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We propose an all-electronic technique to manipulate and control interactingquantum systems by unitary single-jump feedback conditioned on the outcome of acapacitively coupled electrometer and in particular a single-electrontransistor. We provide a general scheme to stabilize pure states in the quantumsystem and employ an effective Hamiltonian method for the quantum masterequation to elaborate on the nature of stabilizable states and the conditionsunder which state purification can be achieved. The state engineering withinthe quantum feedback scheme is shown to be linked with the solution of aninverse eigenvalue problem. Two applications of the feedback scheme arepresented in detail: (i) stabilization of delocalized pure states in a singlecharge qubit and (ii) entanglement stabilization in two coupled charge qubits.In the latter example we demonstrate the stabilization of a maximally entangledBell state for certain detector positions and local feedback operations.

Reverse quantum state engineering using electronic feedback loops