A system for implanting a heart valve includes a radially self-expandable tubular body having an inflow end and an outflow end, a decorrelation portion, and a preformed groove disposed at an outer surface of the tubular body between the decorrelation portion and the outflow end. The preformed groove extends at least partially around the tubular body, and has a circumferential opening facing radially outward of the tubular body. A valve is disposed within and attached to the tubular body. The decorrelation portion is configured to dissociate axial and radial movements between the inflow end of the tubular body and the outflow end of the tubular body.
