QUANTUM COMPUTING - EXAMPLE 32.9 : In quantum computing, find the equations of S = (a | 0 > + b | 1 >) (g | 0 > + d | 1 >) in term of | 00 >, | 01 >, | 10 > and / or | 11 > when ad = 0.
QUANTUM COMPUTING - ANSWER 32.9 : If ad = 0, then a = 0 but d ≠ 0, or d = 0 but a ≠ 0, or a = d = 0. When a = 0 but d ≠ 0, S = (b | 1 >) (g | 0 > + d | 1 >) = bg | 10 > + bd | 11 >. When d = 0 but a ≠ 0, S = (a | 0 > + b | 1 >) (g | 0 >) = ag | 00 > + bg | 10 >. When a = d = 0, S = (b | 1 >) (g | 0 >) = bg | 10 >. The answer is given by Kang Chuen Tat; PO Box 6263, Dandenong, Victoria VIC 3175, Australia; SMS +61405421706; chuentat@hotmail.com; http://kangchuentat.wordpress.com.
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In differential centrifugation of cells with diameter D in centimeter, the square of D is given by D x D = [18n ln (RF / RI) ] / [ (RP – RFF) Wt ] where n is the fluid viscosity (poise), RF is the final radius of rotation (cm), RI is the initial radius of rotation (cm), RP is cell density (g/ml), RFF is the fluid density (g/ml), W the square for the rotational velocity in (radians / s) (radians / s), t is the time required to sediment from RI to RF (s). Derive an equation for W as a function for D, n, RF, RI, RP, RFF and t, with the stated units above, in radian
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