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Physica Scripta

Quantum teleportation and phase quantum estimation in a two-qubit state influenced by dipole and symmetric cross interactions

Seyed Mohammad Hosseiny

Published Sep 22, 2023• 11 citations
Publisher

Abstract

Abstract In this paper, we address the problem of quantum teleportation in single and two-qubit scenarios based on the Heisenberg XYZ two-qubit chain model under the influence of atomic dipole and Kaplan-Shekhtman-Entin-Wohlman-Aharony (KSEWA) interactions. Using the concepts of fidelity threshold and average fidelity in classical and quantum, we reveal the effectiveness of the current channel to remain in the quantum limits. In addition, we investigate the quantum estimation of the encoded phase in single and two-qubit scenarios at the teleportation destination. By using different variables of the system, the average fidelity of the quantum teleportation and the quantum estimation of the encoded phase in one and two teleported qubit(s) can be improved.

DOI
10.1088/1402-4896/acfc7a

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Abstract In this paper, we address the problem of quantum teleportation in single and two-qubit scenarios based on the Heisenberg XYZ two-qubit chain model under the influence of atomic dipole and Kaplan-Shekhtman-Entin-Wohlman-Aharony (KSEWA) interactions. Using the concepts of fidelity threshold and average fidelity in classical and quantum, we reveal the effectiveness of the current channel to remain in the quantum limits. In addition, we investigate the quantum estimation of the encoded phase in single and two-qubit scenarios at the teleportation destination. By using different variables of the system, the average fidelity of the quantum teleportation and the quantum estimation of the encoded phase in one and two teleported qubit(s) can be improved.
One of the teleportation versions is applied to convey an entangled two-qubit system via a class of a two-qubit XYZ Heisenberg chain model. At thermal equilibrium, the exact solution of the XYZ model with an external magnetic field and the Kaplan-Shekhtman-Entin-Wohlman-Aharony interaction (KSEWA-interaction) is proposed in X, and Z direction. The teleported quantum Fisher information is studied, where we estimate the weight parameter θ, temperature and the strength parameter of KSEWA-interaction. It is found that, the strength of the KSEWA-interaction and the magnetic field be of benefit in the case of estimating the weight function. Meanwhile, the temperature decreases the teleported information.
One of the most appealing quantum communication protocols is quantum teleportation, which involves sharing entanglement between the sender and receiver of the quantum state. We address the two-qubit quantum teleportation based on the Heisenberg XYZ chain with a magnetic-field gradient affected by intrinsic decoherence. An atomic spin chain is primarily coupled to the linear gradient of the magnetic field in the x-direction, with the assumption that the magnetic field varies linearly with the position of the atom. By using the concepts of fidelity and average fidelity in the presence of the magnetic field gradient and under the effect of intrinsic decoherence in the current model, and considering the variables of the system, an improved quantum teleportation can be achieved. In addition, using the concept of remote quantum estimation, we examine remote quantum sensing in this article, which is very useful in quantum communication.
Quantum teleportation via the entanglement channel composed of a two-qubit Heisenberg XYZ chain with Dzyaloshinskii–Moriya interaction in the presence of both inhomogeneous external magnetic field and intrinsic decoherence has been investigated. It is shown that the initial state of the channel plays an important role in the fully entangled fraction and the average fidelity of teleportation. It is found that when the initial system is in the entangled state |Ψ⟩ = m2|01⟩ + n2|10⟩ the corresponding average fidelity is always larger than 2/3.
We consider a two-qubit Heisenberg XXZ chain as a resource for quantum teleportation via the standard teleportation protocol T 0 . The effects of anisotropic on teleportation fidelity and entanglement are studied in detail. We find anisotropic not only improves the critical temperature T c and critical magnetic field B c , beyond which quantum teleportation is inferior to classical communication protocol, but also enhances the fidelity for fixed magnetic field B and temperature T. For entanglement teleportation, the effects of magnetic field on average fidelity and output entanglement are studied.
In this paper we study the entanglement in a two-qubit spin in the XYZ model, and teleport a two-qubit entangled state using this spin chain in the condition of the thermal equilibrium as a quantum channel. We investigate the effects of the interaction of z-component JZ, the inhomogeneous magnetic field b, the anisotropy ?, and the temperature T on the entanglement and fidelity. In order to characterize the quality of the teleported state, we research the average fidelity Fa. High average fidelity of the teleportation is obtained when the temperat ure is very low. Under some condition, we also find that when inhomogeneity increases to a certain value, the average fidelity can exhibit a larger revival than that for less values of b.