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We show that a 3-port interferometer, defined by quantum point contacts in atwo-dimensional electron gas, and working in the quantum Hall regime, canimplement different logic gates at each port depending on the energy of chargecarriers and the operating conditions. In all cases the input logic states areencoded in the potentials applied on the quantum point contacts, while theoutput logic states are encoded in the values of the overall transmissioncoefficients at each port. In addition, the output of such compactconfigurations can be reprogrammed by combining two 3-port interferometers.

Ballistic 3-port interferometric logic gates in the quantum Hall regime