1. A position resolved measurement apparatus for acquiring a position information of an irradiation position of a quantum beam incident thereon, the apparatus comprising: a position sensitive detector ( 1 ); an irradiation source ( 6 ); means for measuring the response of detector ( 1 ) generated upon irradiation by irradiation source ( 6 ); wherein an artificial neural network structure ( 7 ) is provided such that the measured detector response is the input to the artificial neural network structure ( 7 ) and the initial space coordinates of irradiation are the output of the artificial neural network structure ( 7 ); the position sensitive detector ( 1 ) comprises an amplification device ( 4 ); and a position sensitive anode ( 2 , 102 ) mounted behind the amplification device ( 4 ), with respect to the direction of irradiation, wherein the amplification device ( 4 ) is realized as: a first electron multiplication cascade ( 131 a ) provided between the detector input face ( 137 ) and the anode ( 102 ), the first electron multiplication cascade ( 131 a ) comprising at least one electron multiplication device ( 104 ) arranged in a stack, the first electron multiplication cascade ( 131 a ) and the at least one electron multiplication device ( 104 ) having each an input face and an output face, the first electron multiplication cascade ( 131 a ) being adapted to multiply a quantum beam incident on its input face; and the detector further comprises: a detector input face ( 137 ) for transmitting a quantum beam ( 101 ) incident onto the detector; a high voltage supplier providing a potential gradient between the input face and the output face of the first electron multiplication cascade ( 131 a ), and means for measuring a detection timing pulse ( 140 ) for timing the detection of the quantum beam incident onto the detector; wherein the means for measuring a detection timing pulse ( 140 ) is connected to an input face ( 107 ) of one of the at least one electron multiplication devices ( 104 ) of the first electron multiplication cascade ( 131 a ), and an output face ( 108 ) of one of the at least one electron multiplication devices ( 104 ) of the first electron multiplication cascade ( 131 a ) is connected to a ground potential, said output face ( 108 ) being arranged between said input face ( 107 ) connected to the means for measuring a detection timing pulse ( 140 ) and the anode ( 102 ).