  Generalizing the idea of hep-th/0509015 by Berenstein, Correa, and Vazquez,
we study many-magnon states in an SU(2) sector of a reduced matrix quantum
mechanics obtained from N=4 SU(N) super Yang-Mills on R x S^3. Generic Q-magnon
states are described as a chain of ``string-bits'' joining Q+1 eigenvalues of
background matrices which form a 1/2 BPS circular droplet in the large N limit.
We will concentrate on infinitely long states whose first and last eigenvalues
localize at the edge of the droplet. Each constituent string-bit has a complex
quasi-momentum in general, while the total quasi-momentum P of the state is
real. For given Q and P, the minimum energy of the chain of string-bits is
realized when the Q+1 eigenvalues are equally spaced on one and the same line
segment joining the two outmost eigenvalues localized on the edge with angular
difference P. Such configuration of bound string-bits precisely reproduces the
dispersion relation for dyonic giant magnons in classical string theory. We
also show the emergence of two-spin folded/circular strings in special infinite
spin limit as particular configurations of closed chains of string-bits.
