The violation of Bell's inequality requires a well-designed experiment to
validate the result. In experiments using energy-time and time-bin
entanglement, initially proposed by Franson in 1989, there is an intrinsic
loophole due to the high postselection. To obtain a violation in this type of
experiment, a chained Bell inequality must be used. However, the local realism
bound requires a high visibility in excess of 94.63 percent in the time-bin
entangled state. In this work, we show how such a high visibility can be
reached in order to violate a chained Bell inequality with 6, 8 and 10 terms.Comment: 8 pages, 4 figure