  The negative-sign problem in one-dimensional frustrated quantum spin systems
is solved. We can remove negative signs of the local Boltzmann weights by using
a dimer basis that has the spin-reversal symmetry. Validity of this new basis
is checked in a general frustrated double-spin-chain system, namely the
J_0-J_1-J_2-J_3 model. The negative sign vanishes perfectly for $J_0 + J_1 \leq
J_3$.
