An all-superconducting bijunction consists of a central superconductor
contacted to two lateral superconductors, such that non-local crossed Andreev
reflection is operating. Then new correlated transport channels for the Cooper
pairs appear in addition to those of separated conventional Joseph- son
junctions. We study this system in a configuration where the superconductors
are connected through gate-controllable quantum dots. Multipair phase-coherent
resonances and phase-dependent multiple Andreev reflections are both obtained
when the voltages of the lateral superconductors are commensurate, and they add
to the usual local dissipative transport due to quasiparticles. The two-pair
resonance (quartets) as well as some other higher order multipair resonances
are {\pi}-shifted at low voltage. Dot control can be used to dramatically
enhance the multipair current when the voltages are resonant with the dot
levels.Comment: 6 page
