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International Conference on Device Intelligence, Computing and Communication Technologies (DICCT)

Fidelity Analysis Under Different Noise Condition for Single Qubit Quantum Teleportation

Manisha Prajapat, Kamal Kishor Choure, Rahul Pandey, Ghanshyam K. Singh, Shehul Singh, Pukhrambam Puspa Devi

Published Mar 21, 2025• 0 citations
Publisher

Abstract

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.

DOI
10.1109/dicct64131.2025.10986722

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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.
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.
Quantum teleportation is a useful communication protocol in quantum communication, which enables the transmission of quantum states over long distances. However, quantum noise inevitably affects quantum communication, resulting in the teleported state not being the ideal target state. In order to minimize the impact of quantum noise, we propose a new method to mitigate bit-flip and phase-flip noise of quantum channel in this paper. This method shares additional ancillary particles between the two parties of communication, which can effectively reduce the influence of bit-flip and phase-flip noise on the entangled channel, thereby improving the efficiency of quantum teleportation in noisy environments. We analyze the performance of the proposed method in detail through mathematical calculations. The results show that proposed scheme can resist the bit-flip and phase-flip noise with noise factor less than 0.5. When the noise factor is small, adding a small amount of auxiliary particles can greatly improve the fidelity of the output state: when the number of auxiliary particles increases to 5, the scheme can resist quantum noise with a noise factor less than or equal to 0.3, making fidelity of the output state is close to 1. When the noise factor is large, it is necessary to add more auxiliary particles to offset the influence of noise.
Abstract The proposal of the quantum teleportation(QT) is to transfer an unknown quantum state from one place to another through local operations and classical communication. However, the efficiency of standard QT will be significantly reduced due to the influence of the inevitable noise in environments. In this work, we propose two schemes to improve the efficiency of the QT protocol when quantum channel is subjected to bit-flip or phase-flip noise. We find that the so-called more entanglement means low efficiency in the performance of the standard teleportation protocol, and the optimal fidelity is obtained only by using the appropriate unitary operation. Specially, we show that the optimal averaged fidelity to our schemes is always more than the best classically achievable fidelity 2/3. We also provide a physical explanation of the obtained conclusions and our results will be helpful for improving quantum communication with real implementation.
This study presents an improved quantum teleportation protocol designed to enhance fidelity in noisy environments by combining weak measurements (WMs) with flip and reversal operations. In our scheme, Alice prepares a four-qubit entangled state and shares one of the entangled qubits with Bob, which serves as the quantum channel for teleporting an arbitrary single-qubit state. Since the communication channel is subject to noise, Alice performs a weak measurement on the shared qubit before transmission to reduce the impact of decoherence. Building upon existing WM-flipreversal frameworks, we propose a modified weak measurement and reversal (WMR) protocol tailored for different noises in a four-qubit entangled system. The approach applies WM and flip operations prior to transmission to enhance resilience against noise, followed by corresponding reversal operations after transmission to recover the original quantum state. We systematically compare the performance of our proposed WMR protocol with the previously proposed WM-flip-reversal method under three common noise models: amplitude damping channel (ADC), phase flip channel (PFC), and bit flip channel (BFC). Our analysis reveals that the modified WMR scheme achieves significantly higher teleportation fidelity and improved robustness, particularly in bit flip noise environments. These findings highlight the potential of optimized weak measurement strategies for developing more reliable and noise-tolerant quantum communication protocols
Abstract This study investigates the effect of noise on two-qubit quantum teleportation through a four-qubit entangled channel theoretically. Therefore, in this study a comparison of two states of teleportation through ideal and noisy channel was carried out. The noisy channel can have the effect of bit-flip channel and phase-flip channel. From these two effects, it is found that the channel transforms in-to a mixed state. If the noise is neglected, the channel is pure state. Then, this channel is measured and fidelity is calculated. The fidelity of an ideal environment is 1. This indicates that the teleportation was successfully sent and at the same time confirms the teleportation behavior under ideal conditions. In noisy environments, fidelity can be less than 1. Two factors in noisy environment that affect fidelity are noise factor (p) and the orginal parameter states (transmission coefficients). In this calculation, for the bit flip noise, we observed that as the values of the coefficient values of transmitted state increase, the fidelity value increases. Meanwhile, for the phase flip noise, we observed that as the values of the coefficient values of transmitted state increase, the fidelity value decreases.
In order to improve the anti-noise performance of quantum teleportation, this paper proposes a novel dynamic quantum anti-noise scheme based on the quantum teleportation which transmits single qubit state using Bell state. Considering that quantum noise only acts on the transmitted qubit, i.e., the entangled state that Alice and Bob share in advance is affected by the noise, thus affecting the final transmission result. In this paper, a method for dynamically adjusting the shared entangled state according to the noise environment is proposed. By calculating the maximum fidelity of the output state to determine the shared entangled state, which makes the quantum teleportation be affected by the noise as little as possible. This paper calculates the fidelity of teleportation under four kinds of channel noise (amplitude damping, phase damping, bit flip and depolarizing noise). The results show that the scheme has a suppression effect on phase damping, bit flip and depolarizing noise under certain conditions. When the noise intensity is larger, the optimized efficiency is better.