Figure 1

Figures illustrate dependence of the time averaged variance $\overline{\text{Var}{m}_z}$ on the number of qubits $N$. Lines in 1b and 1d represent double exponential functions fitting the data calculated at $N=2,6,10,15$. In 1a the data are fitted by an exponential (case c, boxes) and a constant (case q, diamonds). Lines in 1c only connect the data of the same type. In 1b, 1c, and 1d black boxes and black line are for the quantum nonintegrable and gray boxes and gray line for the integrable local [Fig. 1b] and global [Fig. 1c] Hamiltonians. Figure 1d is for the open nonsymmetric (black) and symmetric (gray) globally interacting systems with thermal (diamonds with full line) and dephasing (boxes with dotted line).Reuse & Permissions

Figure 2

Comparison of the time averaged quantum $\overline{{\text{Var}}_q{m}_z}$ (boxes and full line) and total $\overline{\text{Var}{m}_z}$ (diamonds and dotted line) variances for the example of thermal environment and nonsymmetric globally interacting system. Lines are as in Fig. 1 double exponential functions numerically fitted to the data calculated at $N=2,6,10,15$.Reuse & Permissions