In this chapter, two mechanisms for minimizing the effect of noise on the teleportation protocol are presented. The fidelity improvement is analyzed with respect to the variations of control parameters. There are several works on this topic in recent times [ 61 , 75 , 88 , 89 , 128 , 129 , 146 , 175 , 185 ].
In the actual quantum communication process, there will inevitably be noise in the quantum channel. In this chapter, we consider teleportation protocols in noisy environment. There are different types of noises, which are amplitude-damping, bit-flip, phase-flip, phase-damping, depolarizing noise, etc. Throughout this chapter, four types of noises are considered, namely amplitude-damping, bit-flip, phase-flip, phase-damping, under which teleportation without and with control are presented. The analysis of fidelity of the process against the variation of noise parameters are also discussed. Teleportation through noisy environment have been discussed in a good number of papers like [ 43 , 57 , 60 , 63 , 69 , 79 , 92 , 96 , 114 , 178 , 198 , 204 ].
In this chapter, teleportation under supervision, that is, controlled teleportation process is described. Particularly, we describe controlled bidirectional and cyclic teleportation protocols. Some other works on teleportation under supervision are listed in [ 30 , 31 , 53 , 73 , 74 , 87 , 90 , 91 , 93 , 124 , 141 , 142 , 150 , 154 , 172 , 195 , 202 ]. Particularly, teleportation protocols under multiple and hierarchical control have appeared in works like [ 17 , 65 , 138 , 182 , 183 , 184 , 192 ].
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.
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.
We extend the research program initiated in [Phys. Rev. A 92, 012338 (2015)] from noisy deterministic teleportation protocols to noisy probabilistic (conditional) protocols. Our main goal now is to study how we can increase the fidelity of the teleported state in the presence of noise by working with probabilistic protocols. We work with several scenarios involving the most common types of noise in realistic implementations of quantum communication tasks and find many cases where adding more noise to the probabilistic protocol increases considerably the fidelity of the teleported state, without decreasing the probability of a successful run of the protocol. Also, there are cases where the entanglement of the channel connecting Alice and Bob leading to the greatest fidelity is not maximal. Moreover, there exist cases where the optimal fidelity for the probabilistic protocols are greater than the maximal fidelity (2/3) achievable by using only classical resources, while the optimal ones for the deterministic protocols under the same conditions lie below this limit. This result clearly illustrates that in some cases we can only get a truly quantum teleportation if we use probabilistic instead of deterministic protocols.
Permitting the transmission of unknown quantum states over long distances by using entanglement, quantum teleportation serves as an important building block for many quantum technologies. However, in the noisy intermediate-scale quantum era, the practical realization of quantum teleportation is inevitably challenged by the noise-induced decoherence. We here propose a noise-mitigation mechanism applicable in both the discrete- and continuous-variable quantum teleportation schemes. Via investigating the non-Markovian decoherence dynamics of the two types of quantum teleportation schemes, we find that, as long as a bound state is formed in the energy spectrum of the total system consisting of the involved subsystems and their respective reservoirs, the quantum superiority of the fidelity is persistently recovered. Supplying an insightful understanding of the noise-mitigation protocols, our result paves the way to the practical realization of noise-tolerant quantum teleportation.