Recent content by elere
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Graduate Maximizing Two Functions with Constraints in Phase Covariant Cloning Machine
yes it is, i managed (finally) to write the lagrange's equations, which are satisfied for the specific set of variables I've mentioned ! thanks for your time and you help :smile:- elere
- Post #9
- Forum: General Math
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Graduate Maximizing Two Functions with Constraints in Phase Covariant Cloning Machine
i'm really sorry, I've forget one costraint, the constraint is A^2+B^2+C^2+D^2=1, and since A=D=0 ...- elere
- Post #7
- Forum: General Math
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Graduate Maximizing Two Functions with Constraints in Phase Covariant Cloning Machine
well, B and C aren't equal to one, they are parameters which satisfy A^2+B^2=1 (first constraint). and for the way to maximize the functions, well i guess in anyway, as the two variables B and C (which can be seen as Cos and Sin) are not specified, the symmetrical case correspond to maximizing...- elere
- Post #5
- Forum: General Math
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Graduate Maximizing Two Functions with Constraints in Phase Covariant Cloning Machine
my fault, the 6 variables along with two others that I've managed to simplify in the expressions verifies a orthonormalization conditition : a^2+b^2+c^2+d^2=1 and aA+bB+cC+dD=0 . and here are the ramaining constraints : Ac+Bd=Ab+Cd=0 and ac+AC+bd+BD=ab+AB+cd+CD=0. the set that i want to proof...- elere
- Post #3
- Forum: General Math
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Graduate Maximizing Two Functions with Constraints in Phase Covariant Cloning Machine
hello, in the task of finding the optimal phase covariant cloning machine, i have to maximize two functions of six variables :f1=a.C+b.D and f2=a.B+c.D , they are many constraints, but I've already used them to get to those expressions in the first place, the variables are real scalars and vary...- elere
- Thread
- Functions Optimization
- Replies: 8
- Forum: General Math