Long-lived entangled qudits in a trapped three-level ion beyond the Lamb–Dicke limit

Abstract

Higher dimensional quantum entanglement in a trapped three-level ion interacting with two laser beams in scheme is investigated beyond the Lamb-Dicke limit. It is shown that higher dimensional entanglement can be established in a single step, with a tunable dimensionality and duration via the Lamb-Dicke parameter.

In the Context of Time-Independent Parameters in Two Quantum Systems: Quantum Entanglement and Correlations With Negativity Measurement

“…Product base and entangled base are shown generalization of Schmidt coefficients [15]. Quantum entanglement of states of pure qutrit [16] and of states of mixed qubit-qutrit [17] are demonstrated by a quantum system within the configuration. Advanced calculations and results in the four articles mentioned in [14][15][16][17] contain differences from classical theoretical calculations.…”

“…We report analytical results of quantum entanglement for system via N for the LDR and12-D of Hilbert space. We focus the quantum correllations in N [11,16] with respect to the total and the reduced density matrix. With respect to Ref.…”

Analyzing of Quantum Entanglement with Concurrence in the Deep Lamb-Dicke Regime

“…6 with two graphics for two optimum time. Our previous analytical results [16,26,27] entropy, which are the other elaborated measurements from the measurement family defining the entanglement concept, have also been studied in the literature [6,8,11,18,26,27,29]. We propose the quantum dynamics with concurrence for coupling parameters.…”

“…This is called "deep LD regime" is qualified by = 0.005, the other way, it is known that "beyond LD regime" is = 0.5. In this paper, we measured quantum entanglement with concurrence in the deep LD regime distinctively from the other paper [16]. The values of concurrence for two optimum time are given in Table 1.…”

“…Entanglement of pure qudit states [16] and of mixed qudit states [17] are demonstrated by a quantum system with single-step dynamics under the Λ configuration. The calculations and graphs in these three articles differ from the traditional theoretical approach.…”