Calibrating the standard candles with strong lensing
  We propose a new model-independent strategy to calibrate the distance
relation in Type Ia supernova (SN) observations and to probe the intrinsic
properties of SNe Ia, especially the absolute magnitude $M_B$, basing on strong
lensing observations in the upcoming Large Synoptic Survey Telescope (LSST)
era. The strongly lensed quasars can provide the Time Delay Distances (TDD) and
the Angular Diameter Distances (ADD) to the lens galaxies. These absolute
distance measurements can model-independently anchor the SNe Ia at cosmological
distances. We simulated 55 high-quality lensing systems with $5\%$
uncertainties for both TDD and ADD measurements basing on future observation
conditions. For the time delay distances and the angular diameter distances as
the calibration standards, the calibrated $1\sigma$ uncertainties of $M_{B}$
are approximately 0.24 mag and 0.03 mag, respectively. Besides, we also
consider an evolving distance relation, for example, caused by the cosmic
opacity. In this case, the $1\sigma$ uncertainties of $M_B$ calibrated with TDD
and ADD are approximately 0.31 mag and 0.06 mag, respectively. The results show
that the ADD method will be a promising tool for calibrating supernovae.
