Quantum teleportation in a two-superconducting qubit system under dephasing noisy channel: role of Josephson and mutual coupling energies

Abstract

We investigate the average fidelity of teleportation for a system of two superconducting qubits under a dephasing noisy channel. Using the classical fidelity threshold concept, we disclose the effectiveness of the current channel to remain either in the classical or in the quantum domain. Various parameters of the assumed scheme help us to achieve high average fidelity of teleportation in the current configuration.

Locating Two-Level Systems in a Superconducting Xmon Qubit

“…The analytical methods used in this paper are effective tools to analyze the longterm stability of the quantum system parameters, such as decoherence times of quantum dots [46], optical gains of laser diodes using quantum wires [47,48], and spontaneous currents in superconducting rings [49,50], and are not limited to the superconducting qubit system discussed here. The presence of fluctuations in T 1 , T R 2 and qubit frequency highlights the importance of recalibrating qubits frequently, as these fluctuations contribute to errors in quantum gate fidelities and quantum teleportation fidelities [51,52], and this study provides an approach for selecting the ideal working points of tunable superconducting Xmon qubits to avoid the unstable area. Basically, this emphasizes that in order to accurately evaluate the quality of a qubit, not only the exceptional coherence time, but also the long-term average value should be estimated.…”

Quantum correlations and thermal coherence in a two-superconducting charge qubit system

“…The unique configuration of this system allows for the occurrence of interference between the quantum states of the two boxes, ultimately leading to the development of two superconducting charge qubits that are identical to each other. The behavior of these two superconducting qubits can be comprehensively explained using the Hamiltonian formulated as follows [63][64][65][66][67][68][69][70][71][72].…”

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

“…where θ and f are the amplitude and phase of the initial state. In this relation we see that we take the integral of the fidelity in equation (18) in terms of amplitude and phase to calculate the average fidelity. Note that the maximum fidelity threshold of the classical average occurs at F A = 2/3, so above this limit, we enter the quantum average fidelity.…”

“…By generalizing equation ( 14), the output state ρ out of an arbitrary two-qubit state is obtained from the following relation [18,57]:…”

“…For the teleportation scheme to be successful, we need a quantum channel consisting of two or more subsystems of species pairs prepared in an entangled state. Due to the presence of decoherence effects in a teleportation scheme, an entangled state may be mixed during the interaction with the external environment [15][16][17][18][19][20][21][22]. With these words, it can be said that the investigation of quantum teleportation is valuable due to the effects of decoherence.…”