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In a recent publication [S. Groth \textit{et al.}, PRB (2016)], we have shownthat the combination of two novel complementary quantum Monte Carlo approaches,namely configuration path integral Monte Carlo (CPIMC) [T. Schoof \textit{etal.}, PRL \textbf{115}, 130402 (2015)] and permutation blocking path integralMonte Carlo (PB-PIMC) [T. Dornheim \textit{et al.}, NJP \textbf{17}, 073017(2015)], allows for the accurate computation of thermodynamic properties of thespin-polarized uniform electron gas (UEG) over a wide range of temperatures anddensities without the fixed-node approximation. In the present work, we extendthis concept to the unpolarized case, which requires non-trivial enhancementsthat we describe in detail. We compare our new simulation results with recentrestricted path integral Monte Carlo data [E. Brown \textit{et al}., PRL\textbf{110}, 146405 (2013)] for different energy contributions and pairdistribution functions and find, for the exchange correlation energy, overallbetter agreement than for the spin-polarized case, while the separate kineticand potential contributions substantially deviate.

Ab Initio Quantum Monte Carlo Simulations of the Uniform Electron Gas without Fixed Nodes II: Unpolarized Case