The supplement is organized as follows:

1) We provide the Appendix containing the detailed proofs.

2) The code directory contains code in MATLAB for the plots in Figure 2 of the manuscript. 
   (i) runExp1_vary_n.m varies the number of samples n, keeping the dimension d and number of bits \beta fixed, generating Figure 2(a). 
   (ii) runExp2_vary_d.m varies the dimension d, keeping the number of samples n and the number of bits \beta fixed, generating Figure 2(b).
   (iii) runExp3_vary_bits.m varies the number of bits \beta, keeping the number of samples n and the dimension d, generating Figure 3(b).