  An alternative method of detection-loophole-free Bell test is proposed using
local hidden variable (LHV) models with optimal detection efficiencies. A
framework for constructing such optimal LHV models is presented. Optimal LHV
models for maximally and non-maximally entangled twopartite states are
constructed to reproduce the quantum correlations within the critical detection
efficiencies. The LHV models are shown to be completely equivalent with the
existing twopartite Bell inequalities in their optimized setups, and to have
even lower critical efficiencies in the LHV modes' own optimized setups.
Applications in Bell tests and in device-independent quantum information
processing are discussed.
