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is it possible to eliminate a certain possibility of an outcome of 3+ qbits

Quantum Computing Asked by Benedict Bien on July 6, 2021

Let’s say I have n qbits each in a superposition $begin{pmatrix} frac{1}{sqrt{2}} frac{1}{sqrt{2}} end{pmatrix}$ so each possible outcome has a probability of $frac{1}{2^n}$. Is it possible for me to suppress the probability of one outcome?

E.g. I have 3qbits, I want to remove the possibility of reading 101 when I measure the qbits. Possible outcomes:$begin{bmatrix} 000 0011011100101110111 end{bmatrix}$ probabilities of outcomes: $begin{bmatrix} 0.125 0.125.125.125.125.125.125.125end{bmatrix}$ -> $begin{bmatrix} 0.143 0.143.143.143.143.143.143end{bmatrix}$

Is this possible? How could I do that?
Furthermore, is it possible for me to remove the possibility of reading 2 outcomes: say 101 and 110.

Possible outcomes:$begin{bmatrix} 000 0011011100101110111 end{bmatrix}$ probabilities of outcomes: $begin{bmatrix} 0.125 0.125.125.125.125.125.125.125end{bmatrix}$ -> $begin{bmatrix} 0.167 0.167.167.167.167.167end{bmatrix}$

Note: I don’t actually care about the remaining probabilities of the outcomes, as long as they are nonzero.

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