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QUANTUM COMPUTING - EXAMPLE 32.6 : (a) Let H | 0 > = 0.707 ( | 0 > + | 1 > ), H | 1 > = 0.707 ( | 0 > - | 1 > ). Find the values for H | 0 > + H | 1 > and H | 0 > - H | 1 >. (b) In quantum computing, a qubyte is a quantum byte, or 8 quantum bits, a sequence processed as a unit. A qubit is a quantum bit. According to Alexander Holevo in his theorem, n qubits cannot carry more than n classical bits of information. What is the maximum amount of classical bits of information that can be carried by 1 qubyte.
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QUANTUM COMPUTING - ANSWER 32.6 : (a) H | 0 > + H | 1 > = 0.707 ( | 0 > + | 1 > ) + 0.707 ( | 0 > - | 1 > ) = 0.707 ( | 0 > + | 1 > + | 0 > - | 1 > ) = 0.707 ( 2 | 0 > ) = 1.414 | 0 >. H | 0 > - H | 1 > = 0.707 ( | 0 > + | 1 > ) - 0.707 ( | 0 > - | 1 > ) = 0.707 [ | 0 > + | 1 > - ( | 0 > - | 1 > ) ] = 0.707 ( 2 | 1 > ) = 1.414 | 1 >. (b) A qubyte = 8 qubits. When n = 8, maximum amount of classical bits = 8. 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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