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The canonical partition function approach was designed to avoid the overlapproblem that affects the lattice simulations of nuclear matter at high density.The method employs the projections of the quark determinant on a fix quarknumber sector. When the quark number is large, the evaluation of the projecteddeterminant becomes numerically unstable. In this paper a different evaluationmethod based on expanding the determinant in terms of loops winding around thelattice is studied. We show that this method is stable and significantly fasterthan our original algorithm. This greatly expands the range of quark numbersthat we can simulate effectively.

Winding number expansion for the canonical approach to finite density simulations