00952nas a2200157   4500000000100000008004100001100002000042700001700062700002100079700002300100700002000123245004400143300001100187490000700198520058900205       2004                            d1 aStefan Węgrzyn1 aJerzy Klamka1 aLech Znamirowski1 aRyszard Winiarczyk1 aSławomir Nowak00aNano and quantum systems of informatics  a1–100 v523 aIn the present studies on quantum computer systems principles of a quantum logic gates and basic elements of quantum computers are described. The fundamental elements of quantum computer and mathematical backgrounds of suitable quantum computation processes are presented. Specially Toffoli quantum gate and Hadamard quantum gate are discussed in details. Mathematical bases and principles of quantum computations are also mentioned. Finally, the role of nuclear magnetic resonance in quantum computations is investigated. Moreover, the extensive list of references is also presented.