> + >>> from sympy.physics.quantum.spin import JzKet > + >>> from sympy.physics.quantum.density import Density, fidelity > + >>> from sympy.physics.quantum.represent import represent > + >>> > + >>> up = JzKet(S(1)/2,S(1)/2) > + >>> down = JzKet(S(1)/2,-S(1)/2) > + >>> amp = 1/sqrt(2) > + >>> updown = (amp * up) + (amp * down) > + >>> > + >>> # represent turns Kets into matrices > + >>> up_dm = represent(up * Dagger(up)) > + >>> down_dm = represent(down * Dagger(down)) > + >>> updown_dm = represent(updown * Dagger(updown)) > + >>> updown2 = (sqrt(3)/2 )* up + (1/2)*down > + >>> > + >>> print fidelity(up_dm, up_dm)
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