i.e. the oracle changes the sign of the bits that satisfy . Why do we do it this way? Because we can not simply construct a quantum gate that maps . If this gate is not reversible, which is a problem for a quantum computer. , on the other hand, is always reversible. If you fin...
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For some conditions (1) can be solved analytically, provided the coefficient K is constant [23]; In order to get the analytical solution (2) we can apply the Laplace transformation to (1) to convert the partial differential Equation (1) into an ordinary differential equation. When x = L ...