Enhancing robustness of noisy qutrit teleportation with Markovian memory

Abstract

Quantum teleportation is the fundamental communication unit in quantum communication. Here, a three-level system is selected for storing and transmitting quantum information, due to its unique advantages, such as lower cost than a higher-level system and higher capacity and security than a two-level system. It is known that the key procedure for perfect teleportation is the distribution of entanglement through quantum channel. However, amounts of noise existing in the quantum channel may interfere the entangled state, causing the degradation of quantum entanglement. In the physical implementations of quantum communication schemes, noise acting on the carriers of successive transmissions often exhibits some correlations, which is the so called quantum memory channel. In this paper, a memory channel model during the entanglement distribution phase is constructed and the uniform expression of the evolution of a two-qutrit entangled state under different kinds of correlated noise is derived. Finally, Pauli noise and amplitude damping noise as the typical noise source are considered to analyze the influence of memory effects of noise on qutrit teleportation. It is expected to show that three-level teleportation under these two types of channels can generally enhance the robustness to noise if the Markovian correlations of quantum channel are taken into consideration.

Combating errors in quantum communication: an integrated approach

“…The effect of a depolarizing channel on a state is to incoherently mix the state with white noise with a nonzero probability. The effect of this channel on various quantum communication protocols, for example, (1) on quantum teleportation 45 , (2) for a qutrit 46 , (3) on the key rate and hence, on security of quantum key distribution protocol 50 , and, (4) on quantum secret sharing protocol 51 have been studied.…”

Quantum gate-assisted teleportation in noisy environments: robustness and fidelity improvement

“…Quantum communication, an indispensable branch of quantum information, mainly involves quantum teleportation [1][2][3][4][5], quantum dense coding [6][7][8], quantum secret sharing [9][10][11] and quantum key distribution [12][13][14]. Quantum communication, leveraging the intrinsic characteristics of quantum mechanics, offers a significantly higher level of security than classical communication [15].…”

Asymmetric bidirectional quantum controlled teleportation via a seven-qubit Werner-like mixed state

“…The study optimised the teleportation technique for noisy quantum channels using generalised quantum measurement frameworks. Xu et al [36] developed a memory channel model during the entanglement distribution phase and obtained a uniform equation for the evolution of a two-qutrit entangled state under various types of correlated noise. They demonstrated that three-level teleportation using Pauli and amplitude-damping channels can generally enhance noise robustness if the quantum channel's Markovian correlations are considered.…”