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Physical Review A

Dissipative entanglement generation between two qubits parametrically driven and coupled to a resonator

Sebastián Luciano Gallardo, Daniel Domı́nguez, María José Sánchez

Published May 9, 2022• 5 citations
Publisher

Abstract

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-St\"uckelberg (LZS) transitions, induced for appropriate frequencies and strong amplitudes of the applied ac signal and dissipative processes dominated by photon loss. In this way, we find that the steady state of the system can be tuned to be arbitrarily close to a Bell state, which is stable against photon loss. Effective two-qubit Hamiltonians that reproduce the resonance patterns associated with LZS transitions are derived.

DOI
10.1103/physreva.105.052413

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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-St"uckelberg (LZS) transitions, induced for appropriate frequencies and strong amplitudes of the applied ac signal and dissipative processes dominated by photon loss. In this way, we find that the steady state of the system can be tuned to be arbitrarily close to a Bell state, which is stable against photon loss. Effective two-qubit Hamiltonians that reproduce the resonance patterns associated with LZS transitions are derived.
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.
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.
Abstract We propose an experimentally feasible scheme for the dissipative generation of stable entanglement of superconducting qubits via coupling modulation without applying any drives on qubits and resonator. Firstly, we study the circuit of one superconducting transmission line resonator coupled to two separated qubits via two superconducting quantum interference devices (SUQIDs). By modulating the inductance of the SQUIDs via external fluxes, we can tailor an appropriate qubit-resonator coupling with both red- and blue-sideband interactions. Combined with the photon loss of the resonator, the two qubits can be autonomously steered into a long-lived entangled state with high fidelity. Moreover, we extend the model to one resonator coupled to two separated qubit chains, each of which contains N linearly coupled superconducting qubits. We show that the lossy resonator can drive the whole system into a unique dark state, i.e. , a series of N entangled pairs of qubits across the chains can be stabilized at the stationary state. So, the present work enables the preparation of a stable long-range entangled state between the two qubits in the end sites of the chains, which plays an important role for implementing scalable quantum computation and quantum communication.
A qubit system coupled to a resonator may be treated as a quantum metamaterial. Quantum nature of such a system results in large variety of non-trivial effects. In particular, we study a parametrically driven system of qubits coupled to a single-mode resonator and show that the energy dissipation in the resonator can enhance population of the excited state of the qubits and generate the entanglement between qubits. The energy dissipation in the qubit subsystem can enhance the number of photons generated from vacuum. We demonstrate that these effects survive in the steady state as well. The optimal parameters for these two cases of dissipation-induced quantum effects amplification are shown to be results of fine balance of different processes in this hybrid system.