00859nas a2200145   4500000000100000000000100001000000100002008004100003100001700044700002000061245002200081300001400103490000700117520058900124       2000                            d1 aJerzy Klamka1 aStefan Węgrzyn00aQuantum computing  a235–2460 v123 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.