Abstract
It is well known that many quantum information processing methods in artificial atoms depend largely on their engineering properties and their ability to generate quantum correlations. In this paper, we investigate the non-classical correlation dynamics of two trapped ions by using local quantum Fisher information, local quantum uncertainty, as well as logarithmic negativity. The system engineering is designed such that the two-trapped-ions work as two diploe-coupled qubits in a Lamb-Dicke regime. The center-of-mass vibrational modes are initially in coherent/even coherent states. It is found that the two-trapped-ions correlations can be controlled by the Lamb-Dicke nonlinearity, the nonclassicality effect of the initial center-of-mass vibrational mode, as well as the trapped-ion coupling and the intrinsic decoherence. The sudden changes in the non-classical correlations and their stability are shown against Lamb-Dicke nonlinearity, the nonclassicality, the trapped-ion coupling, and the intrinsic decoherence.
Highlights
Generating multiqubit correlated states is an efficient tool in quantum information [1,2,3,4].Entanglement represents a special type of non-classical correlations (NCCs) and occupies a privileged position among them
We have explored the dynamics of different kinds of two-trapped-ion correlations under intrinsic decoherence via local quantum Fisher information, the local quantum uncertainty, and the logarithmic negativity
The two-trapped-ion correlations have been analyzed under the effects of the Lamb-Dicke nonlinearity, the initial center-of-mass vibrational mode nonclassicality, as well as the trapped-ion coupling and the intrinsic decoherence
Summary
Generating multiqubit correlated states is an efficient tool in quantum information [1,2,3,4]. After introducing quantum discord [9] as another type of NCC beyond entanglement, several quantifiers were proposed and used to quantify other non-classical correlations [10,11,12,13,14]. In the Lamb-Dicke (LD) regime, where the LD nonlinearity is very small, the trapped-ion qubits can be cooled down to their ground state [43], and non-classical effects can be generated [44,45]. We are interested in analyzing the dynamical behavior of log-negativity entanglement, the LQU, and the LQFI correlations in two dipole–dipole coupled trappedions beyond the Lamb-Dicke regime.
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