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An expansion for quantum statistical mechanics is derived that givesclassical statistical mechanics as the leading term. Each quantum correctioncomes from successively larger permutation loops, which arise from thefactorization of the symmetrization of the wave function with respect tolocalized particle interchange. Explicit application of the theory yields thefull fugacity expansion for the quantum ideal gas, and the second fugacitycoefficient for interacting quantum particles, which agree with known results.Compared to the Lee-Yang virial cluster expansion, the present expansion isexpected to be more rapidly converging and the individual terms appear to besimpler to evaluate. The results obtained in this paper are intended forpractical computer simulation algorithms for terrestrial condensed matterquantum systems.

Expansion for Quantum Statistical Mechanics Based on Wave Function Symmetrization