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proxy ¤

about proxy

Task and some other usefull functions

Functions:

Name Description
math_demo

Look at these formulas:

math_demo(x, y) ¤

Look at these formulas:

The U3 gate is a single-qubit gate with the following matrix representation:

\[ U3(\theta, \phi, \lambda) = \begin{bmatrix} \cos(\theta/2) & -e^{i\lambda} \sin(\theta/2) \\ e^{i\phi} \sin(\theta/2) & e^{i(\phi + \lambda)} \cos(\theta/2) \end{bmatrix} \]

inline: \(P(A_i|B)=\frac{P(B|A_i)P(A_i)}{\sum_j P(B|A_j)P(A_j)}\)

That is, remove \(e^{i\alpha}\) from \(U = e^{i\alpha} R_z(\phi) R_y(\theta) R_z(\lambda)\) and return \(R_z(\phi) R_y(\theta) R_z(\lambda)\).

\[ U = e^{i \cdot p} U3(\theta, \phi, \lambda) \]

\(P(A_i|B)=\frac{P(B|A_i)P(A_i)}{\sum_j P(B|A_j)P(A_j)}\)

Source code in quark/proxy.py 
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def math_demo(x, y):
    r"""Look at these formulas:

    The U3 gate is a single-qubit gate with the following matrix representation:

    $$
    U3(\theta, \phi, \lambda) = \begin{bmatrix}
        \cos(\theta/2) & -e^{i\lambda} \sin(\theta/2) \\
        e^{i\phi} \sin(\theta/2) & e^{i(\phi + \lambda)} \cos(\theta/2)
    \end{bmatrix}
    $$

    inline: $P(A_i|B)=\frac{P(B|A_i)P(A_i)}{\sum_j P(B|A_j)P(A_j)}$


    That is, remove $e^{i\alpha}$ from $U = e^{i\alpha} R_z(\phi) R_y(\theta) R_z(\lambda)$ and return
    $R_z(\phi) R_y(\theta) R_z(\lambda)$.

    $$
        U = e^{i \cdot p} U3(\theta, \phi, \lambda)
    $$

    $P(A_i|B)=\frac{P(B|A_i)P(A_i)}{\sum_j P(B|A_j)P(A_j)}$
    """