In this work, we propose a self-correcting quantum teleportation protocol capable of transmitting a three-qubit Greenberger-Horne-Zeilinger-type (GHZ-type) state through a four-qubit quantum state in the presence of collective Bit-Flip Noise. We show that the protocol can self-correct the noise effect on the teleportation process, resulting in perfect state transfer with unit fidelity and probability. We also show that the proposed protocol has up to 33.3% lower quantum gate resource cost than a conventional combination of quantum error correction and teleportation protocols. Furthermore, we discuss the protocol’s generalization in teleporting [Formula: see text]-qubit GHZ-type state, with [Formula: see text] being any integer. Lastly, we simulate the proposed protocol under the noise in Qiskit and show that it can be implemented well.
In this work, we propose a self-correcting quantum teleportation protocol capable of transmitting a three-qubit Greenberger-Horne-Zeilinger-type (GHZ-type) state through a four-qubit quantum state in the presence of collective Bit-Flip Noise. We show that the protocol can self-correct the noise effect on the teleportation process, resulting in perfect state transfer with unit fidelity and probability. We also show that the proposed protocol has up to 33.3% lower quantum gate resource cost than a conventional combination of quantum error correction and teleportation protocols. Furthermore, we discuss the protocol’s generalization in teleporting [Formula: see text]-qubit GHZ-type state, with [Formula: see text] being any integer. Lastly, we simulate the proposed protocol under the noise in Qiskit and show that it can be implemented well.
Quantum teleportation is a cornerstone protocol for future quantum networks and distributed quantum com- puting. However, scaling teleportation to an arbitrary N- qubit state using conventional methods, which require N separate Bell pairs, presents a significant challenge in terms of both quantum and classical resource overhead. This paper introduces a novel and resource-efficient protocol for tele- porting an arbitrary N-qubit state using a single, pre-shared (N+1)-qubit Greenberger-Horne-Zeilinger (GHZ) state. Our approach reduces the required entangled channel qubits and classical communication bits from O(2N) to N+1, offering a substantial improvement in communication efficiency. The protocol mechanism involves a sequence of local and non-local CNOT gates performed by the sender (Alice), followed by local measurements on her N+1 qubits. The N+1 classical measurement outcomes are then transmitted to the receiver (Bob), who recovers the original quantum state by applying a specific corrective unitary transformation U-f, followed by a set of conditional Pauli gates. We provide a high-level proof of the protocol’s correctness and show that the corrective trans- formation U-f can be implemented efficiently using only local operations on the receiver’s side. Recognizing the practical difficulty of implementing non-local quantum gates between spatially separated nodes, we also propose a modified scheme to enhance near-term feasibility. This practical approach re- locates the non-local operations to a co-located preparation phase, thereby trading the formidable challenge of non-local interactions for a high-fidelity quantum memory requirement. This work analyzes the critical trade-offs between communication efficiency and operational complexity, presenting a vi- able alternative for designing scalable and resource-optimized quantum communication systems.
In this paper, we propose a method through which [Formula: see text]-qubit states can simultaneously be bi-directionally transmitted between two users. We assume that Alice and Bob, the legitimate users, each have a [Formula: see text]-qubit GHZ-like state and want to teleport it to the other party. Also, a four-qubit cluster state plays the role of the quantum channel of this bi-directional quantum teleportation. The protocol is based on the method that at first, each user, through a series of [Formula: see text] gates, converts the [Formula: see text]-qubit state into a single qubit and some [Formula: see text] qubits. Then, by means of the Bell state measurement and proper operation, the single qubit state is transferred over the channel between the two sides. By re-applying the [Formula: see text] gates on the transmitted qubits and auxiliary [Formula: see text] states, each user reconstructs the initial GHZ-like state. Finally, we investigate the effects of some kind of noises on the density matrix of the channel due to its interaction with the environment and present a method to protect the channel against the bit-flip error.
Noise is a major challenge in quantum computing, affecting the reliability of quantum protocols. In this work, we analytically study the impact of various noise processes, such as depolarization, bit flip, and phase flip, on the quantum state teleportation protocol. Each noise process is modeled as a quantum channel and is applied individually to all qubits after the corresponding unitary operations to simulate realistic conditions. We evaluate the fidelity between the ideal and noisy teleported states to quantify the effect of noise. Our analysis shows that the fidelity decreases polynomially, in general, as the noise strength increases for all noise types, highlighting the sensitivity of state teleportation to different noise mechanisms. However, in the low noise regime, the fidelity decreases only linearly, indicating the robustness of the teleportation protocol. These results provide insight into error characterization and can inform strategies for noise mitigation in practical quantum computing applications.
In the domain of quantum communication, quantum teleportation (QT) emerges as a pivotal protocol, enabling the transmission of quantum states across significant distances. However, the ubiquitous presence of quantum noise inevitably affects this process, causing deviations in the teleported state from its intended configuration. This study proposes an innovative approach to mitigate noise error (bit-flip and phase-flip) and within quantum channels. The method involves implementing quantum gates between communicating parties, effectively diminishing the impact of these noise types on the entangled channel and enhancing QT efficacy in noise-prone environments. Experimental results demonstrate that noisy channel has low-fidelity 16.67% in bit flip noise and 68.60% in phase flip noise. The proposed noise mitigation quantum circuit attained the 100% fidelity.
Recently, bidirectional quantum teleportation has attracted a great deal of research attention. However, existing bidirectional teleportation schemes are normally discussed on the basis of perfect quantum environments. In this paper, we first put forward a bidirectional teleportation scheme to transport three-qubit Greenberger–Horne–Zeilinger (GHZ) states based on controled-not (CNOT) operation and single-qubit measurement. Then, we generalize it to the teleportation of multi-qubit GHZ states. Further, we discuss the influence of quantum noise on our scheme by the example of an amplitude damping channel, then we obtain the fidelity of the teleportation. Finally, we utilize the weak measurement and the corresponding reversing measurement to protect the quantum entanglement, which shows an effective enhancement of the teleportation fidelity.
Ideal Controlled quantum teleportation, discovered theoretically by Karlsson and Bourennane, is a weird paradigm of nonlocal transplantation of probability-amplitudes of an arbitrary unknown generic information-qubit possessed by a sender (Alice) on a qubit preserved by a distantly located receiver (Bob) under control or cooperation by a third party (Charlie) via maximally entangled Greenberger-Horne-Zeilinger (GHZ) state employed as the quantum channel with local operation and classical communication. The GHZ state is a fragile quantum resource and extremely sensitive to inevitable noisy environment causing decoherence. It fuels, therefore, an imperatively pressing demand to strategize a scheme for noise-resistant control quantum teleportation. We revisit the ideal control quantum teleportation but with a noisy Greenberger-Horne-Zeilinger State in which each intertwining qubit suffers with differing noises and inequivalent levels, namely, bit-flip, amplitude-flip and phase-flip, i.e., asymmetric noise ambience. The controlling power, introduced by Li and Ghose, is invoked to assess the performance of the afore-described noisy strategy. It is seen that differing levels of noises breaks the classical bound of controlling power and, thereby, demonstrating the loosening authority of controller. Our findings suggest that to which extent of asymmetric noise ambience noisy control quantum teleportation is noise-tolerant.