The role of noisy channels in quantum teleportation

Abstract

In quantum information theory, effects of quantum noise on teleportation are undeniable. Hence,we investigate the effect of noisy channels including amplitude damping, phase damping, depolarizing and phase ip on the teleported state between Alice and Bob where they share an entangled state by using atom-eld interaction state. We analyze the delity and quantum correlations as a function of decoherence rates and time scale of a state to be teleported. We observe that the average delityand quantum correlations accurately depend on types of noise acting on quantum channels. It is found that atom-eld interaction states are affected by amplitude damping channel are more useful for teleportation than when the shared qubites are affected by noisy channels such as AD channel and phase ip. We also observe that if the quantum channels is subject to phase ip noise, the average delity reproduces initial quantum correlations to possible values. On the other hand,not only all the noisy quantum channels do not always destroy average delity but also they can yield the highest delity in noisy conditions. In the current demonstration, our results provide that the average delity can have larger than 2/3 in front of the noise of named other channels with increasing decoherenc strength. Success in quantum states transfer in the present noise establishes the important of studing noisy channels.

Fidelity and concurrence of entangled qudits between a trapped ion and two laser beams

“…Studies on entangled states have increased over the past years owing to further development of quantum mechanics [1][2][3][4][5]. Although Einstein and Schrödinger discovered entanglement in 1935 [6,7], some of its properties remain as a mystery.…”

“…These correlations defy classical description and are associated with intrinsically quantum phenomena. Researchers have made considerable contributions to quantum communication that have produced several approaches to allocating bipartite entanglement [4][5][6][7][8][9]. Entanglement of qutrit states [9] is attested by a quantum structure for the lower order terms of the density matrix.…”

Analysis of Vehicle Routing Problem in Presence of Noisy Channels

“…The energy dissipation is a consequence of interaction of quantum system with an amplitude damping channel. In simple terms, a quantum system gaining or loosing energy from or to its environment is described as change in its amplitude or amplitude damping 38,39 probability of gain or loss of amplitude or decoherence rate; the Kraus operators of amplitude damping channel can be described as follows (Eq. 27),…”

“…Phaseflip noise alters the phase parameter of quantum system without exchange of energy 38,39 . The decoherence rate or the phaseflip noise parameter also follows the distribution 0 ≤ κ w ≤ 1, thus the Kraus operators of phaseflip noise channel can be defined as Eq.…”

“…The decoherence rate or the depolarization noise probability follows the distribution 0 ≤ κ D ≤ 1. Considering 3 Pauli operators X, Y, Z our quantum system will have a mixed state of κ D /3 38,39 . We define the Kraus operators as follows,…”