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QUANTUM COMPUTING - EXAMPLE 32.8 : In quantum computing, a quantum state is given by S = a | 00 > + b | 01 > + g | 10 > + d | 11 >. (a) Find S in term of | 0 > and | 1 > etc. (b) The probability of getting x is P(x). For S = 0.5 | 00 > + 0.5 | 01 > + 0.5 | 10 > + 0.5 | 11 >, find P(0) and P(1). Hint : P(00) + P(01) = P(0) = a x a + b x b, P(10) + P(11) = P(1) = g x g + d x d.
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Answer Posted / kangchuentat
QUANTUM COMPUTING - ANSWER 32.8 : (a) S = a | 00 > + b | 01 > + g | 10 > + d | 11 > = | 0 > ( a | 0 > + b | 1 > ) + | 1 > ( g | 0 > + d | 1 > ). (b) By comparison of S, a = b = g = d = 0.5. P(0) = a x a + b x b = 0.5 x 0.5 + 0.5 x 0.5 = 0.5, P(1) = g x g + d x d = 0.5 x 0.5 + 0.5 x 0.5 = 0.5. 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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