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Physics Letters A

Treatment of non-Markovian effects to investigate non-locality, dense coding and non-local information

Y. Aiache, C. Seida, K. El Anouz, Abderrahim El Allati

Published Jan 18, 2024• 6 citations
Publisher
DOI
10.1016/j.physleta.2024.129320

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Abstract In this work, we investigate the effect of a parity-time ( PT ) symmetric operation on the dynamic behavior of quantum dense coding for a two-qubit system in non-Markovian environments. First, we derive the explicit expressions of quantum dense coding for an exactly solving model consisting of two qubits interacting with an independent structured reservoir. Then, we give two cases, i.e. resonant and off-resonant regimes, to demonstrate the performance of the PT symmetric operation on quantum dense coding dynamics. By investigation, we find that the capacity of quantum dense coding can be obviously enhanced with the assistance of the PT symmetric operation in different regimes. In addition, we show that the optimal local PT symmetric operation can completely protect quantum dense coding. The obtained results imply that the PT symmetric operation method may have potential applications in quantum decoherence control.
By harnessing entanglement to transmit information beyond the limits of classical communication, quantum dense coding serves as a key component in various quantum technologies. However, in the noisy intermediate-scale quantum era, noise-induced decoherence poses inevitable challenges to its practical implementation. By investigating the non-Markovian decoherence dynamics of the two categories of quantum dense coding protocols realized in discrete- and continuous-variable systems, we demonstrate a physical mechanism to suppress the decoherence in quantum dense coding. It is found that the formation of a bound state in the energy spectrum of the entire system consisting of each subsystem and its local environment of the quantum channel restores the quantum advantage of dense coding in the presence of decoherence. Refreshing our understanding on the noisy effect on quantum dense coding, our finding offers a guide toward the practical realization of noise-tolerant quantum dense coding.
We investigate the distributed dense coding (DC) protocol, involving multiple senders and a single or two receivers under the influence of non-Markovian noise, acting on the encoded qubits transmitted from the senders to the receiver(s). We compare the effects of non-Markovianity on DC for both the dephasing and depolarizing channels. In the case of dephasing channels, we illustrate that for some classes of states, high non-Markovian strength can eradicate the negative influence of noisy channels which is not observed for depolarizing noise. Furthermore, we incorporate randomness into the noise models by replacing the Pauli matrices with random unitaries and demonstrate the constructive impact of stochastic noise models on the quenched averaged dense coding capacity. Interestingly, we report that the detrimental effect of non-Markovian depolarizing channels in the DC protocol can be eliminated when randomness is added to the channel.