  We present efficient algorithms for CMB lensing simulation and power spectrum
es- timation for flat-sky CMB polarization maps. We build a pure B-mode
estimator to remedy E to B leakage due to partial sky coverage. We show that
our estimators are unbiased, and consistent with the projected errors. We
demonstrate our algorithm using simulated observations of small sky patches
with realistic noise and weights for upcoming CMB polarization experiments.
