Fidelity as a function of time (in units of ): (a) Overall fidelity, (b) Correlation preservation, and (c) Population preservation. ((d)–(f)) Decoherence matrix elements at time . (d) Global -phase flips impose no symmetry (red) (). (e) Independent identical particles (IIP) symmetry (blue) (); (f) Independent identical trapping (IIT) symmetry (green) (). The parameters are , , , , , and .