ENTANGLEMENT IN NONLINEAR TWO-QUBIT TAVIS — CUMMINGS MODEL

R. K. Zakharov, E. K. Bashkirov
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Abstract

In this work, we have studied the dynamics of entanglement of two identical superconducting qubits resonantly interacting with the one-mode field of a coplanar microwave cavity without loss through single-photon transitions in the presence of third- and fifth-order nonlinearities. Based on the solution of the equation of evolution of the system for the Fock initial states of the cavity field, the criterion of qubits entanglement negativity is calculated. The results of the negativity calculation show that for the initial separable states, the cavity nonlinearity can lead to a significant increase in the maximum degree of qubit entanglement. It is shown that for the initial entangledstates of qubits and intense cavity fields, taking into account nonlinearities leads to stabilization of the degree of entanglement of qubits in the cavity and contributes to the disappearance of the effect of the entanglement sudden death of qubits.
非线性双量子位tavis - cummings模型中的纠缠
在这项工作中,我们研究了两个相同的超导量子比特在三阶和五阶非线性存在下通过单光子跃迁与共面微波腔的单模场共振相互作用而没有损失的纠缠动力学。在求解系统的Fock初始态演化方程的基础上,计算了量子比特纠缠负性的判据。负性计算结果表明,对于初始可分态,腔非线性可以导致最大量子比特纠缠度的显著增加。结果表明,对于量子比特的初始纠缠态和强腔场,考虑非线性可以使量子比特在腔中的纠缠度趋于稳定,并有助于消除量子比特纠缠猝死的影响。
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