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Using the Buttiker formalism, we calculated the conductance of a one-dimensional interferometer,which consists of two quantum point contacts (QPC's) and a cavity sandwiched between them, in the presence of a phase randomizing scatterer located at the lower boundary of the cavity. The results show that a little inelastic scattering will completely destroy the formation of discrete zero-dimensional states, but the Aharonov-Bohrn-type oscillations can still take place, which are influenced by the inelastic scatterer.

The Hanbury–Brown–Twiss interferometer is proposed to serve as a detector of the crossed Andreev reflection and to generate entangled electron-hole pairs. It is shown that the non-local electron and hole induced by the crossed Andreev reflection are entangled. Quantum interference of the entangled electron-hole pairs gives rise to a new measurable effect of the phase difference between two superconductors in the cross correlation. The present theoretical predictions can be experimentally realized within the present-day microelectronic technology.