Cancelling teleportation error in legacy IMC code for photonics (without tilts, with simple minimal modifications)

Monte-Carlo (MC) schemes for photonics have been intensively studied all along the last decades, see [1] for a complete review. The recent ISMC scheme described in [2] presents many advantages (no teleportation error, converging behaviour with respect to the spatial and time discretisations). But it is rather different from the IMC one (it is based on a different linearisation and needs a slightly different code architecture). On another hand, legacy codes are often based on IMC implementations. For this reason, it remains important to be able to cancel the teleportation error within IMC codes. Cancelling the teleportation error within the IMC framework is also important for fair comparisons between both the IMC and the ISMC linearisations. This paper aims at suggesting some simple corrections to apply to an IMC implementation to completely cancel the teleportation error.