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Journal of Physics Conference Series

Controlling entanglement in the interferometry of driven coupled flux qubits

Ana Laura Gramajo, Daniel Domı́nguez, María José Sánchez

Published Mar 1, 2018• 1 citation
Publisher

Abstract

We study the manipulation of quantum entanglement by periodic external fields in the Landau-Zener-Stuckelberg interferometry of coupled flux qubits. As an entanglement measure we compute numerically the concurrence of two coupled flux qubits, both driven by a dc+ac magnetic flux. We show that it is possible to create or destroy entanglement in a controlled way by tuning the system at or near multiphoton resonances.

DOI
10.1088/1742-6596/969/1/012135

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We study the manipulation of quantum entanglement by periodic external fields in the Landau-Zener-Stuckelberg interferometry of coupled flux qubits. As an entanglement measure we compute numerically the concurrence of two coupled flux qubits, both driven by a dc+ac magnetic flux. We show that it is possible to create or destroy entanglement in a controlled way by tuning the system at or near multiphoton resonances.
We study the manipulation of quantum entanglement by periodic external fields. As an entanglement measure we compute numerically the concurrence of two flux qubits coupled inductively and/or capacitively, both driven by a dc+ac magnetic flux. Also we find an analytical lower bound for the concurrence, where the dominant terms correspond to the concurrence in the Floquet states. We show that it is possible to create or destroy entanglement in a controlled way by tuning the system at or near multiphoton resonances. We find that when the driving term of the Hamiltonian does not commute with the qubit-qubit interaction term, the control of the entanglement induced by the driving field is more robust in parameter space. This implies that capacitively coupled two flux qubits are more convenient for controlling entanglement through ac driving fluxes.
An analytical theory to calculate the dissipatively stable concurrence in the system of two coupled flux superconducting qubits in the strong driving field is developed. The conditions for the entanglement state generation and destruction during the formation of the multiphoton transitions regions due to the interference of Landau--Zener--Stückelberg--Majorana are found. Based on the solution of the Floquet--Markov equation, the technique is proposed to adjust the amplitudes of dc- and ac-fields for effective control of the entanglement between qubit states while taking into account the effects of the decoherence.
We study entanglement and multiphoton transitions in a system of coupled superconducting flux qubits under the action of an alternating drving field (the frequency of the external field is much higher than the frequency of qubit transitions). The positions of multiphoton transitions are found within the framework of the quasi-energy representation and the Floquet perturbation theory. It is shown that by tuning the external control field, it is possible to control the positions of the resonances and the measure of entanglement in the system. The influence of dissipation processes on multiphoton interference effects is studied.
An entangled state generation protocol for a system of two qubits driven with an ac signal and coupled through a resonator is introduced. We explain the mechanism of entanglement generation in terms of an interplay between unitary Landau-Zener-Stuckelberg (LZS) transitions induced for appropriate amplitudes and frequencies of the applied ac signal and dissipative processes dominated by photon loss. In this way, we found that the steady state of the system can be tuned to be arbitrarily close to a Bell state, which is independent of the initial state. Effective two-qubit Hamiltonians that reproduce the resonance patterns associated with LZS transitions are derived.
We report on a mechanism to optimize the generation of steady-state entanglement in a system of coupled qubits driven by microwave fields. Due to the interplay between Landau-Zener-St\"uckelberg-Majorana pumping involving three levels and a subsequent fast relaxation channel, which is activated by tuning the qubits-reservoir couplings, a maximally entangled state can be populated. This mechanism does not require the fine tuning of multiphoton resonances but depends on the sign of the qubit-qubit coupling. In particular, we find that by a proper design of the system parameters and the driving protocol, the two-qubit steady-state concurrence can attain values close to 1 in a wide range of driving amplitudes. Our results may be useful to gain further insight into entanglement control and manipulation in dissipative quantum systems exposed to strong driving.
The quantum level population behavior of two coupled flux qubits depending on the external driving field characteristics is studied. Explicit expressions for the multiphoton transition probabilities at an arbitrary control field amplitude are obtained for the case of small tunnel splitting energies. We describe the controllable features of their formation and thereby the creation or destruction of entanglement on the direct interlevel transition and during the transition through intermediate states by system bias tuning. We found a feature of the qubit population inversion that results in the independence of the resonance positions from the qubit coupling strength. Using the Floquet-Markov equation, we numerically demonstrate that the positions of multiphoton resonances are stable to dissipative processes.