The standard theory of quantum computation reliesontheideathatthebasicinformationquantityisrepresented by a superposition of elements of the canonical basis andthenotionofprobabilitynaturallyfollowsfromtheBorn rule.Inthisworkweconsiderthreevaluedquantumcomputationallogics.Morespecifically,wewillfocusontheHilbert spaceC3,wediscussextensionsofseveralgatestothisspace and,usingthenotionofeffectprobability,weprovideacharacterization of its states.
A note on many valued quantum computational logics
SERGIOLI, GIUSEPPE;LEDDA, ANTONIO
2017-01-01
Abstract
The standard theory of quantum computation reliesontheideathatthebasicinformationquantityisrepresented by a superposition of elements of the canonical basis andthenotionofprobabilitynaturallyfollowsfromtheBorn rule.Inthisworkweconsiderthreevaluedquantumcomputationallogics.Morespecifically,wewillfocusontheHilbert spaceC3,wediscussextensionsofseveralgatestothisspace and,usingthenotionofeffectprobability,weprovideacharacterization of its states.
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