This study compares the effects of Markovian and non-Markovian noise channels on a standard Bell state-based quantum teleportation protocol. Amplitude damping, phase damping, depolarising, and time-dependent (non-Markovian) channels were analysed within the same simulation framework, and teleportation fidelity was calculated as a function of noise intensity. Critical noise parameters were determined with reference to the classical threshold value (F=2/3), entanglement dynamics were evaluated using concurrence, and entanglement sudden death (ESD) points were identified. Non-Markovian behaviour was quantitatively analysed using the Breuer–Laine–Piilo (BLP) metric. The results show that different noise mechanisms significantly affect teleportation performance, and that entanglement conservation and operational teleportation advantages do not always coincide. Numerical results were validated by analytical comparison
This study compares the effects of Markovian and non-Markovian noise channels on a standard Bell state-based quantum teleportation protocol. Amplitude damping, phase damping, depolarising, and time-dependent (non-Markovian) channels were analysed within the same simulation framework, and teleportation fidelity was calculated as a function of noise intensity. Critical noise parameters were determined with reference to the classical threshold value (F=2/3), entanglement dynamics were evaluated using concurrence, and entanglement sudden death (ESD) points were identified. Non-Markovian behaviour was quantitatively analysed using the Breuer–Laine–Piilo (BLP) metric. The results show that different noise mechanisms significantly affect teleportation performance, and that entanglement conservation and operational teleportation advantages do not always coincide. Numerical results were validated by analytical comparison
Abstract Quantum communication is an integral part of quantum computing, where teleportation of a quantum state has gained significant attention from researchers. Many teleportation schemes have been introduced in the recent past. In this study, the authors compare the teleportation of a single‐qubit message among different entangled channels such as the two‐qubit Bell channel, three‐qubit GHZ channel, two/three‐qubit cluster states, a highly entangled five‐qubit state (Brown et al.) and the six‐qubit state (Borras et al.). The authors calculate and compare the quantum costs for these channels. The authors also study the effects of six noise models: bit‐flip noise, phase‐flip noise, bit‐phase‐flip noise, amplitude damping, phase damping and depolarising error. These noise models may affect the communication channel used for teleportation. An investigation of the variation of the initial state's fidelity is performed for the teleported state in the presence of the noise model. It is observed that the fidelity decreases in all the entangled channels as the noise parameter η increases in the range [0, 0.5] for all the noise models. The fidelity shows an upward trend in the Bell, GHZ and three‐qubit cluster state channels, as η varies in the range [0.5, 1.0] for all the noise models. However, in the rest of the three channels, the fidelity substantially decreases in the case of amplitude damping, phase damping and depolarising noise, and even it reaches zero for η = 1 in Brown et al. and Borras et al. channels.
Quantum teleportation plays a significant role in the field of quantum communication. This paper investigates quantum teleportation through a noisy environment by using GHZ state and non-standard W state as quantum channels. We analyze the efficiency of quantum teleportation by solving analytically a master equation in Lindblad form. Following the quantum teleportation protocol, we obtain the fidelity of quantum teleportation as a function of evolution time. The calculation results show that the teleportation fidelity using non-standard W is higher in comparison to GHZ state at the same evolution time. Moreover, we consider the efficiency of teleportation with weak measurements and reverse quantum measurement under amplitude damping noise. Our analysis suggests that the teleportation fidelity using non-standard W is also more robust to noise than GHZ state in the same conditions. Interestingly, we found that weak measurement and its reverse operation have no positive effect on the efficiency of quantum teleportation by using GHZ and non-standard W state in the amplitude damping noise environment. In addition, we also demonstrate the efficiency of quantum teleportation can be improved by making minor modifications to the protocol.
Quantum teleportation (QT) is the principal method of transferring quantum states from one place to another without actually revealing which quantum state is being transferred. This protocol makes use of entangled states shared between the sending and receiving stations, and two bits of classical information. However, in real communication systems which are used to carry the entangled state, a typical noise results in the degradation of the fidelity of teleported states. The protocol of controlled quantum teleportation (CQT) represents an extension to the standard quantum teleportation (SQT) with includes the third entity, so called “controller“, and is based on sharing of a tripartite entangled quantum state. The role of controller is to permit the fidelity of teleported state to be higher than it can be done using only classical resources.
As a typical noise has detrimental effect on the performance of quantum teleportation protocols, In this work, a study of different noisy channels, which can exhibit the Markovian or non-Markovian dynamics is presented. Each noisy channel is characterized by the teleportation fidelity and by the control power.
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.
The present paper investigates whether teleportation provides a higher quality of state transfer than direct transmission through the same noisy channel. We consider bit-flip, phase-flip, amplitude-damping, phase-damping, and depolarizing noises for the transfer of Bell-like and GHZ-like states, under both distance-dependent and time-dependent noise models. Our results show that the relative advantage of teleportation depends strongly on the noise channel and noise model. For the Bell-like state, teleportation remains superior throughout the distance-dependent model for BF, AD, and PD noise, whereas PF and DP exhibit limited regions favoring direct transmission. For the GHZ-like state, teleportation remains superior throughout for PD and DP noise, while BF, PF, and AD show parameter-dependent behavior. The time-dependent model further modifies these trends due to the additional decoherence associated with the waiting time for classical communication. We also compare the teleportation fidelities with the classical measure-and-prepare benchmark 2/3, revealing channel-dependent regions in which the classical limit is surpassed. These findings highlight the role of noise structure and communication time in determining the conditions under which teleportation provides an advantage over direct transmission.
Maintaining quantum coherence and entanglement in the presence of environmental noise, particularly within non-Markovian contexts, represents a significant challenge for the progression of quantum information science and technology. This study offers a substantial advancement by investigating the dynamics of a two-qubit system subjected to diverse noise conditions, encompassing relaxation, dephasing, and their cumulative effects. By employing quantum-state-diffusion equations specifically crafted for non-Markovian environments, we introduce an innovative strategy to counteract the detrimental influences of environmental noise on quantum teleportation fidelity and entanglement concurrence. Our results underscore the potential for external interventions to markedly improve the resilience of quantum information processing tasks over prolonged durations, especially in settings where dephasing noise prevails. A key revelation is the intricate relationship between dephasing noise and the initial state of entanglement, which profoundly impacts the occurrence of entanglement sudden death. This research not only deepens our comprehension of quantum system dynamics under noisy circumstances but also furnishes practical directives for engineering robust quantum systems, a necessity for the development of scalable quantum technologies.