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Physica A Statistical Mechanics and its Applications

Nonclassicality and teleportation fidelity probes in amplitude-tailored superconducting charge qubits

Anas Ait Chlih, Atta Ur Rahman

Published Jul 26, 2024• 6 citations
Publisher
DOI
10.1016/j.physa.2024.129986

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Optimal procedures and appropriate designs of transmitting channels are required to preserve quantum correlations (QCs) in quantum teleportation schemes. In pursuit of this objective, a comprehensive investigation into the intricate dynamics of a quantum channel comprising two singular Cooper-pair charge qubits, mutually coupled and influenced by Josephson energy, has been undertaken. The use of the Gibbs density operator has provided valuable insights into the thermal quantum characteristics and teleportation fidelity of the system. Furthermore, this study underscores the critical interplay between the energy parameters and the utilization of quantum features to establish conducive conditions for the preservation of nonclassicality and the success of the teleportation scheme. Additionally, the study reveals that trace distance discord is the most resilient in the thermal output state, surpassing both concurrence and the degree of violation of Bell’s inequality. Notably, precise control of the input state amplitude and adept manipulation of the energy parameters have enhanced QCs and resulted in the teleportation fidelity exceeding the classical limit.

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Is this paper we mainly investigate the effects of the temperature and Josephson energy on teleportation of one qubit state in both the standard and the non-standard protocols as well as the partial teleportation of an entangled state under the standard protocol via two identical superconducting charge qubits in thermal equilibrium as the teleportation channel, and give the analytical expression of the average fidelity. Our results show that the teleportation of one qubit state in non-standard protocol and the partial teleportation of entanglement in standard protocol can be almost perfect, indicating that quantum teleportation, with using superconducting charge qubits in thermal equilibrium as a quantum channel, is feasible in theory.