statistical degradation in state reconstruction. Furthermore, adversarial interference significantly disrupts teleportation performance, with basis disturbance producing near-uniform probability distributions and entanglement injection altering receiver-side measurement statistics. This study highlights both the robustness and vulnerability of quantum communication protocols and emphasizes the importance of noise mitigation, entanglement security, and attack detection mechanisms in future quantum networking systems. The work is entirely simulation-based and implemented using Python and Qiskit.
We propose a method to realize the teleportation of an unknown entangled state that consists of many qudits through a partially entangled-qudit quantum channel with the help of 2log 2 d -bit classical communication. The operations used in the teleportation process include a generalized Bell-state measurement and a series of single-qudit π-measurements performed by Alice, a series of generalized qudit-Pauli gates and two-level unitary gates, as well as a qubit measurement performed by Bob. For a maximally entangled quantum channel, the successful probability of the teleportation becomes unit.
Controlled quantum teleportation involves a third party as a controller for the teleportation of state. Here, we present the novel protocols for controlling teleportation of the arbitrary two-qubit and three-qubit states through five-qubit and seven-qubit cluster states respectively. In these schemes, Alice sends the arbitrary qubit states to the remote receiver Bob through the cluster states as quantum channels under the control of Charlie. Bob can recover the mentioned states by making appropriate unitary operations, and we point out that the efficiency in our schemes is 100%. In the process of our analysis, we find the classical communication cost in our protocols is remarkably reduced when compared to the previous protocols. We perform the experimental realization of the above protocols on "IBM 16 Melbourne" quantum computer and "IBM quantum simulator" and we calculate the fidelity. We also examine the security analysis against Charlie, and these schemes which we considered here are secure against Charlie's attacks.